On the wave propagation property in finite elasticity

DOI10.1017/S0308210500028341zbMath0739.73018OpenAlexW2119345188MaRDI QIDQ3980583

Remigio Russo, Paolo Maremonti

Publication date: 26 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500028341

zbMATH Keywords

finite elastodynamicsregular solutionsdisplacement problemfinite speed disturbancesmixed problem of linear elastodynamics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (1)

On the asymptotic behaviour of the solutions of the equations of linear elastodynamics in unbounded domains

Cites Work

• Energy inequalities and the domain of influence theorem in classical elastodynamics
• On uniqueness for the displacement problem in the dynamical theory of elasticity
• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• A uniqueness theorem for the displacement problem in finite elastodynamics
• An introduction to continuum mechanics
• Uniqueness theorems and the speed of propagation of signals in viscoelastic materials
• Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
• Finite amplitude waves in a homogeneous isotropic elastic solid

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