Nonlinear model of deformation of crystal media with complex lattice: Mathematical methods of model implementation

DOI10.1177/1081286515572243zbMath1338.74026OpenAlexW2323279182MaRDI QIDQ2802504

An Bulygin, E. L. Aero, Yuri V. Pavlov

Publication date: 26 April 2016

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286515572243

zbMATH Keywords

nonlinear modelsine-Gordon equationcrystal latticeacoustic modeansatzfunctionally invariant solutionoptical mode

Mathematics Subject Classification ID

Crystalline structure (74E15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Nonlinear model of deformation of crystalline media allowing for martensitic transformations: plane deformation

Cites Work

• Nonlinear theory of localized and periodic waves in solids undergoing major rearrangements of their crystalline structure
• Strong thermoelastic and temperature waves in crystalline lattice
• Analytical solutions to detect the scheme dispersion for the coupled nonlinear equations
• Amplification of Nonlinear Strain Waves in Solids

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