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Thermal Expansion Coefficients of Composite Materials Based on Energy Principles

Thermal Expansion Coefficients of Composite Materials Based on Energy Principles,10.1177/002199836800200308,Journal of Composite Materials,R. A. Schap

Thermal Expansion Coefficients of Composite Materials Based on Energy Principles   (Citations: 192)
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Bounds on effective thermal expansion coefficients of isotropic and anisotropic composite materials consisting of isotropic phases are derived by employing extremum principles of thermoelasticity. Inequalities between certain approximate and exact forms of the potential and complementary energy functionals are first estab lished. These inequalities are then used in conjunction with a new method for minimizing the difference between upper and lower bounds in order to derive volumetric and linear thermal expansion coefficients. Application is made to two- and three-phase isotropic composites and a fiber-reinforced material. It is found for some important cases that the solutions are exact, and take a very simple form. We also show conditions under which the rule-of-mixtures and Turner's equation can be used for thermal expansion coeffi cients. Finally, simple methods for extending all results to viscoelastic composites are indicated.
Journal: Journal of Composite Materials - J COMPOS MATER , vol. 2, no. 3, pp. 380-404, 1968
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    • ...The thermal forces, moments and higher order moments caused by temperature change ΔT are defined by and where in which α11 and α22 are the thermal expansion coefficients measured in the fiber and transverse directions, respectively, and defined by Shapery [12] where α f1, α f2 and α m are thermal expansion coefficients of the fiber and matrix respectively...

    Zhi-Min Liet al. Non-linear buckling and postbuckling behavior of 3D braided cylindrica...

    • ...The thermomechanical behavior of FGMs is strongly dependent on the accurate estimation of their modulus of elasticity and the coefficient of thermal expansion[10, 11, 37-42]...

    M. Didem Bagciet al. Thermal Residual Stresses in One-Directional Functionally Graded Plate...

    • ...At the same time disagreements can be observed in the predicted transverse CTE’s determined using the Schapery Equation [21] and the Eshelby/Mori-Tanaki [15-16] approach...

    B. Burkset al. Failure prediction analysis of an ACCC conductor subjected to thermal ...

    • ...For an arbitrary phase geometry and composites with spherical inclusions, Turner [52], Kerner [22], Levin [25], Schapery [41], Fahmy and Ragai [13 ]a nd Rosen and Hashin [39] have derived equations for effective CTEs...
    • ...For the isotropic two phase composites, the calculated CTE reduced to the bounds of Schapery [41], which was formulated using thermo-elasticity equations...

    Kamran A. Khanet al. Effective thermal properties of viscoelastic composites having field-d...

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