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A Singularity in an Anisotropic Trimaterial with Two Parallel Interfaces

机译:具有两个平行界面的各向异性三材料中的奇点

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The purpose of this study is to provide Schwarz-Neumann’s alternating technique for solving arnsingularity problem in an anisotropic “trimaterial.” The “trimaterial” is an infinite body composed of threerndissimilar materials bonded along two parallel interfaces. Linear elastic materials and general plane deformationsrnare assumed, in which the plane of deformation is perpendicular to the two parallel interface planes.rnProvided the solution is known for a singularity in a homogeneous anisotropic medium, the solution forrnthe same singularity in an anisotropic bimaterial can be constructed by using the analytic continuation method. Itrnis shown here that the homogeneous solution for a singularity may also be used as a building block for arntrimaterial solution for the same singularity. The alternating technique is applied to derive the trimaterial solutionrnin a series form. The solution procedure is universal in the sense that no specific information about thernsingularity is needed. The image forces exerted on a dislocation due to interfaces are estimated in a series formrnusing the solution obtained in this study.
机译:这项研究的目的是提供Schwarz-Neumann的交替技术,以解决各向异性“三材料”中的奇异性问题。 “三材料”是由沿着两个平行界面结合的三种不同材料组成的无限体。假设线性弹性材料和一般平面变形rn,其中变形平面垂直于两个平行的界面平面.rn提供了已知在均质各向异性介质中具有奇异性的解,可以构造出在各向异性双材料中具有相同奇异性的解通过使用解析延续方法。 Itrnis在此处显示,奇异性的均匀解也可以用作相同奇异性的材料解决方案的基础。应用交替技术以系列形式导出三材料溶液。解决过程是通用的,因为不需要有关奇异性的特定信息。使用本研究中获得的解决方案以一系列形式估算由于界面而施加在位错上的图像力。

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