Lattice dynamics from a continuum viewpoint

被引：28

作者：

Charlotte, Miguel ^{[1
]}

Truskinovsky, Lev ^{[2
]}

机构：

[1] Univ Toulouse, ISAE, INSA, UPS,EMAC,Inst Clement ADER ICA, F-31055 Toulouse, France

[2] Ecole Polytech, Mecan Solides Lab, F-91128 Palaiseau, France

来源：

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2012年 / 60卷 / 08期

关键词：

Lattice dynamics; Quasi-continuum modeling; Nonlocal elasticity; Discrete to continuum; Multiscale modeling; Non-Newtonian inertia; Meta-materials; QUASI-CONTINUUM; BRIDGING SCALE; ELASTIC THEORY; MODELS; APPROXIMATION; SIMULATION; DERIVATION;

D O I：

10.1016/j.jmps.2012.03.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We develop a novel continuum description of lattice dynamics for a particle chain with nearest neighbor interactions. Our continuum model interpolates discrete solutions and allows one to deal adequately with singular and impact loadings. The resulting theory is local in space and nonlocal in time. It is characterized by a nontrivial hereditary structure which blends inertial and elastic forces. The proposed methodology can be used to build continuum approximations for lattice dynamics which incorporate successively finer scales. It can also serve as a seamless interface between discrete and continuum elasticity theories. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1508 / 1544

页数：37

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