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Energy dissipation and contour integral characterizing fracture behavior of incremental plasticity

ISSN号：0567-7718
期刊名称：《力学学报：英文版》
时间：0
分类：O346.1[理学—固体力学;理学—力学] TK018[动力工程及工程热物理]
作者机构：[1]Chen Center for Composite Materials, Harbin Institute of Technology, 150080 Harbin, China
相关基金：supported by the Program of Excellent Team in Harbin Institute of Technology and the National Natural Science Foundation of China （10502017 10432030）

作者： Qi-Lin He Lin-Zhi Wu Ming Li Hong-Bo Chen[1]

关键词：弹塑性材料, 能源消耗, 断裂行为, 轮廓特征, 增量, 自由能密度, 裂纹尖端, J积分, J-integral · Energy dissipation · Proportional loading · Deformation plasticity · Incremental plasticity

中文摘要：

J ep 积分为描绘有弹性塑料的材料的破裂行为被导出。J ep 积分不同于米饭 J 积分因为工作的免费精力密度而非压力密度被采用定义精力动量张肌。J ep 积分被证明不管增长粘性和变丑粘性是路径依赖者。J ep 积分拥有清楚地清楚的物理意思：(1 ) 在包围裂缝尖端的无穷地小的轮廓上评估的价值 J tipep 代表裂缝尖端精力驱散；(2 ) 当全球 steadystate 裂缝生长条件被接近时，沿着边界轮廓计算的 J far-ssep 的价值等于到裂缝尖端驱散和塑料地区的体积驱散的和。理论结果被模仿我击碎的模式验证问题。

英文摘要：

J ep -integral is derived for characterizing the frac- ture behavior of elastic-plastic materials. The J ep -integral differs from Rice’s J-integral in that the free energy density rather than the stress working density is employed to define energy-momentum tensor. The J ep -integral is proved to be path-dependent regardless of incremental plasticity and deformation plasticity. The J epintegral possesses clearly clear physical meaning：（1） the value J ep tip evaluated on the infinitely small contour surrounding the crack tip represents the crack tip energy dissipation; （2） when the global steadystate crack growth condition is approached, the value of J ep farss calculated along the boundary contour equals to the sum of crack tip dissipation and bulk dissipation of plastic zone. The theoretical results are verified by simulating mode I crack problems.