关于非局部场论的几个新观点及其在断裂力学中的应用(Ⅰ)──基本理论部分

黄再兴; 樊蔚勋; 黄维扬

关于非局部场论的几个新观点及其在断裂力学中的应用(Ⅰ)──基本理论部分

南京航空航天大学, 南京 210016

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出版历程
- 收稿日期: 1995-03-23
- 刊出日期: 1997-01-15

New Points of View on the Nonlocal Field Theory and Their Applications to the Fracture Mechanics (Ⅰ)——Fundamental Theory

Nanjing University of Aeronautics and Astronatutics, Nanjing 210016, P. R. China

摘要

摘要: 在线性非局部弹性理论中,具有均匀常应力边界的裂纹混合边界值问题的解是不存在的.本文从非局部场论的基本理论出发针对这一问题进行了研究.内容包括:对非局部能量守恒定律的客观性的考察,非局部热弹性体本构方程的推导,非局部体力的确定以及线性化理论,得到了一些新结果.其中,在线性化理论中所推出的应力边界条件不仅解决了本摘要开头所提到的问题,而且自然地包括了Barenblatt裂纹尖端的分子内聚力模型.
- 非局部场论 /
- 本构方程 /
- 应力边界条件 /
- 裂纹混合边界值问题
Abstract: In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist. This problem has been studied in this paper. The contents studicd contain of examining objectivity of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocalforce and the linear nonlocal elasticity theory. Some new results are obtained. Among them, the stress boundary condition derived from the linear theory not only solves the problem mentioned at the beginning, but also contains the model of molecular cohesive stress on the shorp crack tip advanced by Barenblatt.
- nonlocal field theory /
- localization residuals /
- constitutive equations /
- stress boundary conditions

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参考文献(19)

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