Structure of the set of equilibrated loads in nonlinear elasticity and applications to existence and nonexistence

DOI10.1007/BF00043020zbMath0654.73029OpenAlexW1974361665MaRDI QIDQ1108845

Hervé Le Dret

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00043020

zbMATH Keywords

geometrical structurea priori nonexistenceproperty of transversalityset of equilibrated loadsSignorini's condition of compatibilityvector bundle structure

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Topology of vector bundles and fiber bundles (57R22) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items

Critical points in the energy of hyperelastic materials, Necessary conditions at the boundary for minimizers in incompressible finite elasticity, On the traction problem of dead loading in linear elasticity with initial stress, On the steady motion of a coupled system solid-liquid, Asymptotic behavior of constrained local minimizers in finite elasticity

Cites Work

• Symmetry and bifurcation in three-dimensional elasticity. II
• Constitutive laws and existence questions in incompressible nonlinear elasticity
• The role of Fredholm conditions in Signorini's perturbation method
• Symmetry and bifurcation in three-dimensional elasticity. I
• Nonexistence theorems in linearized elastostatics
• Non Existence theorems in linear elasticity theory
• Un teorema di esistenza ed unicità relativo alle equazioni dell'elastostatica isoterma per deformazioni finite