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Shear deformable shell elements for large strains and rotations

Shear deformable shell elements for large strains and rotations,10.1002/(SICI)1097-0207(19971215)40:23<4427::AID-NME268>3.0.CO;2-9,International Journ

Shear deformable shell elements for large strains and rotations   (Citations: 93)
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    • ...These elements allow for a linear strain field in thickness direction, which avoids the effect of Poisson-thickness locking that appears in conventional volume elements with a high aspect ratio in spatial dimensions, i.e., ‘slender’ volume elements [7]...

    MV Cid Alfaroet al. Multiscale Modelling of the Failure Behaviour of Fibre-Reinforced Lami...

    • ...These elements allow for a linear strain field in thickness direction, which avoids the effect of Poisson-thickness locking that appears in conventional volume elements with a high aspect ratio in spatial dimensions, i.e., ‘slender’ volume elements [28]...

    Marcela V. Cid Alfaroet al. Analysis of fracture and delamination in laminates using 3D numerical ...

    • ...In particular, the EAS approach [38] has received major attention in the literature; see for example, [1,8,15,34,41,43 ]. Though the EAS elements are based on Hu–Washizu functional, due to the orthogonality condition and the static condensation of enhancing variables, the eventual formulation becomes a “softened” displacement model [9]...
    • ...Such approach has been successfullyusedintheliterature,seeforexample[1,7,8].In addition such combination has been also effectively implemented in solid-shell elements, accounting also for composite structures, see for instance [42]...

    Wojciech Witkowski. 4Node combined shell element with semi-EAS-ANS strain interpolations i...

    • ...Advances in finite element and composite plate/shell theory has made it possible to derive ESL models which exhibits first order shear deformation response whilst allowing for thickness stretching of the composite laminate, see e.g. Bischoff and Ramm (1997)...

    Leon Johansenet al. Optimization of laminated composite structures using delamination crit...

    • ...To guarantee that parasitic strain distribution is zero, the nodal values are used instead of sampling points [15]...
    • ...The strain component Ezz can also be interpolated with the use of bilinear shape functions, which can be used to avoid the curvature locking (also called trapezoidal locking), see for example [15, 16]...
    • ...In papers [23, 15], the ANS technique is based on strains at the nodal values instead of strains at the Gaussian quadrature points...
    • ...This is used because of the fact that parasitic strains are zero at the nodes [15]...
    • ...This locking effect is also mentioned to be problematic in other continuum plate/shell elements with coarse meshes and initially curved elements in [15]...

    Marko K. Matikainenet al. COMPARISON OF TWO MODERATELY THICK PLATE ELEMENTS BASED ON THE ABSOLUT...

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