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Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations

  • Wei Sun
  • Jacob Fish
  • Ga ZhangEmail author
Computational Models for 'Complex' Materials and Structures, beyond the Finite Elements


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.


Superposition-based coupling NOSBPD FEM Material failure 



The study is funded by National Key R&D Program of China (2018YFC1508503).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Hydroscience and EngineeringTsinghua UniversityBeijingChina
  2. 2.Civil Engineering and Engineering MechanicsColumbia UniversityNew YorkUSA

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