On stressed state of transversely isotropic medium with an arbitrarily oriented spheroidal void or penny-shaped crack under internal pressure

被引：2
作者：
Kirilyuk V.S. [1 ]
Levchuk O.I. [1 ]
机构：
[1] Timoshenko Institute of Mechanics, National Academy of Sciences, Kiev
来源：
Strength of Materials | 2005年 / 37卷 / 5期
关键词：
Equivalent-inclusion method; Internal pressure; Penny-shaped crack; Spheroidal void; Stress distribution; Stress intensity factors; Transversely isotropic material;
D O I：
10.1007/s11223-005-0058-2
中图分类号：
学科分类号：
摘要：
The paper addresses the problem of stress distribution in an elastic transversely isotropic material containing an arbitrarily oriented spheroidal void or a penny-shaped crack under internal pressure. A solution to the problem is set up using the equivalent-inclusion method, triple Fourier transform in space variables, and the Fourier image of Green's function for infinitely anisotropic space. Some double integrals over a finite domain for the void as well as loop integrals for the crack are computed by Gaussian quadrature formulas. The results obtained in particular cases are compared with the data reported elsewhere. The effects of the void geometry, material's elastic properties, orientation of a void or a crack on the stress distribution on the void surface or on the stress intensity factor at the crack front are studied. The most critical void orientation has been found. © 2005 Springer Science + Business Media, Inc.
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页码：480 / 488
页数：8
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