Line Crack Subject to Antiplane Shear.
PRINCETON UNIV NJ DEPT OF CIVIL ENGINEERING
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Field equations of nonlocal elasticity are solved to determine the state of stress in a plate with a line crack subject to a constant antiplane shear. Contrary to the classical elasticity solution, it is found that no stress singularity is present at the crack tip. By equating the maximum shear stress that occurs at the crack tip to the shear stress that is necessary to break the atomic bonds, the critical value of the applied shear is obtained for the initiation of fracture. If the concept of the surface tension is used, one is able to calculate the cohesive stress for brittle materials. Author
- Theoretical Mathematics