Thermodynamics of rate independent processes in viscous solids at small strains

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050671" target="_blank" >RIV/00216208:11320/10:10050671 - isvavai.cz</a>

Alternative codes found

RIV/61388998:_____/10:00340532

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Thermodynamics of rate independent processes in viscous solids at small strains

Original language description

So-called generalized standard solids (of the Halphen-Nguyen type) involving also activated 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. The stored energy is considered as temperature dependent and then the thermodynamically consistent system is completed with the heat-transfer equation. Existence of a suitably defined ``energetic'' solution is proved by a nontrivial combination of theory of rate-independent processes by Mielke at al. adapted for coupling with viscous/inertial effects and of sophisticated estimates by Boccardo and Gallouet of the temperature gradient of the heat equation with L1-data. Illustrative examples are presented, too.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>R - Projekt Ramcoveho programu EK

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

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Volume of the periodical

42

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

42

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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