Sl. Weissman et M. Jamjian, 2-DIMENSIONAL ELASTOPLASTICITY - APPROXIMATION BY MIXED FINITE-ELEMENTS, International journal for numerical methods in engineering, 36(21), 1993, pp. 3703-3727
Two-dimensional elastoplastic problems are used to assess the performa
nce of a family of mixed finite elements in the non-linear regime. In
particular, four-node bilinear quadrilateral elements that exhibit hig
h accuracy in coarse meshes are used to simulate plane stress, plane s
train, axisymmetric and (shear-deformable) plate bending problems. The
excellent performance of these elements is demonstrated with a number
of discriminating examples selected from the literature. In addition,
agreement is observed in the limit load predicted by the axisymmetric
solid and plate bending elements.