摘要
对连续体损伤力学在微裂纹屏蔽问题中应用的J积分守恒假设提出质疑.用理论分析和电算实践证明了远场J积分在微裂纹损伤区中的再分配关系,即Jκ矢量的投影守恒关系.在这一关系中,被Herrmann所轻视的J2分量起着十分重要的作用.本文的研究表明,Ortiz理论应考虑到远场J积分在损伤区中的损失。
In this paper, the J integral conservation in adopting the continuum mechanics in the microcrack shielding problems is reexamined. From thetheoretical manipulation as well as the computational experiment, it is proved that there is a redistribution relation of the remote J integral in the microcracking damage region, i.e., the relation of theprojected conservation of the J k vector. In the relation, the J 2 component ignored by Herrmann and Herrmann plays an important role. It is concluded also that the elastic stiffness reduction, and the presence of strain/deformation due to the release of residual stresses are bothenergy dissipating processes which based on an energy balance approach give rise to toughening and thus crack-tip shielding.
出处
《力学学报》
EI
CSCD
北大核心
1997年第1期47-53,共7页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
微裂纹
屏蔽
连续体损伤
守恒积分
损伤力学
microcracks, shielding, continuum damage, conservation integral