Abstract
For a two dimensional model of shear band formation in thermoviscoplastic solids, it is shown that the thermal energy generated during the formation process remains highly localized. This result is established by obtaining a bound on the temperature that decays exponentially along the direction perpendicular to the band, with a rate that decreases in time. The bound is derived by using maximum principles for second-order nonlinear parabolic partial differential equations.
| Original language | English (US) |
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| Title of host publication | Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications |
| Editors | G.S. Ladde, N.G. Medhin, M. Sambandham |
| Pages | 133-137 |
| Number of pages | 5 |
| State | Published - Dec 1 2003 |
| Event | Proceedings of the 4th International Conference on Dynamic Systems and Applications - Atlanta, GA, United States Duration: May 21 2003 → May 24 2003 |
Other
| Other | Proceedings of the 4th International Conference on Dynamic Systems and Applications |
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| Country/Territory | United States |
| City | Atlanta, GA |
| Period | 5/21/03 → 5/24/03 |
ASJC Scopus subject areas
- Engineering(all)