The localization of shear bands via the maximum principle

C. O. Horgan*, W Edward Olmstead

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationProceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications
EditorsG.S. Ladde, N.G. Medhin, M. Sambandham
Pages133-137
Number of pages5
StatePublished - Dec 1 2003
EventProceedings of the 4th International Conference on Dynamic Systems and Applications - Atlanta, GA, United States
Duration: May 21 2003May 24 2003

Other

OtherProceedings of the 4th International Conference on Dynamic Systems and Applications
CountryUnited States
CityAtlanta, GA
Period5/21/035/24/03

ASJC Scopus subject areas

  • Engineering(all)

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