Nonlinear quasistatic problems of gradient type in inelastic deformations theory
| Autor: | Przemysław Kamiński |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Nonlinear constitutive equations
Partial differential equation Differential equation Applied Mathematics Deformation theory Constitutive equation Mathematical analysis Mathematics::Analysis of PDEs Yosida approximation Partial differential equations Mathematics::Numerical Analysis Nonlinear system Condensed Matter::Materials Science Monotone polygon Young measures Mechanics of deformable solids Quasistatic process Analysis Mathematics Young measure |
| Zdroj: | Journal of Mathematical Analysis and Applications. 357(1):284-299 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2009.04.013 |
| Popis: | 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 L 2 self-controlling property. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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