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Plane frictional receding contact of a thin layer pressed onto a substrate by finite pressure distributions
European Journal of Mechanics - A/Solids ( IF 4.1 ) Pub Date : 2021-04-26 , DOI: 10.1016/j.euromechsol.2021.104309
K.S. Parel

A frictional receding contact problem of an infinitely long layer pressed by different finite pressure distributions onto a half-plane of the same linear elastic material is solved with the distributed dislocation technique. Solutions are obtained for when the layer is subject to three different pressure distributions: finite patch of constant pressure, square-root bounded (Hertzian) pressure and square-root singular pressure. The contact tractions, the locations of slip and separation, and the slope of the layer at remote points are found for different coefficients of friction and for different widths of pressure distribution. A universal relationship is deduced between the total slip, the remote slope of the layer and the shear traction.



中文翻译:

通过有限压力分布压在基板上的薄层的平面摩擦后退接触

用分布位错技术解决了无限长层被不同的有限压力分布压在同一线弹性材料的半平面上的摩擦后退接触问题。当层受到三种不同的压力分布时,获得了解决方案:恒定压力的有限块、平方根有界(赫兹)压力和平方根奇异压力。对于不同的摩擦系数和不同的压力分布宽度,可以找到接触牵引力、滑动和分离的位置以及远程点的层斜率。推导出总滑移、地层的远程坡度和剪切牵引力之间的普遍关系。

更新日期:2021-06-18
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