Nonlinear quasistatic problems of gradient type in inelastic deformations theory |
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| Authors: | Przemys?aw Kamiński |
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| Affiliation: | Warsaw University of Technology, Faculty of Mathematics and Information Sciences, pl. Politechniki 1, Warsaw, Poland |
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| Abstract: | ![]()
In this paper we study nonlinear quasistatic problems from inelastic deformations theory. Only strictly monotone, gradient-type constitutive equations are considered. We prove existence for both coercive and non-coercive models, using energy estimates and Young measures. For non-coercive models we use the L2 self-controlling property. |
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| Keywords: | Partial differential equations Mechanics of deformable solids Nonlinear constitutive equations Young measures Yosida approximation |
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