On Fractal Cracks in Micropolar Elastic Solids
On Fractal Cracks in Micropolar Elastic Solids
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DOI：
10.1115/1.1409258
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
A. Yavari;S. Sarkani;E. Moyer
中科院分区：
文献类型：
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作者：
A. Yavari;S. Sarkani;E. Moyer
本文综述了微极（Cosserat）弹性固体中光滑裂纹的断裂力学。Griffith的断裂理论被推广到微极固体中的裂纹，并表明有两种可能的形式。研究了断裂面的分形性对应力幂次和偶应力奇异性的影响。利用量纲分析和一种渐近方法，我们称之为“裂纹效应区法”，得到了微极固体中分形裂纹尖端的应力和偶应力奇异性的阶数。“结果表明，应力和偶应力奇异性的阶数等于经典固体中同一分形裂纹尖端的应力奇异性的阶数。©2002 ASME
this paper we review the fracture mechanics of smooth cracks in micropolar (Cosserat) elastic solids. Griffith's fracture theory is generalized for cracks in micropolar solids and shown to have two possible forms. The effect of fractality of fracture surfaces on the powers of stress and couple-stress singularity is studied. We obtain the orders of stress and couple-stress singularities at the tip of a fractal crack in a micropolar solid using dimensional analysis and an asymptotic method that we call "method of crack-effect zone." It is shown that orders of stress and couple-stress singularities are equal to the order of stress singularity at the tip of the same fractal crack in a classical solid. ©2002 ASME