Nonlinear quasistatic problems of gradient type in inelastic deformations theory. (English) Zbl 1178.35360
Author’s abstract: 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.
Reviewer: Rudolf Kodnár (Bratislava)
MSC:
| 35Q70 | PDEs in connection with mechanics of particles and systems of particles |
| 74B20 | Nonlinear elasticity |
Keywords:
partial differential equations; mechanics of deformable solids; nonlinear constitutive equations; Young measures; Yosida approximationReferences:
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