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Axisymmetric indentation problem of a transversely isotropic elastic medium with surface stresses
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ( IF 2 ) Pub Date : 2019-09-29 , DOI: 10.1177/0954406219877909
Fang Fang Wang 1 , Jing Jin Shen 2 , Yong Gui Li 3
Affiliation  

The frictionless contact problem between an axisymmetric rigid indenter and a layered transversely isotropic medium with surface stresses is considered. The contact pressure is represented as a product of two series based on the solutions of the bulk material and the elastic surface. By using Hankel transforms, the coefficients in the product-series representation are determined by the normal displacement condition inside the contact area and the finite-pressure condition at the contact edge. Taking the spherical indentation as a specific example, the effectiveness of the solution procedure is verified for various contact scenarios. Comparing with the Green’s function method, this solution procedure is not only computationally efficient but also may give the contact pressure in its analytical form. For some specific problems, the effects of the material anisotropy and the layer thickness on the contact process with surface stresses are investigated.

中文翻译:

具有表面应力的横向各向同性弹性介质的轴对称压痕问题

考虑了轴对称刚性压头与具有表面应力的层状横向各向同性介质之间的无摩擦接触问题。接触压力表示为基于散装材料和弹性表面的解决方案的两个系列的乘积。通过使用 Hankel 变换,乘积级数表示中的系数由接触区域内的法向位移条件和接触边缘的有限压力条件确定。以球形压痕为例,验证了求解过程对各种接触场景的有效性。与格林函数法相比,该求解过程不仅计算效率高,而且可以以其解析形式给出接触压力。对于一些具体问题,
更新日期:2019-09-29
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