Abstract
In this paper, we will mainly discuss the localization phenomena for dynamic problems in which the behaviour of the material is incompressible. The finite element method is applied to the mixed formulation for the spatial discretization and then a generalized Newmark scheme is used for the time domain discretization. A Newton-Raphson procedure is finally used to solve the nonlinear equations. This paper will focus on the performance of mixed u-π triangular and quadrilateral elements to study their efficiency in indicating localization for various mesh refinements. It is shown that if a correct approximation is used then both the uniform and nonuniform mesh refinements will converge to the correct answer and clearly indicate the localization phenomenon.
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