摘要
基于有限变形理论中的能量原理和变分原理,考虑以有裂纹的瞬时位形为参考,建立增量变形引起的裂纹扩展方程能够更真实的描述裂纹尖端的扩展机制,在含有裂纹物体的瞬时变形的基础上,推导了裂纹体的能量释放率和增率的形式,提出了裂纹扩展判据。该判据反映了单位时间内裂纹扩展单位面积可以提供的能量与单位时间内裂纹扩展单位面积所需要的能量之间的关系,为研究裂纹尖端的扩展问题提供了新的方法。
Based on the energy principles and the variational principle in finite deformation theory,considering the instantaneous configuration of crack,the paper establishes the incremental deformation caused by crack propagation,which can describe a more realistic mechanism for the expansion of the crack tip.The energy release rate and increase rate are proposed by taking the instantaneous configuration as the reference at the real physics state in the crack body.Also the crack propagation criterion is proposed.This propagation criterion describes the relationship between the energy and the crack growth per unit time per unit area of energy needed.It provides an approach for studying expansion of the crack tip.
出处
《工程力学》
EI
CSCD
北大核心
2011年第5期49-53,共5页
Engineering Mechanics
基金
国家重点基础研究发展计划项目(2010CB732002
2007CB209402)
中央高校专项基金项目(2009QS01)
关键词
有限变形
释放率
增率形式
裂纹扩展
断裂判据
finite deformation
energy release rate
incremental rate form
crack propagation
fracture criterion
