Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (1): 45-54.

• Articles • Previous Articles     Next Articles

NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

Huang Zhixin, Fan Weixun, Huang Weiyang   

  1. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
  • Received:1995-03-23 Online:1997-01-18 Published:1997-01-18

Abstract: In the linear nonlocal elasticity theory, the solution to the boundary-value problemof the crack with a constant stress boundary condition does not exist. This problemhas been studied in this paper. The contents studicd contain of examining objectivity ofthe energy balance, deducing the constitutive equations of nonlocal thermoelasticbodics, and determining nonlocalforce and the linear nonlocal elasticity theory. Somenew results are obtained. Among them, the stress boundary condition derived from thelinear theory not only solves the problem mentioned at the beginning, but also containsthe model of molecular cohesive Stress on the shorp crack tip advanced by Barenblatt.

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