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Strain localization in two-dimensional lattices

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, , Citation A.V. Porubov et al 2020 J. Phys.: Conf. Ser. 1686 012036 DOI 10.1088/1742-6596/1686/1/012036

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alexey.porubov@gmail.com

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1 Institute for Problems in Mechanical Engineering, Bolshoy 61, V.O., Saint-Petersburg, Russia

2 Peter the Great St. Petersburg Polytechnic University (SPbPU), Polytechnicheskaya st., 29, Saint Petersburg Russia

3 Continuum Mechanics and Constitutive Theory, Technische Universitat Berlin, Einsteinufer 5, 10587 Berlin, Germany

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1742-6596/1686/1/012036

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.

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10.1088/1742-6596/1686/1/012036