Applications of an energy-momentum tensor in nonlinear elastodynamics: Pseudomomentum and Eshelby stress in solitonic elastic systems

DOI10.1016/0022-5096(92)90035-ZzbMath0791.73017MaRDI QIDQ687305

Gérard A. Maugin

Publication date: 11 July 1994

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

zbMATH Keywords

conservation lawdispersive nonlinear elastic systems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) Soliton equations (35Q51)

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Cites Work

• The energy-momentum tensor and material uniformity in finite elasticity
• Nonlinear dynamics of oriented elastic solids. II: Propagation of solitons
• Generalized symmetries and constants of motion of evolution equations
• On conservation laws of continuum mechanics
• Propagation of fluxons on Josephson lines with impurities
• Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
• Existence of solitary waves in martensitic alloys
• The elastic energy-momentum tensor
• Theories of elasticity with couple-stress
• On first strain-gradient theories in linear elasticity
• The electroelastic energy–momentum tensor
• The force on an elastic singularity
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