Rate-independent processes in viscous solids at small strains

0323654 - ÚT 2009 RIV GB eng J - Journal Article
Roubíček, Tomáš
Rate-independent processes in viscous solids at small strains.
[Rychlostně nezávislé procesy ve vazkých pevných látkách při malých přetvořeních.]
Mathematical Methods in the Applied Sciences. Roč. 32, č. 7 (2009), s. 825-862. ISSN 0170-4214. E-ISSN 1099-1476
R&D Projects: GA AV ČR IAA100750802; GA MŠMT LC06052; GA MŠMT(CZ) 1M06031
Institutional research plan: CEZ:AV0Z20760514
Keywords : energetic solution * weak solution * doubly nonlinear variational inequalities
Subject RIV: BM - Solid Matter Physics ; Magnetism
Impact factor: 0.808, year: 2009
http://www3.interscience.wiley.com/journal/121393896/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.

Článek se zabývá rychlostně nezávislými procesy ve vazkých pevných látkách při malých přetvořeních.
Permanent Link: http://hdl.handle.net/11104/0171551