Dynamic analysis of elastoplastic models considering combined formulations of the time-domain boundary element method

In this work, the combination of the time-domain boundary element method with other numerical procedures is discussed, in order to analyze dynamic elastoplastic models. Since the computation of stress components taking into account time-dependent fundamental solutions is quite elaborate and computationally demanding, this work reviews this procedure considering combined methodologies to evaluate the stress fields. In this context, coupled and hybrid formulations are discussed here. Taking into account coupling procedures, standard, iterative and direct coupling techniques are presented, being the time-domain boundary element method coupled with the domain boundary element method and with the finite element method. For the hybrid formulation, some concepts of the finite element method are introduced into the time-domain boundary element method, avoiding in this way most of its inconveniences considering the dynamic analysis of inelastic models. At the end of the paper, numerical examples are presented, illustrating the accuracy and potentialities of the discussed methodologies.