平面小变形弹塑性有限元求解断裂问题的研究

文章介绍了传统的用裂尖塑性修正求解平面 I型裂纹等效应力强度因子的方法。在此基础上 ,提出一种计算等效应力强度因子的数值方法。对有限元数值结果与传统方法的迭代结果进行了比较 ,证实该法适合于各类平面断裂问题。同时分析裂尖小范围塑性变形对远裂尖区域的影响。研究结果表明 ,由于弹塑性断裂问题的特殊性 ,在裂尖必须采用稠密网格 ,而其网格的自动生成也直接关系到该法的实际使用价值

Study of small deformation 2-D elastic-plastic FEM for calculating crack problems

This paper presents a numerical extrapolated method for calculating the effect stress intensity factor of 2-D Mode I crack.The traditional plastic correcting method based on linear elastic fracture mechanics is also introduced.The FEM's numerical results are compared with the results of the traditional method,which demonstrates the reliability of the numerical method for calculating the effect stress intensity factor of different series of 2-D crack problems.The paper also analyzes the influence of the small scale plastic deformation of crack tip on remote region from crack tip.For the particularity of the elastic-plastic crack problems,the dense FEM element meshes are adopted around the crack tip.The auto-generation of the element meshes is important for the proposed method to apply in the engineering.