In this paper, we utilize the surface Green's function of a magneto-electro-elastic (MEE) half-plane as a general analytical kernel to develop a semi-analytical method (SAM). This SAM is designed to solve the two-dimensional contact problems of two dissimilar deformable anisotropic MEE bodies. Using the surface Green's function, the associated influence matrices in SAM can be obtained in a closed mathematical form and then computed analytically, offering significant benefits in terms of computational efficiency and accuracy. This method can be applied to general contact problems where the contact surface is frictional sliding and subjected to four different electric and magnetic conditions. By assuming the elastic and piezoelectric materials as uncoupled MEE materials, the method can also be applied to contact problems in which anisotropic elastic and piezoelectric materials are involved. To demonstrate the accuracy and applicability of the proposed SAM, four different numerical examples are provided, and their results are compared with those obtained by using other approaches, such as analytical solutions and the previous SAM in the literature. Through the numerical results, parametric studies are also performed, allowing us to explore the influences of material properties, loadings, frictional coefficient, and contact surface profile on mechanical/electrical/magnetic contact behaviors.

中文翻译：

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二维可变形各向异性磁电弹性体之间的半解析摩擦接触分析


在本文中，我们利用磁电弹性（MEE）半平面的表面格林函数作为通用分析核来开发半解析方法（SAM）。该 SAM 旨在解决两个不同的可变形各向异性 MEE 体的二维接触问题。使用表面格林函数，可以以封闭的数学形式获得 SAM 中的相关影响矩阵，然后进行分析计算，从而在计算效率和准确性方面提供显着的好处。该方法可应用于一般接触问题，其中接触表面是摩擦滑动并受到四种不同的电磁条件。通过假设弹性和压电材料为非耦合MEE材料，该方法也可以应用于涉及各向异性弹性和压电材料的接触问题。为了证明所提出的 SAM 的准确性和适用性，提供了四个不同的数值示例，并将其结果与使用其他方法（例如解析解和文献中先前的 SAM）获得的结果进行了比较。通过数值结果，还进行了参数研究，使我们能够探索材料特性、载荷、摩擦系数和接触表面轮廓对机械/电气/磁性接触行为的影响。