Some remarks on continuous dependence and uniqueness in finite elastostatics for unbounded domains

DOI10.1007/BF02337055zbMath0569.73042OpenAlexW2072818382MaRDI QIDQ1060890

Scarpetta, Edoardo

Publication date: 1985

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02337055

zbMATH Keywords

unbounded domaincontinuous dependencefinite elastostaticsnonconvex hypothesisweak hypothesis on behaviour at infinityweighted virtual work method

Mathematics Subject Classification ID

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

Cites Work

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• The weight function approach to uniqueness of viscous flows in unbounded domains
• On stability and uniqueness in finite elasticity
• Uniqueness in linear elastostatics for problems involving unbounded bodies
• Sufficient conditions for continuous dependence in nonlinear hyperelasticity
• Theorems of continuous dependence in elasticity for exterior domains
• Uniqueness theorems for finite elastodynamics
• Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
• Stability of general systems
• Energetic bounds in finite elasticity
• On continuous dependence in finite elasticity

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