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Numerical relaxation of nonconvex functionals in elastoplasticity
Authors:U Hoppe  K Hackl
Abstract:We consider an exemplary problem of finite elastoplasticity which is formulated on the basis of an incremental variational principle. For a specific choice of material parameters the potential becomes non(quasi‐)convex. This gives rise to the occurrence of microstructures and the convergence of standard finite element approximations is not guaranteed, because the results become highly mesh‐dependent. This phenomena can be avoided by means of a relaxed potential calculated by partial rank‐one convexification.
Keywords:
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