带单边裂纹的有限狭长体的Dugdale-Barenblatt模型

研究带有单边裂纹的有限狭长体问题。在弹性体塑性变形中引进内聚力模型, 由Dugdale Barenblatt的观点,将一个带有外部载荷和一个带有内聚力载荷的线弹性场叠加。 采用超越函数保角变换的复分析理论,将这个问题转化成一组函数方程,从而求得相应的应力强度因子和内聚力区域。

A Dugdale-Barenblatt model for a finite width strip with single edge crack

The present study aims at determining the solutions of the well-known problem of a finite width strip with single edge crack, which is transformed a mathematically daunting problem. Cohesive forces are incorporated into a plastic strip in the elastic body. By superposing the two linear elastic fields, one evaluated with internal loadings and the other with cohesive forces, the problem is treated in Dugdale-Barenblatt′s manner. A simple but yet rigorous version of the complex analysis theory is employed here, which involves transcendental function conformal mapping technique. The analytical approach leads to establish a few equations, which allows the exact calculation of the corresponding stress intensity factors and the size of cohesive force zone.