Wednesday, 13 October 2004 - 2:15 PM

This presentation is part of : Rajagopal Symposium

A variational multiscale method for computational inelasticity

Arif Masud and Kaiming Xia. University of Illinois at Chicago, Department of Civil & Materials Engineering (M/C 246), 842 W. Taylor St., Chicago, IL 60607

A variational multiscale framework is presented for developing stabilized finite element formulations for application in nonlinear solid mechanics. This framework allows embedding of the fine mathematical scales of the problem directly into the formulation. The resulting formulation allows arbitrary combinations of interpolation functions for the displacement and stress fields, and thus yields a family of stable and convergent elements. The proposed method is free of volumetric locking effects and is applied to the modeling of polymers in the entire range of deformation. A finite strain thermo-mechanical model for semicrystalline polymers and polycarbonates is presented. This constitutive model is then integrated in the multi-scale finite element formulation. Numerical tests of the performance of the elements are presented and some interesting numerical simulations with traveling solid-solid interphase boundaries are shown.


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