A morphing strategy to couple non-local to local continuum mechanics

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• 作者：Gilles Lubineau^a ; ^{gilles.lubineau@kaust.edu.sa} ; Yan Azdoud^a ; Fei Han^a ; Christian Rey^b ; Abe Askari^c
• 关键词：Non-local elasticity ; Gluing ; Peridynamics ; Long-range forces ; Multi-scale
• 刊名：Journal of the Mechanics and Physics of Solids
• 出版年：2012
• 期刊代码：111_00225096
• 类别：et
• 出版时间：June, 2012
• 卷：60
• 期：6
• 页码：1088-1102
• 文件大小：1060 K

摘要

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.