A QUASISTATIC CONTACT PROBLEM WITH DIRECTIONAL FRICTION AND DAMPED RESPONSE
A QUASISTATIC CONTACT PROBLEM WITH DIRECTIONAL FRICTION AND DAMPED RESPONSE
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DOI：
10.1080/00036819808840639
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发表时间：
1998-04
影响因子：
1.1
通讯作者：
M. Rochdi;M. Shillor;M. Sofonea
中科院分区：
文献类型：
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作者：
M. Rochdi;M. Shillor;M. Sofonea
研究粘弹性体与刚性地基的准静态接触问题。材料的行为是由一个一般的非线性粘弹性本构关系。接触是有方向摩擦的，基础的阻力与法向速度成正比。证明了该问题的唯一弱解的存在性。还介绍了带磨损的滑动摩擦接触问题，并证明了其唯一弱解的存在性。证明是基于不动点定理和椭圆变分不等式，当摩擦系数和阻尼系数较小时，结果成立。
The quasistatic contact of a viscoelastic body with a rigid foundation is studied. The material behavior is modeled by a general nonlinear viscoelastic constitutive law. The contact is with directional friction and the foundation's resistance is proportional to the normal velocity. The existence of a unique weak solution to the problem is proved. The sliding frictional contact problem with wear is introduced, too, and the existence of its unique weak solution established. The proofs are based on fixed point theorems and elliptic variational inequalities, and the results hold when the friction and damping coefficients are small.