A shell theory with independent rotations for relaxed Biot stress and right stretch strain

DOI10.1007/s004660050287zbMath0909.73051OpenAlexW2013215713MaRDI QIDQ1129550

K. Wisniewski

Publication date: 7 April 1999

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004660050287

zbMATH Keywords

deformation gradientpolar decompositionthree-dimensional equationsTaylor approximationsdrilling rotationMooney-Rivlin incompressible materiallinear materialReissner kinematics

Mathematics Subject Classification ID

Membranes (74K15)

Related Items (13)

Biot Stress and Strain in Thin-Plate Theory for Large Deformations ⋮ The geometrically nonlinear Cosserat micropolar shear–stretch energy. Part I: A general parameter reduction formula and energy‐minimizing microrotations in 2D ⋮ Dilation-invariant bending of elastic plates, and broken symmetry in shells ⋮ Energies for elastic plates and shells from quadratic-stretch elasticity ⋮ Exact corotational shell for finite strains and fracture ⋮ Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom ⋮ Warping and in-plane twist parameters in kinematics of finite rotation shells ⋮ Wave-based method for free vibration analysis of orthotropic cylindrical shells with arbitrary boundary conditions ⋮ Geometrically exact shell theory from a hierarchical perspective ⋮ An alternative positional FEM formulation for geometrically nonlinear analysis of shells: Curved triangular isoparametric elements ⋮ Theory and FE analysis for structures with large deformation under magnetic loading ⋮ Kinematics of finite rotation shells with in-plane twist parameter ⋮ Quadratic-stretch elasticity

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