The formal structure of generalized continuum theories is recovered by means of the extension of canonical thermomechanics with dual weakly non-local internal variables. The canonical thermomechanics provides the best framework for such generalization. The Cosserat, micromorphic, and second gradient elasticity theory are considered as examples of the obtained formalization.

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 229-240, 2011]]>Equilibria of axially moving beams are computationally investigated in the supercritical transport speed ranges. In the supercritical regime, the pattern of equilibria consists of the straight configuration and of non-trivial solutions that bifurcate with transport speed. The governing equations of coupled planar is reduced to a partial-differential equation and an integro-partial-differential equation of transverse vibration. The ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 51-64, 2011]]>The idea, first used by the author for the case of crack problems, is applied here to solve a contact problem for a transversely isotropic elastic layer resting on a smooth elastic half-space, made of a different transversely isotropic material. A rigid punch of arbitrary shape is pressed against the layer’s free surface. The governing integral equation is derived; ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 957-974, 2011]]>The dynamical response of axially moving, partially supported, stretched viscoelastic belts is investigated analytically in this paper. The Kelvin–Voigt viscoelastic material model is considered and material, not partial, time derivative is employed in the viscoelastic constitutive relation. The string is considered as a three part system: one part resting on a nonlinear foundation and two that are free to ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 781-799, 2011]]>Based on Timoshenko beam theory, the dynamic response of an elastically connected multiple-beam system is investigated. The identical prismatic beams are assumed to be parallel and connected by a finite number of springs. Assuming n parallel Timoshenko beams, the motion of the system is described by a coupled set of 2n partial differential equations. The method involves a change ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 263-281, 2011]]>Analytical solution of the non-Fourier Axisymmetric temperature field within a finite hollow cylinder is investigated considering the Cattaneo-Vernotte constitutive heat flux relation. The solution is found for the most general linear time-independent boundary conditions. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The standard method of separation of variables is used. ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 569-583, 2011]]>A higher-order global–local theory is proposed based on the double-superposition concept for free vibration and dynamic buckling analyses of viscoelastic composite/sandwich plates subjected to thermomechanical loads. In contrast to all theories proposed so far for analysis of the viscoelastic plates, the continuity conditions of the transverse shear and normal stresses at the layer interfaces and the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1253-1268, 2011]]>In this research work, an exact analytical solution for buckling of functionally graded rectangular plates subjected to non-uniformly distributed in-plane loading acting on two opposite simply supported edges is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 765-780, 2011]]>This paper deals with a class of linearly elastic material bodies of a special shape, namely the cuspidate prismatic shell-like bodies introduced by I. Vekua, studied in the framework of Vekua’s 0-order approximation theory. It is shown per exempla that when such bodies are subject to concentrated boundary loads, concentrated internal contact interactions may arise. This fact helps ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-19, 2011]]>Having a potential core, the velocity profile in initial zone of incompressible submerged jet flow is different from that in fully developed region. In the former researches, the two regions were studied separately, even a short part between the two regions being considered as a transition region. The velocity profile in fully developed region looked as a Gaussian distribution, which ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 397-402, 2011]]>In this paper, we analyze an improved suspension system with the incorporated inerter device of the quarter-car model to obtain optimal design parameters for maximum comfort level for a driver and passengers. That is achieved by finding the analytical solution for the system of ordinary differential equations, which enables us to generate an optimization problem whose objective function is ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-11, 2011]]>A general method is formulated to estimate damage location and extent from the explicit perturbation terms in specific set of eigenvectors and eigenvalues. At first, perturbed orthonormal equation is generated from the perturbation of eigenvectors and eigenvalues to obtain the k-th explicit perturbation coefficients. At second, perturbed eigenvalue equation is generated from the perturbation of eigenvector and eigenvalue, and ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 451-472, 2011]]>Two refined displacement models, RSDT1 and RSDT2, are developed for a bending analysis of functionally graded sandwich plates. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The developed models are variationally consistent, have strong similarity with classical plate theory in many aspects, do not require ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-16, 2011]]>Both linear and weakly nonlinear stability analyses are performed to study thermal convection in a rotating couple-stress fluid-saturated rigid porous layer. In the case of linear stability analysis, conditions for the occurrence of possible bifurcations are obtained. It is shown that Hopf bifurcation is possible due to Coriolis force, and it occurs at a lower value of the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 513-530, 2011]]>In this paper, a size-dependent Timoshenko beam is developed on the basis of the couple stress theory. The couple stress theory is a non-classic continuum theory capable of capturing the small-scale size effects on the mechanical behavior of structures, while the classical continuum theory is unable to predict the mechanical behavior accurately when the characteristic size of ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 863-874, 2011]]>Two-dimensional magnetic field and magneto-elastic stress solutions are presented for a magnetic material of a thin infinite plate with an elliptical hole under uniform magnetic field. The linear constitutive equation is used for the magnetic field and the stress analyses. The magneto-elastic stress is analyzed using Maxwell stress since only Maxwell stress is caused as a body ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 745-764, 2011]]>The literature regarding the free vibration analysis of Bernoulli–Euler and Timoshenko beams under various supporting conditions is plenty, but the free vibration analysis of Reddy–Bickford beams with variable cross-section on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 199-213, 2011]]>A coupled dynamic problem of electromechanics for thin wall multilayer elements is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using the monoharmonic approach and the concept of complex moduli to characterize the cyclic properties of the material. The problem of forced vibrations of three-layer beam, whose outer layers ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 215-227, 2011]]>The elastic buckling behavior of quadrilateral single-layered graphene sheets (SLGS) under bi-axial compression is studied employing nonlocal continuum mechanics. Small-scale effects are taken into consideration. The principle of virtual work is employed to derive the governing equations. The Galerkin method in conjunction with the natural coordinates of the nanoplate is used as a basis for the analysis. ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1051-1062, 2011]]>Euler–Bernoulli arbitrary discontinuous beams acted upon by static loads are addressed. Based on appropriate Green’s functions here derived in a closed form, the response variables are obtained: (a) for stepped beams with internal springs, as closed-form functions of the beam discontinuity parameters, without enforcing neither internal nor boundary conditions; (b) for stepped beams with internal springs and along-...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 605-628, 2011]]>In the present paper, the differential transformation method is employed to develop a semi-analytical solution for free vibration and modal stress analyses of two-dimensional functionally graded circular plates resting on two-parameter elastic foundations. Simultaneous variations of the material properties in the radial and transverse directions are described by a general function. Some comprehensive sensitivity analyses are performed, ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1289-1306, 2011]]>Composite structures on an elastic foundation are being widely used in engineering applications. Bending response of inhomogeneous viscoelastic plate as a composite structure on a two-parameter (Pasternak’s type) elastic foundation is investigated. The formulations are based on sinusoidal shear deformation plate theory. Trigonometric terms are used in the present theory for the displacements in addition to the initial terms ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 77-96, 2011]]>A smoothed Hermite radial point interpolation method using gradient smoothing operation is formulated for thin plate analysis. The radial basis functions augmented with polynomial basis are used to construct the shape functions that have the important Delta function property. The smoothed Galerkin weakform is adopted to discretize the governing partial differential equations, and a curvature smoothed operation is developed to ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 1-18, 2011]]>For arbitrary polynomial loading and a sufficient finite number of nodal points N, the solution for the 3D Timoshenko beam differential equations is polynomial and given as $${{\varvec \theta} = \sum_{i=1}^N I_i {\varvec \theta}_i}$$ for the rotation field and $${{\bf u} = \sum_{i=1}^{N+1} J_i {\bf u}_i}$$ for the displacement field, where I ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 171-183, 2011]]>In the present study, a vibration frequency analysis of a bi-layered cylindrical shell composed of two independent functionally graded layers is presented. The thickness of the shell layers is assumed to be equal and constant. Material properties of the constituents of bi-layered functionally graded cylindrical shell are assumed to vary smoothly and continuously through the thickness of the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 319-343, 2011]]>In this research, the developing turbulent swirling flow in the entrance region of a pipe is investigated analytically by using the boundary layer integral method. The governing equations are integrated through the boundary layer and obtained differential equations are solved with forth-order Adams predictor-corrector method. The general tangential velocity is applied at the inlet region to consider both ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 489-501, 2011]]>This paper deals with the study of unsteady flow of a Maxwell fluid with fractional derivative model, between two infinite coaxial circular cylinders, using Laplace and finite Hankel transforms. The motion of the fluid is produced by the inner cylinder that, at time t = 0+, is subject to a time-dependent longitudinal shear stress. Velocity field and the adequate shear ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1153-1163, 2011]]>The axisymmetric problem of a penny-shaped crack embedded in an infinite three-dimensional (3D) piezoelectric body is considered. A general formulation of Coulomb traction on the crack surfaces can be obtained based on thermodynamical considerations of electromechanical systems. Three-dimensional electroelastic solutions are derived by the classical complex potential theory when Coulomb traction is taken into account and the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 685-700, 2011]]>In this paper, a new method for analysis of the pseudoelastic response of shape memory alloy thick-walled cylinders subjected to internal pressure is proposed. Two cases of short and long cylinders are considered by assuming the plane stress and plane strain conditions. In each case, a three-dimensional phenomenological SMA constitutive model is simplified to obtain the corresponding two-...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1093-1116, 2011]]>The effects of surface energy on the interaction between holes or edge are investigated. Three typical problems are discussed: (1) an infinite plate containing two holes of unequal size subjected to an all-round tension, (2) a circle disc containing an eccentric hole subjected to uniform pressure on either external or internal surface, (3) a semi-infinite plate containing an ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 385-395, 2011]]>The present paper investigates the peristaltic transport of a couple stress fluid in an asymmetric channel with the effect of the induced magnetic field. The exact solutions of momentum and the magnetic field equations have been calculated under the assumptions of long wave length and low but finite Reynolds number. The expression for pressure rise has been computed numerically using ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 97-109, 2011]]>The paper deals with the Engineering Design that is a general methodology of a design process. It is assumed that a designer has to solve a design task as an inverse problem in an iterative way. After each iteration, a decision should be taken on the information that is called a centre of integration in a systematic design system. For ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 141-156, 2011]]>We proposed an original method to investigate the problem of torsion of anisotropic cross-section. We implemented an energy method to calculate the stress function represented by infinite series of trigonometric functions adapted to rectangular cross-section. After validation, we implemented a parametric sensitivity study to investigate the influence of the cross-section aspect ratio and the anisotropy level on ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 801-808, 2011]]>In this paper, the postbuckling behavior of rectangular orthotropic laminated composite plates with initial imperfections under inplane shear load is investigated in a closed-form analytical manner. The plates under consideration are assumed to be infinitely long in the longitudinal direction. At the longitudinal edges, two different sets of boundary conditions are considered, specifically 1) simply supported edges and 2) ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-18, 2011]]>Due to the inherent brittleness of ceramics, the reliability of ceramic components is evaluated using the Weibull theory. Hence, the failure probability due to the presence of surface or volume flaws is calculated using a suitable fracture mechanics approach. In the following paper, the weakest link approach is generalized for the case of bi-material ceramic joints. Here, interface cracks ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-12, 2011]]>A mechanism for the excitation of piston rod vibrations in automotive damper modules is discussed by a simple model. An improved nonlinear model based on elasticity effects leads to good simulation results. It is shown theoretically and experimentally that the adaptation of the stiffness of the piston rod bushing to the “stiffness” of the damper force characteristic can eliminate the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 853-862, 2011]]>Track irregularities have a dramatic impact on the response and vibration of a railway vehicle and on the interaction between wheel and rail. The random nature of the track structure and constituent materials and the effects of other factors such as maintenance conditions and transit traffic give rise to the random nature of track irregularities. This research provides a method ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-17, 2011]]>Axisymmetric vibrations of multi-walled carbon nanotubes (MWCNTs) with finite length are investigated in this paper. A multi-walled carbon nanotube is modeled with multiple elastic isotropic shells. Based on a continuum model and considering van der Waals forces between tubes, a two-dimensional finite element model is developed to obtain axisymmetric natural frequencies and mode shapes of MWCNTs. First, ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1129-1140, 2011]]>In this paper, the differential quadrature (DQ) method is presented for easy and effective analysis of isotropic functionally graded (FG) and functionally graded coated (FGC) thin plates with constant Poisson’s ratio and varying Young’s modulus in the thickness direction. The bending of FG and FGC plates under transverse loading has been studied using the polynomial differential quadrature (PDQ) and the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-17, 2011]]>By means of the theory of complex functions, fracture dynamics problems concerning mode I semi-infinite crack were studied. Analytical solutions of stress, displacement and dynamic stress intensity factor under the action of moving increasing loads Pt 3/x 3, Px 3/t 2, respectively, are very easily obtained using the ways of self-similar functions. The correlative closed solutions ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1181-1193, 2011]]>Using the approach based on separation of variables, an analytic solution of the class of boundary value problems of the shallow cylindrical shell theory is constructed by Vekua’s method. The cylindrical shell is assumed to be rectangular in the plan. Conditions of a free support or sliding fixation are given on the sides of the rectangle; the load on the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 531-542, 2011]]>The transient temperature field and corresponding quasi-static thermal stresses are analysed in a system consisting of a semi-space and a strip. The strip is heated on its outer surface by a heat flux with the intensity equal to the specific power of friction during braking with a uniform retardation. The evolution and distribution in depth from a surface ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 715-726, 2011]]>The empirical and semi-empirical models available in literature for the estimation of hole-diameter in thin metallic plates by the strike of spherical projectile are mostly valid for the data for which these have been developed. This may be partly attributed to the form of the model employed for their development. The behavioural constraints and the limiting conditions are ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 907-924, 2011]]>We discuss the stability of solutions to a class of nonlinear third-order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, ∞). These results complement the available existence and uniqueness results in the literature. We find that, in general, there is one stable solution ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1087-1091, 2011]]>Finite Element Method based on Rayleigh–Ritz energy formulation is applied to obtain the elastic behavior of functionally graded thick truncated cone. The cone has finite length, and it is subjected to axisymmetric hydrostatic internal pressure. The inner surface of the cone is pure ceramic and the outer surface is pure metal, and the material composition varying continuously along its ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1063-1074, 2011]]>Orthotropic circular annular plates have a lot of applications in engineering such as space structures and rotary machines. In this paper, frequency equations for the in-plane vibration of the orthotropic circular annular plate for general boundary conditions were derived. To obtain the frequency equation, first the equation of motion for the circular annular plate in the cylindrical coordinate is ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1307-1322, 2011]]>Many modern theories for “complex” materials rely on the construction of specific potentials for inner actions by resorting to mechanistic/corpuscular descriptions of the matter at different length scales. Techniques allowing the dialogue among different material scales on the basis of energetic equivalence criteria play a central role in mechanics of materials. These multiscale techniques can be seen as originated ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-12, 2011]]>The global bifurcations in mode of a nonlinear forced dynamics of suspended cables are investigated with the case of the 1:1 internal resonance. After determining the equations of motion in a suitable form, the energy phase method proposed by Haller and Wiggins is employed to show the existence of the Silnikov-type multi-pulse orbits homoclinic to certain invariant ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1231-1252, 2011]]>In the present work, vibration characteristics of thin functionally graded cylindrical shells are studied under the influence of various boundary conditions. Fabrication of FGM cylindrical shell is carried out by using exponential volume fraction law. Strain- and curvature-displacements relationships are taken from Love’s thin shell theory. The frequency equation in the form of eigenvalue problem is obtained by adapting ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 999-1016, 2011]]>This paper investigates the impact of the inflow conditions on simulations of a round jet discharging from a wall into a large space. The fluid dynamic characteristics of a round jet are studied numerically. A numerical method based on the control volume approach with collocated grid arrangement is employed. The $${k-\varepsilon}$$ model is utilized to approximate turbulent stresses by ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-15, 2011]]>In terrestrial locomotion, the soft-tissue masses of the body undergo damped oscillations following leg impacts with the ground. Appropriate biomechanical models, therefore, describe gross soft-tissue dynamics by “wobbling masses”. We calculated mechanical energy balances of shank and thigh wobbling masses of the stance leg for the first 90 ms after touch-down in human heel-toe running. Thereto, we ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 887-897, 2011]]>The moment Lyapunov exponents and the Lyapunov exponent of a two-dimensional system under bounded noise excitation are studied in this paper. The method regular perturbation is applied to obtain the small noise expansion of the pth moment Lyapunov exponent and the Lyapunov exponent. The results are applied to the study of the almost-sure and moment stability of the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 403-417, 2011]]>As a preliminary study to more complex situations of interest in small-scale technology, this paper envisages the elementary propagation properties of elastic waves in one-spatial dimension when some of the properties (mass density, elasticity) may vary suddenly in space or in time, the second case being of course more original. Combination of the two may be of even ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 925-942, 2011]]>In this paper, the problem of two equal coplanar cracks with allowance for the crack faces contact interaction was investigated. The problem of the cracks located in homogeneous, isotropic, and linearly elastic solid subjected to normally incident tension–compression wave is solved by the boundary integral equations method. The influence of the distance between two cracks on the stress intensity ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1215-1230, 2011]]>A new mathematical model has been developed to predict the behaviour of a stranded cable assembly under the influence of interfacial radial contact forces and radial contraction of the core. A single layered cable assembly with six helical wires and a straight cylindrical core, all made with the same material, Steel has been chosen to explain this phenomenon when the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 303-317, 2011]]>In this paper, we consider thin rods modeled by the direct approach, in which the rod-like body is regarded as a one-dimensional continuum (i.e., a deformable curve) with a triad of rigidly rotating orthonormal vectors attached to each material point. In this context, we present a model for porous thermoelastic curved rods, having natural twisting and arbitrary ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-27, 2011]]>For the direct incorporation of micromechanical information into macroscopic boundary value problems, the FE2-method provides a suitable numerical framework. Here, an additional microscopic boundary value problem, based on evaluations of representative volume elements (RVEs), is attached to each Gauss point of the discretized macrostructure. However, for real random heterogeneous microstructures the choice of a “large” RVE with a huge ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 975-997, 2011]]>In this contribution, the deformational and configurational mechanics of (elastic) discrete atomistic systems in relation to their continuum counterparts are considered for the quasi-static case. Thereby, we firstly investigate the basic unconstrained case in the sense of lattice statics as a reference. Based on these results, we consider two Cauchy-Born-type constraints that (locally) describe the change of ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 669-684, 2011]]>Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-1, 2011]]>

The aim of the present work is to establish a reciprocal principle of Betti type in the context of linear theory of two-temperature generalized thermoelasticity (Youssef in IMA J Appl Math 71:383–390, 2006; Arch Appl Mech 75:553–565, 2006) for homogeneous and isotropic body. Generalizations of the theorems of Somigliana and Green to two-temperature generalized ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1031-1040, 2011]]>Requirements for current trains to be increasingly available have created the need to develop systems that can predict the quality of both trains and infrastructure components. The paper presents a new approach to the detection of rail truck irregularities, based on the measurements of bearing box acceleration during the operation of rail vehicles. The proposed procedure is based on an ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-14, 2011]]>Based on the continuum mechanics and the bifurcation theory, a three-dimensional theoretical model for a soft thin viscoelastic film bonded to a rigid substrate is investigated. Considering the effect of interfacial slippage and the competition among van der Waals interaction potential energy, strain energy, and surface energy, a set of three-dimensional governing equations of the spontaneous instability is ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1075-1085, 2011]]>We present a partition of unity-enriched element-free Galerkin method for thermoelastic two-dimensional crack problems. Therefore, the displacement field is enriched by the step enrichment. In the vicinity of the crack tip, the asymptotic branch enrichment functions commonly used in linear elastic fracture mechanics are employed. The same enrichment strategy is employed for the temperature field. Level set ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-13, 2011]]>Three commonly used methods to determine the principal moments of inertia of a plane area and their directions are based on: (i) the stationarity condition for the axial moment of inertia, (ii) the eigenvalue analysis, and (iii) Mohr’s circle. In this paper we provide two new derivations, which are based on: (a) the matrix diagonalization and the invariant tensor properties, ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 111-122, 2011]]>The study of thermal mismatch induced stresses and their role in mechanical failure is one relevant topic to composite materials and electronic packages. An understanding of the nature of the interfacial stresses under different temperature conditions is necessary in order to minimize or eliminate the risk of mechanical failure. An accurate estimate of thermal stresses in the interfaces plays an ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 561-568, 2011]]>In this paper, we have made Wiener-Hopf analysis of an acoustic plane wave by a semi-infinite hard duct that is placed symmetrically inside an infinite soft/hard duct. The method of solution is integral transform and Wiener-Hopf technique. The imposition of boundary conditions result in a 2 × 2 matrix Wiener-Hopf equation associated with a new canonical ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 701-713, 2011]]>This paper offers a three-dimensional elasticity-based variational Ritz procedure to examine the natural vibrations of an elastic hollow torus with annular cross-section. The associated energy functional minimized in the Ritz procedure is formulated using toroidal coordinates $$({r,\theta , \varphi})$$ comprised of the usual polar coordinates (r, θ) originating at each circular cross-sectional center and a circumferential ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 473-487, 2011]]>The present paper solves the problem of sliding ellipsoidal/elliptical inclusion with the Eshelby property. Results show that the sliding ellipsoidal/elliptical inclusions can have uniform eigenstresses if the prescribed uniform eigenstrains fulfill certain prerequisites. Solutions and prerequisites are obtained for ellipsoidal and elliptical inclusions, respectively. It is shown that the eligible uniform eigenstrains inducing uniform eigenstresses can be shear ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 19-35, 2011]]>A general form of temporal strength conditions under variable creep loading is employed to formulate several new phenomenological accumulation rules based on the constant-loading durability diagram. Unlike the well-known Robinson rule of linear accumulation of partial life-times, the new rules allow to describe the life-time sensitivity to the load sequence observed in experiments. Comparison of the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-18, 2011]]>The boundary layer problem of a power-law fluid flow with fluid injection on a wedge whose surface is moving with a constant velocity in the opposite direction to that of the uniform mainstream is analyzed. The free stream velocity, the injection velocity at the surface, moving velocity of the wedge surface, the wedge angle and the power law index ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 65-76, 2011]]>A closed-form solution for elastic field of an elliptical inhomogeneity with polynomial eigenstrains in orthotropic media having complex roots is presented. The distribution of eigenstrains is assumed to be in the form of quadratic functions in Cartesian coordinates of the points of the inhomogeneity. Elastic energy of inhomogeneity–matrix system is expressed in terms of 18 real unknown coefficients ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 157-170, 2011]]>Block brakes have been used to brake railway vehicles for approximately 200 years. During the last 40 years, disk brakes have replaced the block brakes at passenger cars but block brakes are still used for all freight wagons. One problem of block brakes is that they show an enormous tendency to squeal. Although the block brake is a very common and old ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 503-511, 2011]]>Study of effective behavior of heterogeneous materials, starting from the properties of the microstructure, represents a critical step in the design and modeling of new materials. Within this framework, the aim of this work is to introduce a general internal variables approach for scale transition problem in linear viscoelastic case. A new integral formulation is established, based on the complete ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 345-359, 2011]]>In this paper, the two-dimensional steady slip flow in microchannels is investigated. Research on micro flow, especially on micro slip flow, is very important for designing and optimizing the micro electromechanical system (MEMS). The Navier-Stokes equations for two-dimensional steady slip flow in microchannels are reduced to a nonlinear third-order differential equation by using similarity solution. The ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-9, 2011]]>This present work examines the stability and nonlinear responses of a spindle milling system supported by ball bearings. A shaft finite element based on Timoshenko beam theory is employed to model the spindle, and modal reduction method is therefore adopted for saving the numerical calculating time. The issues of evaluating the effects of the ball bearing Hertz contact stiffness are ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1141-1151, 2011]]>The object of this research aims at the hydraulic generator unit rotor system. According to fault problems of the generator rotor local rubbing caused by the parallel misalignment and mass eccentricity, a dynamic model for the rotor system coupled with misalignment and rub-impact is established. The dynamic behaviors of this system are investigated using numerical integral method, as the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 829-838, 2011]]>The single-inverted pendulum (SIP) model is still the paradigm describing dynamics and control of quiet human stance in the sagittal plane. We used two methods to verify this paradigm. First, in an experimental approach we acquired kinematic data of both legs of ten subjects at high spatial resolution while quietly standing on two force platforms. We calculated all leg ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 283-302, 2011]]>In this paper, the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized Maxwell fluid within an infinite circular cylinder are determined by means of the Laplace and finite Hankel transforms. Initially, the fluid is at rest, and the motion is produced by the rotation of the cylinder about its axis with a unsteady ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-8, 2011]]>The paper presents a method for deriving interface conditions simulating the influence of a thin wedge in a multi-wedge system with smooth contacts. It consists in successive (i) employing the Mellin’s transform, (ii) separation of the symmetric and anti-symmetric parts of a solution, (iii) distinguishing terms tending to infinity, when the wedge angle tends to zero, (iv) appropriate ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1203-1214, 2011]]>Exact static analysis of 2-2 cement-based piezoelectric composites is presented based on the theory of piezo-elasticity in this paper. Displacement method was used, and the solutions of four different kinds of piezoelectric composites under load were obtained. The effects of polarization direction of piezoelectric layers and material parameters on the solutions are discussed. The relationship between the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 839-851, 2011]]>Thermoelastic buckling behavior of thick rectangular plate made of functionally graded materials is investigated in this article. The material properties of the plate are assumed to vary continuously through the thickness of the plate according to a power-law distribution. Three types of thermal loading as uniform temperature raise, nonlinear and linear temperature distribution through the thickness of plate are ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-18, 2011]]>The fracture behavior of a functionally graded layered structure (FGLS) with an interface crack under thermal loading is investigated. Considering new boundary conditions, it is assumed that interface crack is partly insulated, and the temperature drop across the crack surfaces is the result of the thermal resistance due to the heat conduction through the crack region. The problem is formulated ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 943-955, 2011]]>In this study, the influence of nonuniformity of eccentricity of stringers on the general axial buckling load of stiffened laminated cylindrical shells with simply supported end conditions is investigated. The critical loads are calculated using Love’s First-order Shear Deformation Theory and solved using the Rayleigh-Ritz procedure. The effects of the shell length-to-radius ratio, shell thickness-to-...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 7, pp. 875-886, 2011]]>In this research, the general axial and radial buckling optimization of ring-stiffened cylindrical shells is implemented by the genetic algorithm (GA). The stiffened shell is subjected to four constraints including the fundamental frequency, the structural weight, the axial buckling load, and the radial buckling load. In addition, six design variables including shell thickness, number of stiffeners, stiffeners width and ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-11, 2011]]>In this paper, the effect of sensitivity of randomness in system parameters on the nonlinear transverse central deflection response of laminated composite plates subjected to transverse uniform lateral pressure and thermal loading is examined. System parameters such as the lamina material properties, expansion of thermal coefficients, lamina plate thickness and lateral load are modelled as basic random variables. A higher ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 6, pp. 727-743, 2011]]>The solutions of a 3-D rectangular permeable crack and two 3-D rectangular permeable cracks in a piezoelectric material were investigated by using the generalized Almansi’s theorem and the Schmidt method. The problem was formulated through Fourier transform into three pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. To ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 641-668, 2011]]>A higher-order zig-zag theory for laminated composite and sandwich structures is proposed. The proposed theory satisfies the interlaminar continuity conditions and free surface conditions of transverse shear stresses. Moreover, the number of unknown variables involved in present model is independent of the number of layers. Compared to the zig-zag theory available in literature, the merit of present ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 185-197, 2011]]>The present contribution deals with the experimental characterisation of silicone specimens and the adaptation of well-known standard material models of the finite hyperelasticity to the experimental data. Therefore, uniaxial tension tests as well as biaxial tension tests are performed. The focus of the work lies on the detailed description of a new experimental set-up and the adaptation of ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-17, 2011]]>New analytical solutions for axisymmetric deformation of a viscous hollow circular cylinder on a rigid fibre are given. One of the solutions generalizes the famous Prandtl’s solution for compression of a rigid perfectly plastic layer between two rough, parallel plates and the other is a modification of Spencer’s solution for compression of an axisymmetric rigid perfectly plastic layer on a ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 437-449, 2011]]>Based on a seven-degree-of-freedom shear deformable beam model, a geometrical nonlinear analysis of thin-walled composite beams with arbitrary lay-ups under various types of loads is presented. This model accounts for all the structural coupling coming from both material anisotropy and geometric nonlinearity. The general nonlinear governing equations are derived and solved by means of an ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 4, pp. 419-435, 2011]]>Energy flow analysis (EFA) method is a vibration simulation tool developed for structures under single-frequency excitation. The work described in this paper aims to extend the application of EFA to situations where structures are subject to random broadband excitations. The proposed energy formulation for beam structures under random excitations, which is based on conventional EFA, is referred to as ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 1, pp. 37-50, 2011]]>Based on shear-deformable beam theory, free vibration of thin-walled composite Timoshenko beams with arbitrary layups under a constant axial force is presented. This model accounts for all the structural coupling coming from material anisotropy. Governing equations for flexural-torsional-shearing coupled vibrations are derived from Hamilton’s principle. The resulting coupling is referred to as sixfold coupled vibrations. A ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1165-1180, 2011]]>Nonlinear bending behavior of 3D braided rectangular plates subjected to transverse loads is investigated. A new micro-macro-mechanical model of unit cells is suggested. In this model, a 3D braided composite may be considered as a cell system and the geometry of each cell is deeply dependent on its position in the cross-section of the plate. The material ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 585-603, 2011]]>A new concept of a piezoelectric ceramic/shape memory alloy (SMA) composite is proposed with aim of using this as a new actuator material with fast actuation speed and large strain. To prove the new concept, a new model is constructed based on Eshelby formulation where linear piezoelectric constitutive equations and bi-linear superelastic equations of SMA are used. The ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 5, pp. 629-640, 2011]]>This paper provides an explanation for the authors’ recent conclusions as why the M-integral could be negative for a nano-void (hole) in elastic materials under tensile, bi-axes tensile, and bi-axes tensile-compress loadings (Hui T, Chen YH, in ASME J Appl Mech 77:021019-1-9, 2009; 024505-1-5, 2009). Attention is focused on whether ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 9, pp. 1323-1331, 2011]]>An analytical approach is used to investigate the effects of covering layer thickness on the propagation behavior of Love waves in functionally graded piezoelectric materials (FGPMs) covered with a dielectric layer. The piezoelectric substrate is polarized in the direction perpendicular to the wave propagation plane, and its material parameters change continuously along the thickness direction. The dispersion equations for the ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-13, 2011]]>The mode III crack problem in a medium possessing coupled electro-magneto-elastic is considered. Two asymmetrical edge cracks emanate from an elliptical hole. Combined stress, electric and magnetic loads are considered. The elliptical hole and cracks are assumed to be either magneto-electrically impermeable or permeable. The closed-form solution for stress, electric and magnetic intensity factors are derived ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, pp. 1-14, 2011]]>An acoustic levitation system is presented which can levitate planar objects that are much larger than the wavelength of the applied acoustic wave. It uses standing wave field formed by the sound radiator and the levitated planar object. An experimental setup is developed, by which a compact disc is successfully levitated at frequency of 19 kHz and input power of 40 ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 2, pp. 123-139, 2011]]>A theoretical model for geometrically nonlinear vibration analysis of thermo-piezoelectrically actuated circular plates made of functionally grade material (FGM) is presented based on Kirchhoff’s–Love hypothesis with von-Karman type geometrical large nonlinear deformations. The material properties of the FG core plate are assumed to be graded in the thickness direction according to the power-law distribution in terms ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 3, pp. 361-383, 2011]]>An analytical approximate method for strongly nonlinear damped oscillators is proposed. By introducing phase and amplitude of oscillation as well as a bookkeeping parameter, we rewrite the governing equation into a partial differential equation with solution being a periodic function of the phase. Based on combination of the Newton’s method with the harmonic balance method, the partial differential equation is ...

Journal: Archive of Applied Mechanics - ARCH APPL MECH, vol. 81, no. 8, pp. 1017-1030, 2011]]>