Stress concentration in an anisotropic half space with cylindrical cavities and plane cracks

被引：0

作者：

Kaloerov S.A. ^{[1
]}

Avdyushina E.V. ^{[1
]}

机构：

[1] Donetsk State University,

来源：

Journal of Mathematical Sciences | 2001年 / 103卷 / 3期

关键词：

Boundary Condition; Anisotropy; Stressed State; Stress Intensity; Stress Intensity Factor;

D O I：

10.1023/A:1011310227944

中图分类号：

学科分类号：

摘要：

A method is proposed for determining the two-dimensional stressed state of a half space with a general rectilinear anisotropy. General representations of the complex potentials are obtained and studied, as well as expressions for the stresses and displacements, along with the boundary conditions for determining these functions. As an example, we solve for the stressed state of and calculate the stress intensity factors for a half plane (in the presence of a single elastic symmetry plane) with a circular (elliptical) hole and edge cracks. It is shown how the crack length, the closeness of a hole with a crack to the boundary, and the anisotropy of the material affect the stress concentration and stress intensity factors. © 2001 Plenum Publishing Corporation.

引用

页码：334 / 343

页数：9

共 8 条

[1]

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[2]

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[3]

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[4]

Kaloerov S.A., Two-dimensional elasticity theory problem for multiply connected bodies with cracks, Tear. Prikl. Mekh., 17, pp. 32-41, (1986)

[5]

Kaloerov S.A., Solution of two-dimensional problems in the theory of cracks by linear conjugation, Mechanics of Composites, 7, pp. 51-91, (1998)

[6]

Kaloerov S.A., Avdyushina E.V., Stress concentration in an anisotropic half plane with cavities and cracks, Tear. Prikl. Mekh., 27, pp. 63-72, (1997)

[7]

Ashkenazi E.K., Ganov G.P., Anisotropy of Structural Materials [in Russian], (1980)

[8]

Kaloerov S.A., Approximate method for determining the stress intensity coefficients for two-dimensional multiply connected bodies with rectilinear cracks, Tear. Prikl. Mekh., 24, pp. 27-33, (1993)

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