Coercive approximation of viscoplasticity and plasticity

Article type: Research Article

Authors: Chełmiński, Krzysztof^{; ;}

Affiliations: Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, 64289 Darmstadt, Germany | Cardinal Stefan Wyszyński University, Warsaw, Poland E‐mail: [email protected]‐darmstadt.de

Note: [] Supported by Sonderforschungsbereich 298.

Abstract: This work generalizes the result from [9], and for all viscoplastic models of monotone‐gradient type presents a convergence result of the coercive approximation (see [4]) to a global solution of the original noncoercive problem. In the case of elasto‐perfect plasticity we approximate the model of Prandtl and Reuss by a sequence of the coercive Melan–Prager models.

Journal: Asymptotic Analysis, vol. 26, no. 2, pp. 105-133, 2001