A continuous dependence result for a mixed boundary value problem in finite elastostatics
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Publication:600306
DOI10.1007/BF01176146zbMath0415.73019MaRDI QIDQ600306
Publication date: 1979
Published in: Acta Mechanica (Search for Journal in Brave)
large deformationsmixed boundary value problemtractionconstitutive inequalitycontinuous dependence of the strain energy on the given datafinite hyperelastostaticsplace
Stability in context of PDEs (35B35) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)
Related Items (6)
A continuous dependence result for one-dimensional nonlinear dielectrics ⋮ Continuous dependence results and a priori estimates in nonlinear micropolar elasticity ⋮ Sufficient conditions for continuous dependence in nonlinear hyperelasticity ⋮ On a minimum property in nonlinear elasticity ⋮ On the role of the strong ellipticity condition in nonlinear elasticity ⋮ On the continuous dependence of solutions on data in finite thermoelastostatics
Cites Work
- Variational methods in theoretical mechanics
- Integral estimates for the displacement and strain energy in nonlinear elasticity in terms of the body force
- Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
- Convexity conditions and existence theorems in nonlinear elasticity
- The elastic instability of a director rod
- An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements
- Primitive thermodynamics: a new look at the Clausius-Duhem inequality
- Linear elliptic differential systems and eigenvalue problems
- On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
- On the physical meaning of an uniqueness condition in finite elasticity
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