Normal configurations and the nonlinear elastostatic problems of bending, torsion, expansion, and eversion for compressible bodies

DOI10.1007/BF00385969zbMath0728.73019OpenAlexW1989697227MaRDI QIDQ805343

N. E. Zubov

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf00385969

zbMATH Keywords

inhomogeneousisotropiclamina surfacesnonuniform structurestransversally isotropic elastic materials

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (8)

Reductions due to material constraint and material symmetry on equilibrium problems of laminated and fibrillar bodies ⋮ Some elastodynamic problems for laminated and fibrillar bodies ⋮ Homogeneous monotropic elastic rods: Normal uniform configurations and universal solutions ⋮ Finite bending of hyperelastic beams with transverse isotropy generated by longitudinal porosity ⋮ Some equilibrium problems for compressible, anisotropic, laminated nonlinearly elastic bodies ⋮ The bending of beams in finite elasticity ⋮ The bending of fully nonlinear beams. Theoretical, numerical and experimental analyses ⋮ Some equilibrium problems for fibrillar bodies

Cites Work

• Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders
• Finite strain solutions in compressible isotropic elasticity
• Steady universal motions of Rivlin-Ericksen fluids
• Proof that motions obtained in the preceding paper by Marris are universal for all incompressible isotropic simple materials
• Universal solutions for general and area-preserving isotropic elastic membranes
• Universal solutions for isotropic elastic membranes
• Universal solutions for incompressible laminated bodies
• Deformations possible in every isotropic, incompressible, perfectly elastic body
• On the everted state of spherical and cylindrical shells
• Large deformation possible in every isotropic elastic membrane
• General Solutions in the Hydrostatic Theory of Liquid Crystals
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• Large elastic deformations of isotropic materials. V. The problem of flexure
• Deformations Possible in Every compressible, Isotropic, Perfectly Elastic Material

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