Transient/pseudo-transient finite element small/large deformation analysis of two-dimensional problems

Abstract

A unified approach is presented for the static and transient linear and geometrically non-linear analyses of two-dimensional problems (plane stress/strain and axisymmetric). A finite element idealization with four-, eight- and nine-noded isoparametric quadrilateral elements is used for space discretization. An explicit central difference time-marching scheme is employed for time integration of the resulting discrete ordinary differential equations. Results of several numerical examples are presented and compared with the available data. A comparative study of the performance of various elements with different damping factors is also presented.