Integral bounds on the strain energy for the traction problem in finite elasticity

DOI10.1007/BF00250985zbMath0415.73047OpenAlexW2073282976MaRDI QIDQ600315

Shlomo Breuer, Joseph J. Roseman

Publication date: 1978

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250985

zbMATH Keywords

strain energy functionfinite elasticityFritz John's integral estimationsinfinitesimal elasticitythird order Taylor expansiontraction boundary value problem

Mathematics Subject Classification ID

Related Items (4)

A continuous dependence result for one-dimensional nonlinear dielectrics ⋮ A bound on the strain energy for the traction problem in finite elasticity with localized non-zero surface data ⋮ Continuous dependence results and a priori estimates in nonlinear micropolar elasticity ⋮ On the continuous dependence of solutions on data in finite thermoelastostatics

Cites Work

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• Integral estimates for the displacement and strain energy in nonlinear elasticity in terms of the body force
• Rotation and strain
• A priori bounds in the First boundary value problem in elasticity
• A priori estimates, geometric effects and asymptotic behavior
• Uniqueness of non-linear elastic equilibrium for prescribed boundary displacements and sufficiently small strains
• Upper estimate of the potential elastic energy of a cylinder
• A Priori Bounds for the Displacement Problem in Viscoelasticity

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