Open AccessStrain localization in two-dimensional lattices
Author(s) -
А. В. Порубов,
Ilya Antonov,
А. А. Соколов,
W. Müller
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1686/1/012036
Subject(s) - physics , traveling wave , plane wave , one dimensional space , classical mechanics , nonlinear system , mathematical analysis , wave equation , strain (injury) , shear (geology) , evolution equation , plane (geometry) , geometry , mathematics , optics , geology , quantum mechanics , medicine , petrology
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.