Numerical simulation of mode-III fracture incorporating interfacial mechanics
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Continuum surface methods, including the Sendova–Walton theory, offer a novel approach to fracture modeling in which boundary mechanics are used to augment the classical linear elastic fracture mechanics model for improved prediction of material behavior near fracture surfaces. These methods would be extremely useful in design simulations, but would require numerical implementation which to date has not been available. This has not been previously addressed due to the higher-order tangential derivatives appearing in the fracture surface boundary conditions which make standard implementation techniques, such as the finite element method, a challenge to implement. We propose a method for this implementation which involves reformulating the fracture boundary conditions to remove these higher-order derivatives in the case of mode-III fracture. We also present the initial results of our finite element implementation, which verify the improved stress and displacement field predictions near fracture surfaces.
KeywordsSurface tension Continuum surface methods Sendova–Walton fracture theory Mode-III fracture
This work was supported by the Air Force Office of Scientific Research project 12RX13COR.
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