Abstract

AbstractMixed finite element procedures with triangular and quadrilateral elements are evaluated and applied for nonlinear elastic and elastic–plastic analysis of some engineering problems. The elastic–plastic analysis involves implementation of von Mises, Drucker–Prager and Cap models. A number of special techniques such as symbolic programming, utilization of dihedral symmetry and the frontal solution are used to achieve computational economy. The procedure is also adopted for simulation of construction sequences in geomechanics such as excavation involving stress‐free surface. The proposed procedures are evaluated and verified with respect to closed‐form solutions, other finite element (displacement) procedures and field observations.

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