摘要
本文通过考虑局部化残余力的影响对线性非局部弹性理论进行了修正,由修正后的理论所导出的应力边界条件包含了物体微观结构的长程力的作用,这个结果不仅解释了在裂纹混合边界值问题中线性非局部弹性理论方程的解在常应力边界条件下不存在的问题,而且可以自然地得到裂纹尖端的Barenblatt分子内聚力模型。
In this paper, the linear nonlocal elasticity is modified by considering the influence of nonlocal residual force. A stress boundary condition which contains the effect of the long-distance force of micro structure of matter is given in the modified theory. This result not only answers the problem that the solution of the linear nonlocal elasticity under the
boundary condition with constant stress does not exist in the crack problem with mixed
boundary condition, but also obtains naturely the model of molecular cohesive stress on the
tip of crack advanced by Barenblatt.
出处
《上海力学》
CSCD
1996年第2期132-136,共5页
Chinese Quarterly Mechanics
关键词
非局部
弹性理论
局部化残余
线性
nonlocal elasticity, local residual, stress boundary condition.
