Abstract
A boundary element/finite element method (BEM/FEM) hybrid scheme in the time domain is developed for the dynamic analysis of elastoplastic structures under plane strain or plane stress conditions. The FEM employs eight-noded isoparametric quadrilateral elements and discretizes the boundary as well as the interior of that portion of the structure, which is expected to become plastic. The BEM employs three-noded qudratic boundary line elements and discretizes only the boundary portion of the structure, which is expected to stay elastic during the whole time history. The FEM part can take into account Tresca, Von Mises, Drucker-Prager and Mohr-Coulomb isotropic hardening plasticity models. The BEM and FEM domains of the structure are connected at their interface through equilibrium and compatibility. The applied loads can have any transient time variation. The solution procedure follows the step-by-step implicit time integration algorithm of Newmark and employs iterations at every time step. Numerical examples are presented to illustrate the proposed scheme and assess its advantages.
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