On conservation laws in viscoelastostatics

DOI10.1007/BF01177119zbMath0581.73042OpenAlexW2321490767MaRDI QIDQ1067832

B. George

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01177119

zbMATH Keywords

conservation lawsfunctionals are invariant under a group of infinitesimal transformationslinear viscoelastostaticsNoether's theorem on variational principlesviscoelastic generalization of Rice's J-integral

Mathematics Subject Classification ID

Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items

A general approach to conservation laws in viscoelasticity ⋮ On the generation of conservation laws in viscoelasticity ⋮ On a class of conservation laws in linear thermoviscoelastostatics ⋮ Determination of the near-tip stress fields for the scattering of P-waves by a crack

Cites Work

• On the linear theory of viscoelasticity
• Conservation laws in linear elasto-dynamics
• Variational principles for linear elastodynamics
• On a class of conservation laws in linearized and finite elastostatics
• Conservation Laws and Energy-Release Rates