任意形状的弹性或压电非均匀性内螺钉错位的像力

IF 0.8 4区工程技术 Q3 MATHEMATICS, APPLIED

Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2021-02-05 DOI:10.1093/QJMAM/HBAA015

Xu Wang, Ping Yang, P. Schiavone

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引用次数: 1

摘要

提出了一种新的、有效的方法来确定作用于任意形状的弹性非均匀体内的螺旋位错的像力。我们表示像力的基础是这样一个事实，即在弹性非均匀性内部定义的解析函数可以方便地从完美界面上的牵引力和位移的连续性条件中构造出来。用相同的方法推导了任意形状的压电非均匀体中螺旋位错的像力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Image Force on a Screw Dislocation Inside an Elastic or a Piezoelectric Inhomogeneity of Arbitrary Shape

A novel and effective method is proposed to determine the image force acting on a screw dislocation located inside an elastic inhomogeneity of arbitrary shape perfectly bonded to an infinite elastic matrix. The basis for our representation of the image force stems from the fact that the analytic function defined inside the elastic inhomogeneity can be conveniently constructed from the continuity conditions of traction and displacement across the perfect interface. An identical method is employed to derive the image force on a screw dislocation inside a piezoelectric inhomogeneity of arbitrary shape.

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来源期刊

Quarterly Journal of Mechanics and Applied Mathematics 物理-力学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.