Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors
From MaRDI portal
Publication:5661234
DOI10.1115/1.3422833zbMath0248.73043OpenAlexW1974140920MaRDI QIDQ5661234
D. A. Danielson, James G. Simmonds
Publication date: 1972
Published in: Journal of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1115/1.3422833
Related Items
Indeterminacy of first order stress functions and the stress- and rotation-based formulation of linear elasticity ⋮ New representations for the curvature tensor of a surface with application to theories of elastic shells ⋮ Nonlinear shell theory on the basis of the concept of finite rotation ⋮ Biot Stress and Strain in Thin-Plate Theory for Large Deformations ⋮ Nonlinear problems of shell theory and their solution methods (review) ⋮ Large displacement analysis of thin plates and shells using a flat facet finite element formulation ⋮ Stress resultant geometrically nonlinear shell theory with drilling rotations. I: A consistent formulation ⋮ On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams ⋮ On shells of revolution with the Love-Kirchhoff hypotheses ⋮ An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation ⋮ Dual‐mixed p and hp finite elements for elastic membrane problems ⋮ Algorithms for nonlinear contact constraints with application to stability problems of rods and shells ⋮ On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory ⋮ Stability and postbuckling analysis of nonlinear structures ⋮ A new approach to the fundamental theorem of surface theory ⋮ Finite rotation analysis and consistent linearization using projectors ⋮ Torsional boundary layer effects in shells of revolution undergoing large axisymmetric deformation ⋮ Poincaré's equations for Cosserat media: application to shells ⋮ Pure gauge theory of the Cosserat surface ⋮ Duality in nonlinear theory of shells ⋮ Method of constructing deformation characteristics in nonlinear shell theory ⋮ On generalized Cosserat-type theories of plates and shells: a short review and bibliography ⋮ Interfacial dynamics for Stokes flow. ⋮ A method of shell theory in determination of the surface from components of its two fundamental forms ⋮ A further note on finite-strain force and moment stress elasticity ⋮ On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization ⋮ A new approach to the fundamental theorem of surface theory, by means of the Darboux-Vallée-Fortuné compatibility relation ⋮ Pure strain deformations of surfaces ⋮ Thin shells with finite rotations formulated in biot stresses: Theory and finite element formulation ⋮ A material momentum balance law for shells and plates with application to phase transformations and adhesion ⋮ Local and nonlocal buckling of Mooney-Rivlin rods ⋮ Finite rotations in the description of continuum deformation ⋮ A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus ⋮ A unified formulation of small-strain corotational finite elements. I: Theory