Symmetries and conversation laws in micropolar elasticity

DOI10.1016/0020-7225(90)90084-VzbMath0715.73003OpenAlexW2072260698MaRDI QIDQ751875

Giuseppe Saccomandi, Edvige Pucci

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90084-v

zbMATH Keywords

rotationsinvariancescalingNoether's theoremmicrorotationaddition of solutionsconservation of energy momentum stresscoordinates translationgeometric symmetrieslinear theory of isotropic micropolar elastostaticset of generators of conservation laws

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Crystalline structure (74E15) Optimization of other properties in solid mechanics (74P10) Polar materials (74A35) Theory of constitutive functions in solid mechanics (74A20)

Related Items

Lie point symmetries, conservation and balance laws in linear gradient elastodynamics, On conservation and balance laws in micromorphic elastodynamics, Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples, Lie point symmetries and conservation laws in microstretch and micromorphic elasticity, Conservation and balance laws in linear elasticity of grade three, Complementary energy release rates and dual conservation integrals in micropolar elasticity

Cites Work

• Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• The elastic energy-momentum tensor
• Conservation laws in linear elasto-dynamics
• Nonlinear theory of simple micro-elastic solids. I
• On a class of conservation laws in linearized and finite elastostatics
• Micro-structure in linear elasticity
• Unnamed Item
• Unnamed Item
• Unnamed Item