基于界面层模型的三维界面裂纹分析

Layer-Model-Based Three-Dimensional Interface Crack Analysis

摘要: 在工程领域中，界面问题广泛存在，界面的特殊性质导致结合材料的破坏往往始于该处，所以为了保证整个材料的使用安全必须对界面裂纹进行研究。与均质材料裂纹不同，界面裂纹表现出了一些特殊的性质，如裂纹尖端场应力的振荡奇异性、应力强度因子的量纲等问题，不少学者也提出了改进原有不足的新理论。考虑到界面裂纹具有的某些特殊性质，本文依据界面层理论，将结合材料的界面视为具有厚度的功能梯度材料(FGM)层，并建立针对界面层内椭圆裂纹的断裂力学理论体系进行分析，对三维界面裂纹破坏机理的研究提供了理论方法。

Abstract: In the field of engineering, interface problems exist extensively, and the special nature of the interface leads to the destruction of bonded materials that often begins at this location. Therefore, in order to ensure the safety of the entire material, the interface crack must be studied. Different from the homogeneous material cracks, the interface cracks show some special properties, such as the oscillation singularity of the field stress at the crack tip, and the dimension of the stress intensity factor. Numerous scholars also proposed a new theory to improve the existing deficiencies. Considering the special properties of interfacial cracks, according to the interface layer theory, the interface of bonded materials is regarded as a functionally graded material (FGM) layer with thickness, and a theoretical system of fracture mechanics for the elliptic cracks in the interfacial layer is established for analysis, which provides a theoretical method for the study of three-dimensional interface crack failure mechanism.