Investigation of a Griffith crack subject to anti-plane shear by using the non-local theory |
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| Institution: | 1. P.O. Box 2147, Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P.R. China;1. Department of Mathematics, Jadavpur University, Kolkata - 32, West Bengal, India;2. Department of Mathematics, University of Gour Banga, Malda - 732103, West Bengal, India;1. Commissariat à l’Energie Atomique et aux Energies Alternatives, DRT/LITEN/DTNM/SERE/LTE, 17, rue des Martyrs, 38054 Grenoble Cedex 9, France;2. HotBlock On Board, 7, Parvis Louis Néel, 38000 Grenoble, France |
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| 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 the anti-plane shear. Then a set of dual-integral equations is solved using Schmidts method. Contrary to the classical elasticity solution, it is found that no stress singularity is present at the crack tip. The significance of this result is that the fracture criteria are unified at both the macroscopic and the microscopic scales. |
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