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线性非局部弹性理论的修正
引用本文:黄再兴,樊蔚勋.线性非局部弹性理论的修正[J].上海力学,1996,17(2):132-136.
作者姓名:黄再兴  樊蔚勋
作者单位:南京航空航天大学 (黄再兴),南京航空航天大学(樊蔚勋)
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。

关 键 词:非局部  弹性理论  局部化残余  线性

ON MODIFICATION OF THE LINEAR NONLOCAL ELASTICITY
Huang Zaixin Fan Weixun.ON MODIFICATION OF THE LINEAR NONLOCAL ELASTICITY[J].Chinese Quarterly Mechanics,1996,17(2):132-136.
Authors:Huang Zaixin Fan Weixun
Institution:Nanjing University of Aeronautics and Astronautics
Abstract: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.
Keywords:nonlocal elasticity  local residual  stress boundary condition  
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