On conservation laws in geometrically nonlinear elasto-dynamic field of non-homogeneous materials

DOI10.1016/j.ijengsci.2006.05.014zbMath1213.74153OpenAlexW2041096460MaRDI QIDQ538693

Li Huanhuan, Shi Weichen, Gao Qinghai

Publication date: 25 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2006.05.014

zbMATH Keywords

conservation lawNoether's theoremnon-homogeneous materialLie's infinitesimal criterionnonlinear elasto-dynamic fieldsymmetry-transformation

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99)

Related Items

Path-independent integral for the sharp V-notch in longitudinal shear problem ⋮ Higher order conservation integrals in elasticity and application ⋮ Conservation integrals in the sense of Noether's theorem for an analytic function on a physical plane and application ⋮ Non-classical laws with conserved quantities from the arbitrary functions included in general solution to elasticity and application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conservation laws in nonlinear elastodynamics
• Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• On conservation laws of continuum mechanics
• Balance laws of micromorphic continua revisited
• Theory of elastic inhomogeneities in electromagnetic materials
• Pseudomomentum and material forces in inhomogeneous materials. (Application to the fracture of electromagnetic materials in electromagnetoelastic fields)
• The elastic energy-momentum tensor
• Conservation laws in linear elasto-dynamics
• Conservation laws for nonhomogeneous Bernoulli-Euler beams
• Conservation laws for non-homogeneous Mindlin plates
• Conservation laws in non-homogeneous electro-magneto-elastic materials.
• Conservation laws in nonhomogeneous plane elastostatics
• Conservation laws of a decagonal quasicrystal in elastodynamics
• Conservation laws in linear elasticity based upon divergence transformations
• On the dynamic energy release rate in functionally graded materials
• Conservation laws in elasticity. I: General results
• On a class of conservation laws in linearized and finite elastostatics
• Energy Release Rates and Related Balance Laws in Linear Elastic Defect Mechanics