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Rate-independent processes in viscous solids at small strains
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SYSNO ASEP 0323654 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Rate-independent processes in viscous solids at small strains Title Rychlostně nezávislé procesy ve vazkých pevných látkách při malých přetvořeních Author(s) Roubíček, Tomáš (UT-L) RID, ORCID Source Title Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214
Roč. 32, č. 7 (2009), s. 825-862Number of pages 38 s. Publication form www - www Language eng - English Country GB - United Kingdom Keywords energetic solution ; weak solution ; doubly nonlinear variational inequalities Subject RIV BM - Solid Matter Physics ; Magnetism R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) 1M06031 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z20760514 - UT-L (2005-2011) UT WOS 000265361000006 DOI 10.1002/mma.1069 Annotation 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2009
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