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A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fracture in Brittle Materials

Yongwei Wang1, Fei Han2,*, Gilles Lubineau1,*
1 King Abdullah University of Science and Technology (KAUST), Physical Science and Engineering Division, COHMAS Laboratory, Thuwal, 23955-6900, Saudi Arabia.
2 State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian, 116023, China.
∗ Corresponding Authors: Fei Han. Emai: ;
  Gilles Lubineau. Email: .
(This article belongs to this Special Issue: Recent Developments on Peridynamics)

Computer Modeling in Engineering & Sciences 2019, 121(2), 399-423. https://doi.org/10.32604/cmes.2019.07192

Abstract

Classical continuum mechanics which leads to a local continuum model, encounters challenges when the discontinuity appears, while peridynamics that falls into the category of nonlocal continuum mechanics suffers from a high computational cost. A hybrid model coupling classical continuum mechanics with peridynamics can avoid both disadvantages. This paper describes the hybrid model and its adaptive coupling approach which dynamically updates the coupling domains according to crack propagations for brittle materials. Then this hybrid local/nonlocal continuum model is applied to fracture simulation. Some numerical examples like a plate with a hole, Brazilian disk, notched plate and beam, are performed for verification and validation. In addition, a peridynamic software is introduced, which was recently developed for the simulation of the hybrid local/nonlocal continuum model.

Keywords

Peridynamics, hybrid model, adaptive coupling, fracture simulation, morphing function, numerical discretization.

Cite This Article

Wang, Y., Han, F., Lubineau, G. (2019). A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fracture in Brittle Materials. CMES-Computer Modeling in Engineering & Sciences, 121(2), 399–423.

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This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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