A morphing strategy to couple non-local to local continuum mechanics
A morphing strategy to couple non-local to local continuum mechanics
复制标题
DOI：
10.1016/j.jmps.2012.02.009
复制
发表时间：
2012-06-01
影响因子：
5.3
通讯作者：
Askari, Abe
中科院分区：
文献类型：
--
作者：
Lubineau, Gilles;Azdoud, Yan;Askari, Abe
提出了一种将具有远程中心力的非局部连续介质模型耦合到局部连续介质模型的方法。首先，引入了一个包含本地和非本地连续统表示的单一统一模型。根据本构参数的不同，该模型可以是纯非局域的、纯局域的或混合的。然后，通过仅影响本构参数的转变(变形)来执行非局部描述和局部描述之间的耦合。一个重要的特征是变形函数的定义，它依赖于能量的等价性。此方法在对表现出强烈非局部效应的材质进行大规模建模时非常有用。在保持合理的精度水平的同时，可以降低计算成本。通过一维和二维算例讨论了该方法的效率、稳健性和基本性质。(C)2012爱思唯尔有限公司。保留所有权利。
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.