A Saint-Venant principle for shear band localization

被引：2

作者：

Horgan, CO ^{[1
]}

Olmstead, WE

机构：

[1] Univ Virginia, Dept Civil Engn, Charlottesville, VA 22904 USA

[2] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2003年 / 54卷 / 05期

关键词：

shear band localization; spatial decay of temperature; second-order nonlinear parabolic partial differential equations;

D O I：

10.1007/s00033-003-3202-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A type of Saint-Venant principle is derived for a two-dimensional model of shear band formation in thermoviscoplastic solids. To establish that the thermal energy generated during the formation process remains highly localized, a spatially decaying upper bound on the temperature is derived. It is found that the temperature bound decays exponentially along the direction perpendicular to the band, with a rate that decreases in time. The result is established by using maximum principles for second-order nonlinear parabolic partial differential equations.

引用

页码：807 / 814

页数：8

共 20 条

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