Strain localization in two-dimensional lattices

Author:

Porubov A.V.,Antonov I.D.,Sokolov A.A.,Müller W.H.

Abstract

Abstract Two-dimensional localized strain wave solutions of the nonlinear equation for shear waves in two-dimensional lattices are studied. The corresponding equation does not possess an invariance in one of the spatial direction while its exact plane traveling wave solution does not reflect that. However, the numerical simulation of a two-dimensional localized wave reveals a non-symmetric evolution.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference6 articles.

1. Change of entropy for the one-dimensional ballistic heat equation: Sinusoidal initial perturbation;Sokolov;Physical Review E,2019

2. Two-dimensional waves in extended square lattice;Porubov;Int. J. NonLinear Mech.,2018

3. Nonlinear Dynamics of Two-Dimensional Lattices with Complex Structure;Porubov;Nonlinear Wave Dynamics of Materials and Structures, Advanced Structured Materials,2020

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