A frictionless contact problem for two elastic layers supported by a Winkler foundation
A frictionless contact problem for two elastic layers supported by a Winkler foundation
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DOI：
10.12989/sem.2003.15.3.331
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发表时间：
2003-03
影响因子：
2.2
通讯作者：
A. Birinci;R. Erdol
中科院分区：
文献类型：
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作者：
A. Birinci;R. Erdol
考虑两个弹性常数和高度不同的无限弹性层的平面接触问题。Winkler地基上的各层承受长度为2a的对称分布荷载和各层重力作用下的均匀竖向体积力。假定两弹性层之间的接触是无摩擦的，只有压缩的法向力可以通过界面传递。如果载荷系数小于临界值，则沿界面的接触沿着将是连续的。然而，如果它超过这个临界值，则发生界面分离。首先，解决了连续接触问题，确定了临界载荷系数的值。然后，不连续接触问题的奇异积分方程。数值解的接触应力分布，分离区的大小，临界载荷系数和分离距离，以及在分离区的垂直位移给出了各种无量纲量和分布载荷。
The plane contact problem for two infinite elastic layers whose elastic constants and heights are different is considered. The layers lying on a Winkler foundation are acted upon by symmetrical distributed loads whose lengths are 2a applied to the upper layer and uniform vertical body forces due to the effect of gravity in the layers. It is assumed that the contact between two elastic layers is frictionless and that only compressive normal tractions can be transmitted through the interface. The contact along the interface will be continuous if the value of the load factor, , is less than a critical value. However, interface separation takes place if it exceeds this critical value. First, the problem of continuous contact is solved and the value of the critical load factor, , is determined. Then, the discontinuous contact problem is formulated in terms of a singular integral equation. Numerical solutions for contact stress distribution, the size of the separation areas, critical load factor and separation distance, and vertical displacement in the separation zone are given for various dimensionless quantities and distributed loads.