On Prandtl-Reuss Mixtures

Jens Frehse () and Josef Málek ()
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Jens Frehse: Rheinische Friedrich-Wilhelms-Universität Bonn, Institut für Angewandte Mathematik
Josef Málek: Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute

A chapter in Singular Phenomena and Scaling in Mathematical Models, 2014, pp 133-169 from Springer

Abstract: Abstract We study mathematical properties of the model that has been proposed to explain the phenomenon of hardening due to cyclic loading. The model considers two elastic plastic materials, soft and hard, that co-exist while the soft material can be transformed into the hard material. Regarding elastic responses we remain in a simplified framework of linearized elasticity. Incorporating tools such as variational inequalities, penalty approximations and Sobolev spaces, we prove the existence of weak solution to the corresponding boundary-value problem and investigate its uniqueness and regularity.

Keywords: Penalty Approximation; Variational Inequalities; Hard Materials; Roth Approximation; Parental Punishment (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00786-1_7

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DOI: 10.1007/978-3-319-00786-1_7

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