A geometric interpretation of frictional contact mechanics

被引:0
作者
Reese E. Jones
Panayiotis Papadopoulos
机构
[1] Sandia National Laboratories,Department of Mechanical Engineering
[2] University of California,undefined
来源
Zeitschrift für angewandte Mathematik und Physik ZAMP | 2006年 / 57卷
关键词
Contact; friction; work-conjugacy; Lagrange multipliers;
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摘要
The work-conjugacy of pressures and tangential tractions with so-called “gap”and “stick” constraints is deduced in order to delineate a rigid-plastic model of a frictional interface. This is accomplished by pursuing a differential-geometric view of the two surfaces that comprise the frictional interface. Given that contact is described in the current configuration, Lie derivatives are shown to be the natural means of establishing the work-conjugacy between tractions and constraints.
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页码:1025 / 1041
页数:16
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