The generalized Cattaneo partial slip plane contact problem. I - Theory
The generalized Cattaneo partial slip plane contact problem. I - Theory
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DOI：
10.1016/s0020-7683(97)00154-6
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发表时间：
1998-06-01
影响因子：
3.6
通讯作者：
Ciavarella, M
中科院分区：
文献类型：
--
作者：
Ciavarella, M
Cattneo问题被考虑为弹性相似材料之间的一般平面接触，即在法向载荷保持不变的情况下，从零开始单调增加的切向载荷。不同于经典的关于Cattneo解的棒状区的位移场的争论，我们从棒状区的控制积分方程组隐式地攻击该问题。在讨论并解决了完整杆的情况后，我们转到更实际的(有限摩擦情况下)部分滑动的情况。我们证明，在隔离完全滑动的影响后，控制杆区修正剪力的修正解的等式和不等式与在较小载荷下的法向接触问题的解完全相同，但转动与实际的相同。这种类比使我们可以推导出几个一般性质，并给出了与无摩擦法向压痕问题一样求解部分滑移Cattneo问题的一般方法。在此基础上，给出了单接触、多接触和周期接触的一般解。文中第二部分给出了一套完整的显式结果。(C)1998爱思唯尔科学有限公司。保留所有权利。
The Cattaneo problem is considered for a general plane contact between elastically similar materials, i.e. a monotonically increasing tangential load, starting from zero, with normal loading held fixed. Instead of the classical argument on the displacement field in the stick zone of Cattaneo solution, we attack the problem implicitly from the governing integral equations in the stick zones. After discussing and solving the full-stick case, we move to the more realistic (for finite friction) case of partial slip. We show that, upon isolating the effect of full sliding, the equalities and inequalities governing the corrective solution for the corrective shearing tractions in the stick zone are exactly the same as those governing the solution of the normal contact problem with a lower load, but the same rotation as the actual one. This analogy permits us to deduce several general properties, and gives a general procedures for solving partial slip Cattaneo problems as frictionless normal indentation ones. Therefore, the general solutions for single, multiple and periodic contacts is given. A comprehensive set of explicit results is given in the part II of the paper. (C) 1998 Elsevier Science Ltd. All rights reserved.