Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations |
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Authors: | Sun Wei Fish Jacob Zhang Ga |
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Affiliation: | 1.State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China ;2.Civil Engineering and Engineering Mechanics, Columbia University, New York, NY, 10027, USA ; |
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Abstract: | Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations, including crack propagation and strain localization is developed. By this approach, a peridynamic model capable of effectively treating strong and weak discontinuities is superimposed in the critical regions over an underlying finite element mesh placed over the entire problem domain. A rigorous variational framework of coupling local finite element and nonlocal peridynamics approximations that is free of blending parameters is developed. Several numerical examples involving mixed-model fracture, three-dimensional adaptive crack propagation and strain localization induced ductile failure demonstrate the rational and efficiency of the proposed superposition-based coupling approach. |
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