裂尖大应变细观断裂研究

ANALYSES ON MICRO-FRACTURE 0F CRACK TIP UNDER LARGE DEFORMATI0N CONDITIONS

本文用反映空穴形棱成长的Gurson本构方程来描述裂尖区域材料在大应变情形下的力学特性,并进一步考虑了空穴演变对材料杨氏摸量的影响.文中用上述本构方程分别结合弹性大应变有限元方法对平面应变Ⅰ型裂纹问题作了计算,分析了裂尖应力分布、裂尖形状变化和裂尖空穴演变过程,并与用Prandtl-Reuss本构方程计算的结果作了比较.

In the present paper, Gurson's constitutive equation, which takes into account the development of voids, is used to study the behaviour of the material in the region near crack tip. Furthermore, the effect of void development on Young's modulus, which was not considered by Gurson, is taken into consideration. The analyses on void development, on stress distribution near crack tip, and on the variance of COD for the plane strain mode I problem are carried out with the large elastic-plastic deformation finite element method. The results are compared with those estimated from the Prandtl-Reuss constitutive equation.