Stress resultant geometrically nonlinear shell theory with drilling rotations. I: A consistent formulation
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Publication:1913166
DOI10.1016/0045-7825(94)90003-5zbMath0849.73036OpenAlexW2064604748MaRDI QIDQ1913166
Publication date: 11 July 1996
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(94)90003-5
finite rotationslinearized theoryfinite deformation theory of three-dimensional continuumindependent rotation fieldshell normal
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Cites Work
- On drilling degrees of freedom
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- Lagrangian description and incremental formulation in the nonlinear theory of thin shells
- A \(C^ 0\)-anisoparameteric three-node shallow shell element
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- A triangular membrane element with rotational degrees of freedom
- A three-dimensional finite-strain rod model. II. Computational aspects
- A consient shell theory for finite deformations
- Nonlinear finite element analysis of shells. I. Three-dimensional shells
- A note on two-dimensional finite-deformation theories of shells
- Formulations of finite elasticity with independent rotations
- A nonlinear quadrilateral shell element with drilling degrees of freedom
- A drill rotation formulation for geometrically exact shells
- On the formulation of contact problems of shells and plates
- Finite element method - The natural approach
- Mixed finite element with drilling rotations for plane problems in finite elasticity
- On the accuracy of the asymptotic theory for cylindrical shells
- An excursion into large rotations
- Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects
- An introduction to continuum mechanics
- 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 compatible triangular element including vertex rotations for plane elasticity analysis
- A robust quadrilateral membrane finite element with drilling degrees of freedom
- An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
- Consistent linearization in mechanics of solids and structures
- Geometrically non‐linear method of incompatible modes in application to finite elasticity with independent rotations
- Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors
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