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)
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)
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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