Conservation laws in linear viscoelastodynamics

DOI10.1007/BF00043587zbMath0585.73019OpenAlexW2080598200MaRDI QIDQ1070858

Qing Jiang

Publication date: 1986

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00043587

zbMATH Keywords

group of infinitesimal transformationslinear viscoelastodynamicsNoether's theorem on variational principles invariantrelation similar to the J-integraltwo conservation laws

Mathematics Subject Classification ID

Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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A general approach to conservation laws in viscoelasticity, On the generation of conservation laws in viscoelasticity, Renewal of basic laws and principles for polar continuum theories. X: Master balance law, Determination of the near-tip stress fields for the scattering of P-waves by a crack

Cites Work

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• Conservation laws in linear elasto-dynamics
• Variational principles for linear elastodynamics
• On a class of conservation laws in linearized and finite elastostatics
• Conformal identities for invariant second-order variational problems depending on a covariant vector field
• Variational principles in the linear dynamic theory of viscoelasticity