Solitary waves in micropolar elastic crystals

DOI10.1016/0020-7225(86)90158-8zbMath0613.73004OpenAlexW2004652813MaRDI QIDQ1819582

A. Miled, Gérard A. Maugin

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90158-8

zbMATH Keywords

stabilitysolitary wavesone-dimensionalexact dynamical solutionsferroelectricslongitudinal displacementdomain structureBloch wallangle of microrotationBloch and Néel wallsexact-closed solutionsferromagneticsmicropolar elastic crystalsNeel wallnonlinear theory of micropolar continuapseudo dispersion relationstransverse displacement component

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Electromagnetic effects in solid mechanics (74F15) Polar materials (74A35)

Related Items

The Boussinesq problem in dipolar gradient elasticity ⋮ On the exchange of energy in coupled Klein --- Gordon equations ⋮ Solitons in elastic solids (1938--2010) ⋮ On the propagation of nonlinear travelling waves in an incompressible elastic plate ⋮ Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity ⋮ Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations ⋮ Nonlinear wave propagation in micropolar media. I: The general theory ⋮ Nonlinear dynamics of oriented elastic solids. I: Basic equations ⋮ Nonlinear dynamics of oriented elastic solids. II: Propagation of solitons ⋮ Nonlinear wave modulation in micropolar elastic media. I: Longitudinal waves ⋮ On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity ⋮ Soliton complex dynamics in strongly dispersive medium. ⋮ Solitonic structures in KdV-based higher-order systems. ⋮ Dislocation annihilation and acoustic emission during plastic deformation of crystals ⋮ Solitary waves in micropolar elastic crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theories for sine-Gordon soliton dynamics
• Nonlinear dynamics of oriented elastic solids. II: Propagation of solitons
• Review article on wave motion in magnetizable deformable solids
• Solitary waves in micropolar elastic crystals
• Micropolar media. I: The classical theory. II: The relativistic theory
• On the nonlinear theory of rods
• Coupled acoustic–optic modes in deformable ferroelectrics
• Nonlinear stability problems for the sine-Gordon equation