On cracks in rectilinearly anisotropic bodies
On cracks in rectilinearly anisotropic bodies
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DOI：
10.1007/bf00186854
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发表时间：
1965-09
期刊：
影响因子：
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通讯作者：
G. Sih;P. C. Paris;G. Irwin
中科院分区：
文献类型：
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作者：
G. Sih;P. C. Paris;G. Irwin
本文用复变函数法导出了各向异性体裂纹尖端应力场的一般方程。应力强度因子，它允许简洁的裂纹扩展的条件表示，定义和直接从应力函数进行评估。本文给出了一些个别边值问题的封闭解，并与各向同性体的相应解进行了讨论，发现在具有直线各向异性的物体中，裂纹尖端总是存在r−1/2阶的弹性应力奇异性（r是到裂纹前缘的径向距离）。这一结果和一些额外的考虑裂纹尖端应力场意味着，它是可能的扩展目前的断裂力学方法的各向异性体裂纹缺陷的断裂条件的表示。
The general equations for crack-tip stress fields in anisotropic bodies are derived making use of a complex variable approach. The stress-intensity-factors, which permit concise representation of the conditions for crack extension, are defined and are evaluated directly from stress functions. Some individual boundary value problem solutions are given in closed form and discussed with reference to their companion solutions for isotropic bodies.It is found that an elastic stress singularity of the order r−1/2is always present at the crack tip in a body with rectilinear anisotropy (r being the radial distance from the crack front). This result and some additional consideration of the crack-tip stress fields imply that it is possible to extend current fracture mechanics methods to the representation of fracture conditions for anisotropic bodies with cracklike imperfections.