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首页> 外文期刊>Engineering analysis with boundary elements >Contact mechanics of two elastic spheres reinforced by functionally graded materials (FGM) thin coatings
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Contact mechanics of two elastic spheres reinforced by functionally graded materials (FGM) thin coatings

机译：功能梯度材料（FGM）薄涂层增强的两个弹性球体的接触力学

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This paper examines the normal frictionless point contact between two dissimilar elastic spheres reinforced by FGM coatings with arbitrarily varied shear modulus and Poisson's ratio. Both the coating thicknesses and contact area are small compared to the radiuses of the two spheres. The material inhomogeneity of the FGM coating is only along the radial direction. The contact problem is formulated and reduced to a nonlinear Fredholm integral equation of the second kind. A multi-layer elastic half space model is used to develop the relationship between the contact stress and the vertical displacements of the FGM coated spheres. In this model, the FGM coating is divided into large number of perfectly bonded dissimilar thin sub-layers. Each sub-layer is homogeneous and has constant values of shear modulus and Poisson's ratio. Analytical solutions are derived for the contact force and stress. New numerical results are presented to show the effects of graded shear modulus and graded Poisson's ratio on the contact responses. It is shown that the contact force, stress and area can be significantly influenced by the graded shear modulus, and the effects of the graded Poisson's ratio are not negligible.
机译：本文研究了任意变化的剪切模量和泊松比变化的FGM涂层增强的两个不同弹性球之间的正常无摩擦点接触。与两个球体的半径相比，涂层的厚度和接触面积都较小。 FGM涂层的材料不均匀性仅沿径向方向。提出了接触问题并将其简化为第二类非线性Fredholm积分方程。多层弹性半空间模型用于建立FGM涂层球的接触应力和垂直位移之间的关系。在该模型中，FGM涂层分为大量完美粘合的异种薄子层。每个子层都是均匀的，并且具有恒定的剪切模量和泊松比值。得出了接触力和应力的解析解。提出了新的数值结果，以显示梯度剪切模量和梯度泊松比对接触响应的影响。结果表明，梯度剪切模量可以显着影响接触力，应力和面积，并且梯度泊松比的影响不可忽略。

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