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首页> 外文期刊>Applied Mathematical Modelling >Anti-plane stress analysis of dissimilar sectors with multiple defects
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Anti-plane stress analysis of dissimilar sectors with multiple defects

机译：具有多个缺陷的不同扇区的反平面应力分析

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In this article, the anti-plane deformation of a typical dissimilar sector consists of two sub-sectors attached to each other on one circular edge is studied. The solution of a Volterra type screw dislocation problem in the sector is obtained through finite Fourier cosine transform. Exact closed-form solutions for the displacement and stress fields are also presented. Next, using a distributed dislocation method, integral equations of the sectors weakened by cracks and cavities under an anti-plane traction are obtained. The defects are assumed to be located only in one of the sub-sector regions. The obtained equations for the latter problem are of the Cauchy singular type and have been solved numerically. Several examples are presented to demonstrate the efficiency and applicability of the proposed solution procedure. The geometric and force singularities of the stress field are studied and compared to those reported in the literature.
机译：在本文中，研究了一个典型的异种扇区的反平面变形，该变形由两个子扇区组成，它们在一个圆形边缘上彼此附着。通过有限傅里叶余弦变换获得该扇区中的Volterra型螺钉错位问题的解决方案。还给出了位移场和应力场的精确封闭形式解。接下来，使用分布错位方法，获得在抗平面力作用下被裂纹和空腔削弱的扇区的积分方程。假定缺陷仅位于子扇区区域之一中。针对后一个问题获得的方程式为柯西奇异类型，并且已通过数值求解。给出了几个例子来证明所提出的解决方案的效率和适用性。研究了应力场的几何奇异性和力奇异性，并将其与文献中报道的奇异性进行了比较。

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