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A Saint-Venant principle for shear band localization
被引：0
作者：
C. O. Horgan
W. E. Olmstead
机构：
[1] Department of Civil Engineering,
[2] University of Virginia,undefined
[3] Department of Engineering Sciences and Applied
Mathematics,undefined
[4] Northwestern University,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP
|
2003年
/
54卷
关键词：
74C20;
74G50;
Shear band localization;
Spatial decay of temperature;
Second-order nonlinear parabolic partial differential equation;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：807 / 814
页数：7
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