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首页> 外文会议>ASME international design engineering technical conferences and computers and information in engineering conference 2014 >SEMI-ANALYTIC ITERATIVE SOLUTION FOR THE ADHESIVE CONTACT BETWEEN A MICRO-INDENTER AND A GRADED ELASTICITY COATING
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SEMI-ANALYTIC ITERATIVE SOLUTION FOR THE ADHESIVE CONTACT BETWEEN A MICRO-INDENTER AND A GRADED ELASTICITY COATING

机译：微压入和梯度弹性涂层之间的胶粘剂接触的半解析迭代解

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摘要

This paper proposes a hybrid (semi-analytic) solution for determining the contact footprint and subsurface stress field in a two-dimensional adhesive problem involving a multi-layered elastic solid loaded normally by a rigid indenter. The subsurface stress field is determined using a semi-analytic solution and the footprint using a fast converging iterative algorithm. The solid to be indented consists of a graded elasticity coating with exponential increase of decay of its shear modulus bonded on a homogeneously elastic substrate. By applying the Fourier Transform to the governing boundary value problem, we formulate expressions for the stresses and displacements induced by the application of line forces acting both normally and tangentially at the origin. The superposition principle is then used to generalize these expressions to the case of distributed normal pressure acting on the solid surface. A pair of coupled integral equations are further derived for the parabolic stamp problem which are easily solved using collocation methods.
机译：本文提出了一种混合（半解析）解决方案，用于确定二维胶粘剂问题中的接触足迹和次表面应力场，该问题涉及通常由刚性压头加载的多层弹性固体。使用半解析解确定地下应力场，并使用快速收敛的迭代算法确定足迹。待压痕的固体由梯度弹性涂层组成，该弹性涂层的剪切模量衰减的衰减呈指数增加，并均匀地粘附在均匀的弹性基材上。通过将傅立叶变换应用于控制边值问题，我们对由在原点处正常和切向作用的线力的施加所引起的应力和位移公式化。然后将叠加原理用于将这些表达式推广到作用在固体表面上的分布法向压力的情况。对于抛物线形邮票问题，还可以导出一对耦合的积分方程，这些方程很容易使用搭配方法解决。

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