Conservation laws of linear elasticity in stress formulations

DOI10.1098/rspa.2004.1347zbMath1145.74315OpenAlexW2144784797WikidataQ57945241 ScholiaQ57945241MaRDI QIDQ5422658

Anurag Gupta, Shaofan Li, Xanthippi Markenscoff

Publication date: 30 October 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1347

zbMATH Keywords

ElasticityNoether's theorempath-independent integrals

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stress concentrations, singularities in solid mechanics (74G70) Stress (74A10)

Related Items (11)

Basis functions for residual stresses ⋮ Equivalence of formulations for problems in elasticity theory in terms of stresses ⋮ How to Formulate the Initial-Boundary-Value Problem of Elastodynamics in Terms of Stresses? ⋮ On dual configurational forces ⋮ An anisotropic elastic formulation for configurational forces in stress space ⋮ Lie symmetry and conservation laws for magneto-static magnetic shape memory alloys system ⋮ Generalized compatibility equations for tensors of high ranks in multidimensional continuum mechanics ⋮ Higher order conservation integrals in elasticity and application ⋮ General solutions of weakened equations in terms of stresses in the theory of elasticity ⋮ Configurational balance laws for incompatibility in stress space ⋮ On configurational compatibility and multiscale energy momentum tensors

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