Duality in nonlinear theory of shells

DOI10.1016/S0020-7225(98)00137-2zbMath1210.74119MaRDI QIDQ532327

Roger Valid

Publication date: 27 April 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25)

Related Items (1)

On Lagrange-Euler formulations for fluid-structure interactions

Cites Work

• Buckling equations for elastic shells with rotational degrees of freedom undergoing finite strain deformation
• On large strain deformations of shells
• A justification of the Marguerre-von Kármán equations
• On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching
• Compatibility equations for large deformations
• Restrictions on nonlinear constitutive equations for elastic shells
• The stationary principle of complementary work in non-linear theory of elasticity
• A new variational principle for finite elastic displacements
• Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells—I
• A current trend in shell theory: Constrained geometrically nonlinear Kirchhoff-Love type theories based on polar decomposition of strains and rotations
• An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
• On the Principle of Stationary Complementary Energy in the Nonlinear Theory of Elasticity
• Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors
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