Energy-momentum tensors in elastostatics: Some reflections on the general theory

DOI10.1016/0022-5096(86)90022-0zbMath0581.73045OpenAlexW2011865742MaRDI QIDQ1067834

Rodney Hill

Publication date: 1986

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(86)90022-0

zbMATH Keywords

finite strainconservation lawstotal potential energyintegral identitieshomogeneous mediaEshelby's energy- momentum tensorsGreen-elastic continuuminterfacial dislocationsnew self-contained approachnotional variations of any kind of material heterogeneityStress jumps at phase boundaries

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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Cites Work

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• Interfacial operators in the mechanics of composite media
• The elastic energy-momentum tensor
• Applications of an energy-momentum tensor in non-linear elastostatics
• On the energy release rate in quasi-static elastic crack propagation
• On a class of conservation laws in linearized and finite elastostatics
• Conservation Laws and Energy-Release Rates
• The force on an elastic singularity