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Nonlocal constitutive laws generated by matrix functions: Lattice dynamics models and their continuum limits

  • Published:2014-07 Issue: Volume:80 Page:106-123
  • ISSN:0020-7225
  • Container-title:International Journal of Engineering Science
  • language:en
  • Short-container-title:International Journal of Engineering Science

Author:

Michelitsch Thomas M.,Collet Bernard,Wang Xingjun

Publisher

Elsevier BV

Subject

General Engineering,Mechanics of Materials,General Materials Science,Mechanical Engineering

Reference32 articles.

1. A generalization of the Korteweg–de-Vries equation for anharmonic lattices and vectorial solitons;Askar;International Journal of Engineering Science,1982

2. Lattice dynamical foundations of continuum theories, elasticity, piezoelectricity, viscoelasticity, plasticity;Askar,1985

3. Phonon dispersion relations in insulators;Bilz,1979

4. Dynamical theory of crystal lattices;Born,1954

5. Coupled transverse-longitudinal envelope modes in an atomic chain;Cadet;Journal of Physics C: Solid State Physics,1987

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1. Gradient continuum model of nonlocal metamaterials with long-range interactions;Physica Scripta;2022-12-19

2. Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice;Continuum Mechanics and Thermodynamics;2022-08-12

3. On the fundamental solution of the heat transfer problem in one-dimensional harmonic crystals;Continuum Mechanics and Thermodynamics;2020-09-06

4. Nonlinear Dynamics of Two-Dimensional Lattices with Complex Structure;Advanced Structured Materials;2020

5. Thermal processes in a one‐dimensional crystal with regard for the second neighbor interaction;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2019-06-28
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