The Stress State of an Elastic Orthotropic Medium with an Ellipsoidal Cavity

被引：0

作者：

V. S. Kirilyuk

机构：

[1] National Academy of Sciences of Ukraine,S. P. Timoshenko Institute of Mechanics

来源：

International Applied Mechanics | 2005年 / 41卷

关键词：

stress state; elastic space; orthotropic medium; ellipsoidal cavity; Fourier transform; Green function; perturbed state; stress concentration;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The stress-concentration problem for an elastic orthotropic medium containing an ellipsoidal cavity is solved. The stress state in the elastic space is represented as a superposition of the principal state and the perturbed state due to the cavity. The equivalent-inclusion method, the triple Fourier transform in spatial variables, and the Fourier-transformed Green function for an infinite medium are used. Double integrals over a finite domain are evaluated using the Gaussian quadrature formulas. The results for particular cases are compared with those obtained by other authors. The influence of the geometry of the cavity and the elastic properties of the material on stress concentration is studied

引用

页码：302 / 308

页数：6

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