期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 60, 期 6, 页码 1088-1102出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2012.02.009
关键词
Non-local elasticity; Gluing; Peridynamics; Long-range forces; Multi-scale
资金
- KAUST
- BOEING company
A method for coupling non-local continuum models with long-range central forces to local continuum models is proposed. First, a single unified model that encompasses both local and non-local continuum representations is introduced. This model can be purely non-local, purely local or a hybrid depending on the constitutive parameters. Then, the coupling between the non-local and local descriptions is performed through a transition (morphing) affecting only the constitutive parameters. An important feature is the definition of the morphing functions, which relies on energy equivalence. This approach is useful in large-scale modeling of materials that exhibit strong non-local effects. The computational cost can be reduced while maintaining a reasonable level of accuracy. Efficiency, robustness and basic properties of the approach are discussed using one- and two-dimensional examples. (C) 2012 Elsevier Ltd. All rights reserved.
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