Accurate loading analyses of curved cracks under mixed-mode conditions applying the J-integral
Accurate loading analyses of curved cracks under mixed-mode conditions applying the J-integral
复制标题
应用 J 积分混合模式条件下弯曲裂纹的精确加载分析
DOI：
10.1007/s10704-013-9857-9
复制
发表时间：
2013
影响因子：
2.5
通讯作者：
A. Ricoeur
中科院分区：
文献类型：
--
作者：
P. Judt;A. Ricoeur
在线弹性断裂力学中，与路径无关的J积分是等效于应力强度因子（SIF）或能量释放率的载荷量。对于平面裂纹问题，$$J_k$$Jk是一个二维向量，其分量为$$J_1$$J1和$$J_2$$J2。这两个参数可以与模式I和模式II SIF $$K_{I}$$KI和$$K_{II}$$KII相关。为了保证曲线裂纹几何形状的路径独立性，必须考虑沿裂纹面沿着的积分路径。本文讨论了与有限元法有关的J积分的数值计算中出现的问题。本文提出了两种精确计算任意裂纹的J_2值的新方法。
In linear elastic fracture mechanics the path-independent J-integral is a loading quantity equivalent to stress intensity factors (SIF) or the energy release rate. Concerning plane crack problems, $$J_k$$Jk is a 2-dimensional vector with its components $$J_1$$J1 and $$J_2$$J2. These two parameters can be related to the mode-I and mode-II SIFs $$K_{\mathrm{I}}$$KI and $$K_{\mathrm{II}}$$KII. To guarantee path-independence for curved crack geometries, an integration path along the crack faces must be considered. This paper deals with problems occurring at the numerical calculation of the J-integral in connection with the FE-method. Two new methods for accurately calculating values of $$J_2$$J2 for arbitrary cracks are presented.