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Demonstratio Mathematica

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Volume 47, Issue 3


Solutions to the Quasistatic Problem from the theory of Inelastic Deformations with Linear Growth Condition

Łukasz Glen
Published Online: 2014-09-02 | DOI: https://doi.org/10.2478/dema-2014-0061


This paper refers to standard models in the theory of inelastic deformations. We assume that non-linear inelastic constitutive function is of monotone type, that the growth condition holds and that the model is quasistatic. Initial, generic problem is transformed into an evolution equation in a maximal monotone field. Then we find solutions with very low regularity requirements of the forces acting on a body

Keywords: and phrases: inelastic deformation theory; Yosida approximation


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About the article

Received: 2013-03-11

Revised: 2013-09-02

Published Online: 2014-09-02

Published in Print: 2014-07-01

Citation Information: Demonstratio Mathematica, Volume 47, Issue 3, Pages 763–775, ISSN (Online) 2391-4661, ISSN (Print) 0420-1213, DOI: https://doi.org/10.2478/dema-2014-0061.

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© by Łukasz Glen. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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