偶应力弹性材料中的III型界面裂纹
Mode III interfacial crack in the presence of couple stress elastic materials
摘要：
本文研究了具有反平面变形微结构的异种材料界面裂纹问题。材料的微极行为由Koiter（1964）发展的偶应力弹性理论描述。该本构模型包括弯曲和扭转的特征长度，因此能够解释两种材料的基本微观结构。我们进行了渐近分析，调查的行为的解决方案附近的裂纹尖端。事实证明，在裂纹尖端的应力奇异性的强烈影响的微观结构参数，它可能会或可能不会显示振荡行为取决于特征长度之间的比率。
英文摘要：
In this paper we are concerned with the problem of a crack lying at the interface between dissimilar materials with microstructure undergoing antiplane deformations. The micropolar behaviour of the materials is described by the theory of couple stress elasticity developed by Koiter (1964). This constitutive model includes the characteristic lengths in bending and torsion and thus it is able to account for the underlying microstructure of the two materials. We perform an asymptotic analysis to investigate the behaviour of the solution near the crack tip. It turns out that the stress singularity at the crack tip is strongly influenced by the microstructural parameters and it may or may not show oscillatory behaviour depending on the ratio between the characteristic lengths.
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