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Applied Mathematics and Mechanics

, Volume 20, Issue 10, pp 1099–1107 | Cite as

Investigation of a griffith crack subject to uniform tension using the non-local theory by a new method

  • Zhou Zhengong
  • Wang Biao
Article

Abstract

Field equations of the non-local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension. Then a set of dual-integral equations is solved using a new method, namely Schmidt's method. This method is more exact and more reasonable than Eringen's one for solving this kind of problem. Contrary to the solution of classical elasticity, it is found that no stress singularity is present at the crack tip. The significance of this results is that the fracture criteria are unified at both the macroscopic and the microscopic scales. The finite hoop stress at the crack tip depends on the crack length.

Key words

non-local theory Schmidt's method dual-integral equation 

CLC number

O345.19 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1999

Authors and Affiliations

  • Zhou Zhengong
    • 1
  • Wang Biao
    • 1
  1. 1.Center for Composite MaterialsHarbin Institute of TechnologyHarbinP R China

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