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...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/147/abstr.html |
| _version_ | 1818518343144964096 |
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| author | Kenneth Kuttler |
| author_facet | Kenneth Kuttler |
| author_sort | Kenneth Kuttler |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-11T01:09:00Z |
| format | Article |
| id | doaj.art-bed1a12d674c42a7939e29aecfed94a3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T01:09:00Z |
| publishDate | 2005-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-bed1a12d674c42a7939e29aecfed94a32022-12-22T01:26:06ZengTexas 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. |
| 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. |
| title | 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_short | Quasistatic evolution of damage in an elastic-viscoplastic material |
| title_sort | quasistatic evolution of damage in an elastic viscoplastic material |
| 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 |