On 3D Cracks Intersecting a Free Surface in Laminated Composites

On 3D Cracks Intersecting a Free Surface in Laminated Composites
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层压复合材料中与自由表面相交的 3D 裂纹

DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
E. Sánchez
E. Sánchez
中科院分区：
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文献类型：
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作者：
D. Leguillon;E. Sánchez

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在二维和三维线性弹性中，奇异性和匹配渐近展开式使得脆性断裂力学得到扩展。尽管二维和三维方法存在一定的差异，但通常的裂纹尖端奇异指数
AbstractIn two- and three-dimensional linear elasticity, the singularities together with matched asymptotic expansions allow to extend the brittle fracture mechanics. Although there exist some difference between 2D and 3D approaches, the usual crack tip singularity exponent $$frac{1}{2}$$ remains in both cases the hinge value between strong and weak singularities. In 3D, 0 was expected to be also a hinge, but it seems difficult to exhibit solutions with a negative exponent. One aim of this paper is to investigate numerically such specific cases and to derive some asymptotics of the classical stress intensity factors. The second part is dedicated to prove that, in case of a small linear ligament, negative exponents cannot exist.