A mode III crack at the interface between two nonlinear materials

C. Champion, C. Atkinson
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引用次数: 25

Abstract

The stress singularity at the tip of a crack at the interface between two different power-law materials under mode III loading (longitudinal shear) is considered. By considering expansions at the crack tip in each region, and matching across the interface ahead of the crack, it is found that the stress singularities are the same in each material, and correspond to that for a crack in a homogeneous material with hardening exponent equal to the maximum of the hardening exponents of the two materials. The displacements near the crack tip are found to be of different orders in the two materials, and it is shown that all the crack tip energy is concentrated in the material with the largest hardening exponent. The results are illustrated by means of an example involving a displacement loaded bimaterial strip.
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两种非线性材料界面处的III型裂纹
考虑了两种幂律材料界面在III型载荷(纵向剪切)作用下裂纹尖端的应力奇异性。通过考虑裂纹尖端在各区域的扩展,并在裂纹前方的界面上进行匹配,发现每种材料的应力奇点是相同的,并且对应于硬化指数等于两种材料硬化指数最大值的均匀材料裂纹的应力奇点。两种材料在裂纹尖端附近的位移量级不同,表明裂纹尖端能量全部集中在硬化指数最大的材料中。结果通过一个涉及位移加载双材料条的例子加以说明。
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