Publication at Faculty of Mathematics and Physics |
2009
Abstract
The so-called generalized standard solids (of Halphen-Nguyen type) involving also activated typically rate-independent processes such as plasticity, damage, or phase transformations are described as a system of a momentum equilibrium equation and a variational inequality for inelastic evolution of internal-parameter variables. Various definitions of Solutions are examined, especially from the viewpoint of the ability to combine rate-independent processes and other rate-dependent phenomena, as viscosity or also inertia.
If those rate-dependent phenomena are Suppressed, then the system becomes fully rate-independent. Illustrative examples are presented as well.
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