The stress intensity factor for non-smooth fractures in antiplane elasticity
نویسندگان
چکیده
منابع مشابه
Energy Release Rate and Stress Intensity Factor in Antiplane Elasticity
In the setting of antiplane linearized elasticity, we show the existence of the stress intensity factor and its relation with the energy release rate when the crack path is a C curve. Finally, we show that the energy release rate is continuous with respect to the Hausdorff convergence in a class of admissible cracks.
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The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...
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The stress distribution on the tip of the cracks and the stress intensity factor on them are the main courses in the fracture mechanic. The stress intensity factor of the cracks with the different load exited and the different geometry are listed in the tables of the standard books. In all of them, the cracks are located in the central point of the plates. In the uniform edge loaded case, the c...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2012
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-012-0529-9