Quasistatic evolution of damage in an elastic-viscoplastic material

The mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which re...

Full description

Bibliographic Details
Main Author:	Kenneth Kuttler
Format:	Article
Language:	English
Published:	Texas State University 2005-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	Existence and uniqueness damage comparison theorems elastic viscoplastic materials.
Online Access:	http://ejde.math.txstate.edu/Volumes/2005/147/abstr.html

id	doaj-bed1a12d674c42a7939e29aecfed94a3
record_format	Article
spelling	doaj-bed1a12d674c42a7939e29aecfed94a32020-11-24T22:44:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-12-012005147125Quasistatic evolution of damage in an elastic-viscoplastic materialKenneth KuttlerThe mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which removes the necessity of including a subgradient term in the equation for damage.http://ejde.math.txstate.edu/Volumes/2005/147/abstr.htmlExistence and uniquenessdamagecomparison theoremselastic viscoplastic materials.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kenneth Kuttler
spellingShingle	Kenneth Kuttler Quasistatic evolution of damage in an elastic-viscoplastic material Electronic Journal of Differential Equations Existence and uniqueness damage comparison theorems elastic viscoplastic materials.
author_facet	Kenneth Kuttler
author_sort	Kenneth Kuttler
title	Quasistatic evolution of damage in an elastic-viscoplastic material
title_short	Quasistatic evolution of damage in an elastic-viscoplastic material
title_full	Quasistatic evolution of damage in an elastic-viscoplastic material
title_fullStr	Quasistatic evolution of damage in an elastic-viscoplastic material
title_full_unstemmed	Quasistatic evolution of damage in an elastic-viscoplastic material
title_sort	quasistatic evolution of damage in an elastic-viscoplastic material
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2005-12-01
description	The mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which removes the necessity of including a subgradient term in the equation for damage.
topic	Existence and uniqueness damage comparison theorems elastic viscoplastic materials.
url	http://ejde.math.txstate.edu/Volumes/2005/147/abstr.html
work_keys_str_mv	AT kennethkuttler quasistaticevolutionofdamageinanelasticviscoplasticmaterial
_version_	1725693160556855296

Quasistatic evolution of damage in an elastic-viscoplastic material

Similar Items