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

共 50 条

[1] Rough sets and matroids from a lattice-theoretic viewpoint
Li, Xiaonan
Yi, Huangjian
Liu, Sanyang
INFORMATION SCIENCES, 2016, 342 : 37 - 52
[2] Multicomponent lattice Boltzmann model from continuum kinetic theory
Shan, Xiaowen
PHYSICAL REVIEW E, 2010, 81 (04):
[3] MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT
Bellomo, Nicola
Piccoli, Benedetto
Tosin, Andrea
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2012, 22
[4] Nonlocal constitutive laws generated by matrix functions: Lattice dynamics models and their continuum limits
Michelitsch, Thomas M.
Collet, Bernard
Wang, Xingjun
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2014, 80 : 106 - 123
[5] Continuum modeling of cooperative traffic flow dynamics
Ngoduy, D.
Hoogendoorn, S. P.
Liu, R.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (13) : 2705 - 2716
[6] DISCRETE-TO-CONTINUUM LINEARIZATION IN ATOMISTIC DYNAMICS
Friedrich, Manuel
Seitz, Manuel
Stefanelli, Ulisse
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2025, 45 (03) : 847 - 874
[7] Effect of porous structural characteristics on the thermal conductivity of mesoporous silica by combined molecular dynamics and lattice dynamics methods
Huang, Chao
Cui, Liu
Wei, Gaosheng
Xu, Meiyang
Cheng, Yu
Du, Xiaoze
JOURNAL OF NON-CRYSTALLINE SOLIDS, 2025, 657
[8] Lattice-Enhanced Fano Resonances from Bound States in the Continuum Metasurfaces
Tan, Thomas C. W.
Plum, Eric
Singh, Ranjan
ADVANCED OPTICAL MATERIALS, 2020, 8 (06):
[9] From molecular systems to continuum solids: A multiscale structure and dynamics
Tong, Qi
Lia, Shaofan
JOURNAL OF CHEMICAL PHYSICS, 2015, 143 (06)
[10] Lattice dynamics of PbTe polymorphs from first principles
Kong, Fanjie
Liu, Yanhua
Wang, Baolin
Wang, Yanzong
Wang, Lili
COMPUTATIONAL MATERIALS SCIENCE, 2012, 56 : 18 - 24

← 1 2 3 4 5 →