ILL-POSEDNESS AT THE BOUNDARY FOR ELASTIC SOLIDS SLIDING UNDER COULOMB-FRICTION

被引:36
作者
RENARDY, M [1 ]
机构
[1] VIRGINIA POLYTECH INST & STATE UNIV,ICAM,BLACKSBURG,VA 24061
关键词
SLIDING FRICTION; AGMON CONDITION; ILL-POSEDNESS;
D O I
10.1007/BF00041691
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider an incompressible neo-Hookean elastic solid sliding on a rigid surface under the influence of Coulomb friction. It is shown that ill-posedness at the boundary due to failure of Agmon's condition can occur. If the friction coefficient is greater than one, this is the case even in the limit of linear elasticity. The effect of a dependence of the friction force on the sliding velocity is also considered.
引用
收藏
页码:281 / 287
页数:7
相关论文
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ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1989, 107 (02) :105-125