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

Huang Zaixin; Fan Weixun; Huang Weiyang

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(1): 45-54

Huang Zaixin, Fan Weixun, Huang Weiyang. New Points of View on the Nonlocal Field Theory and Their Applications to the Fracture Mechanics (Ⅰ)——Fundamental Theory[J]. Applied Mathematics and Mechanics, 1997, 18(1): 45-54.

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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

Received Date: 1995-03-23
Publish Date: 1997-01-15

Abstract

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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References(19)

References

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