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首页> 外文期刊>Journal of Mechanical Science and Technology >A receding contact analysis for an elastic layer reinforced with a functionally graded coating and pressed against a half-plane
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A receding contact analysis for an elastic layer reinforced with a functionally graded coating and pressed against a half-plane

机译：用功能梯度涂层加固的弹性层的回收接触分析，并压在半平面上

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摘要

We aim to analyze the receding contact mechanics of an elastic layer reinforced by a functionally graded coating, pressed against a half-plane substrate as an integral assembly. The graded reinforcement is modeled by an inhomogeneous medium whose shear modulus is allowed to vary exponentially. A smooth receding contact is arisen due to the normal tractions applied over a finite segment of the reinforcement surface. The primary goal of this study is the determination of both the receding contact pressure and the extent of receding contact along the assembly and substrate interface. Using both an analytical and a finite element method solves the problem. In the former approach, Fourier integral transforms help convert the problem into a singular integral equation of Cauchy type, which is numerically integrated with Gauss-Chebyshev quadrature. In the numerical approach, multiple homogeneous layers approximate the graded coating. The stresses at those nodes lying on sublayer interfaces are averaged over their surrounding elements for guaranteeing the continuity in stress field. Very good agreements are found between the results obtained from the two methods. Extensive parametric case studies reveal that material properties, loading configuration, and geometric parameters all play important roles in the determination of both the contact pressure distribution and the length of contact. These receding contact properties can therefore be optimized as desired by appropriately varying the influential parameters. Both the solution methodologies and the numerical results presented in this work can provide some useful guidelines on the better design of multilayered functionally graded structures.
机译：我们的目的是分析通过功能梯度涂层加强的弹性层的后退接触机械，以作为整体组件压靠半平面衬底。分级钢筋由不均匀介质建模，其剪切模量被呈指数变化。由于在加强表面的有限区段上施加的正常牵引而产生光滑的后退接触。本研究的主要目的是确定后退接触压力和沿着组件和基板界面的后退接触程度。使用分析和有限元方法解决问题。在以前的方法中，傅里叶积分变换有助于将问题转换为Cauchy类型的奇异积分方程，其与高斯-Chebyshev正交进行了数量。在数值方法中，多个均匀层近似分级涂层。位于子层界面上的那些节点的应力在其周围元件上平均用于保证应力场中的连续性。从这两种方法获得的结果之间发现了非常好的协议。广泛的参数案例研究揭示了材料特性，装载配置和几何参数在确定接触压力分布和接触长度的确定中都发挥着重要作用。因此，可以通过适当改变有影响的参数来根据需要优化这些后退接触性能。本作工作中提出的解决方案方法和数值结果都可以提供一些有用的指导方针，更好地设计多层功能分级结构。

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