期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 322, 期 -, 页码 42-57出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2017.03.043
关键词
Particle methods; Meshless methods; Peridynamic; Nonlocal; Elasticity
资金
- U.S. Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
Peridynamic correspondence material models provide a way to combine a material model from the local theory with the inherent capabilities of peridynamics to model long-range forces and fracture. However, correspondence models in a typical particle discretization suffer from zero-energy mode instability. These instabilities are shown here to be an aspect of material stability. A stability condition is derived for state-based materials starting from the requirement of potential energy minimization. It is shown that all correspondence materials fail this stability condition due to zero-energy deformation modes of the family. To eliminate these modes, a term is added to the correspondence strain energy density that resists deviations from a uniform deformation. The resulting material model satisfies the stability condition while effectively leaving the stress tensor unchanged. Computational examples demonstrate the effectiveness of the modified material model in avoiding zero-energy mode instability in a peridynamic particle code. (C) 2017 Elsevier B.V. All rights reserved.
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