On the work and energy theorem for unbounded elastic bodies

DOI10.1007/BF00041987zbMath0564.73022OpenAlexW1995936538MaRDI QIDQ1058335

Remigio Russo, Bruno Carbonaro

Publication date: 1985

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041987

zbMATH Keywords

weight function methodacoustic tensorwork and energy theoremgrow at large spatial distance from a fixed originsymmetric and positive semi-definite elastic tensorunbounded region of space

Mathematics Subject Classification ID

Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99)

Related Items (4)

Some examples of nonuniqueness of solutions to the equation of linear elastodynamics ⋮ On the asymptotic behaviour of the solutions of the equations of linear elastodynamics in unbounded domains ⋮ Stability and related results in linear elastodynamics on unbounded regions ⋮ Energy inequalities and the domain of influence theorem in classical elastodynamics

Cites Work

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• Energy inequalities and the domain of influence theorem in classical elastodynamics
• The weight function approach to uniqueness of viscous flows in unbounded domains
• Classical elastodynamics as a linear symmetric hyperbolic system
• On some classical theorems in micropolar elasticity
• Uniqueness in classical elastodynamics
• Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
• On the growth of solutions of quasi‐linear parabolic equations

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