Plane Problem of the Theory of Elasticity for a Quasiorthotropic Body with Cracks

被引：0

作者：

Savruk M.P. ^{[1
,2
]}

Chornen’kyi А.V. ^{[1
]}

机构：

[1] Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv

[2] Bialystok Technical University, Bialystok

来源：

Materials Science | 2015年 / 51卷 / 3期

关键词：

curvilinear crack; elasticity theory; method of singular integral equations; quasiorthotropic medium; stress intensity factor;

D O I：

10.1007/s11003-015-9844-6

中图分类号：

学科分类号：

摘要：

We write basic relations of the plane problem of the theory of elasticity for a quasiorthotropic body. The integral representations for the complex stress potentials are constructed for a quasiorthotropic plane in terms of the jumps of displacements on open curvilinear contours. The first basic problem for a plane with cracks is reduced to singular integral equations. We find the asymptotic distribution of stresses near the tip of a curvilinear crack. The analytic solution of the problem is obtained for an arbitrarily oriented rectilinear crack. We numerically compute the stress intensity factors for a parabolic crack and analyze the influence of the ratio of the basic moduli of elasticity of the material on their behavior. © 2015, Springer Science+Business Media New York.

引用

页码：311 / 321

页数：10

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