三维斜置半圆形表面裂纹扩展数值模拟  

NUMERICAL SIMULATION OF 3-D INCLINED SEMICIRCLE SURFACE CRACK PROPAGATION

作　　者：张敦福[1] 李术才[1] 

机构地区：[1]山东大学土建学院,济南250061

出　　处：《固体力学学报》2009年第2期129-135,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(40872203);国家杰出青年科学基金(A类)(50625927);教育部科技司重点项目(108158)资助

摘　　要：以裂纹前沿局部坐标中主法平面内的最大周向拉应力作为控制参数,对第一主应力拉应力裂纹扩展准则进行了补充和修正.修正后的拉应力裂纹扩展准则称为最大周向拉应力裂纹扩展准则.它不仅可以有效地确定裂纹扩展方位、扩展方向和扩展条件,而且可以有效地确定裂纹扩展步长.根据修正的裂纹扩展准则,给出了三维裂纹曲面的数学描述方式,可以有效地模拟扩展曲面的弯折和扭曲.The maximal circumferential tensile stress in local coordinate at crack front is taken as the control parameter. The first principal stress tensile stress criterion is complemented and modified, which is named the maximal circumferential tensile stress criterion. With this criterion, not only the location and propagation orientation, but also the crack progation step-length can be effectively determined. Finally, a mathematical method is given out to simulate bending and twisting of crack propagation surface.

关 键 词：三维裂纹扩展 三维裂纹扩展准则 主法平面 无网格GALERKIN方法 数值模拟 

分 类 号：O346.1[理学—固体力学]