We study a relaxed formulation of the quasistatic evolution problem in the context of small strain associative elastoplasticity with softening. The relaxation takes place in spaces of generalized Young measures. The notion of solution is characterized by the following properties: global stability at each time and energy balance on each time interval. An example developed in detail compares the solutions obtained by this method with the ones provided by a vanishing viscosity approximation, and shows that only the latter capture a decreasing branch in the stress-strain response.

Globally stable quasistatic evolution in plasticity with softening

De Simone, Antonio;
2008

Abstract

We study a relaxed formulation of the quasistatic evolution problem in the context of small strain associative elastoplasticity with softening. The relaxation takes place in spaces of generalized Young measures. The notion of solution is characterized by the following properties: global stability at each time and energy balance on each time interval. An example developed in detail compares the solutions obtained by this method with the ones provided by a vanishing viscosity approximation, and shows that only the latter capture a decreasing branch in the stress-strain response.
2008
Settore MAT/05 - Analisi Matematica
Brittle fracture; fracture; complex crack; incremental problems; plasticity with softening; Prandtl-Reuss plasticity; quasistatic evolution; rate independent processes; relaxation; shear bands; young measures
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/84226
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