Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: Theoretical and computational analysis
DOI10.1016/S0045-7825(98)00212-6zbMath0957.74047WikidataQ126802760 ScholiaQ126802760MaRDI QIDQ1964282
Peter Wriggers, Robert Eberlein
Publication date: 25 March 2001
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
variational approachesthin shellsthick shellreduced integration techniqueenhanced assumed strain methodassumed natural strain conceptcomputational plasticity algorithmsfinite elastoplastic strainsisoparametric conceptisotropic stress responsequadrilateral 4-node mixed finite shell elementsshell intersections
Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Shells (74K25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
- Finite-rotation elements for the nonlinear analysis of thin shell structures
- Finite rotations in the description of continuum deformation
- Nonlinear finite element analysis of shells. I. Three-dimensional shells
- On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching
- On a stress resultant geometrically exact shell model. Part V: Nonlinear plasticity: Formulation and integration algorithms
- A nonlinear theory for sandwich shells including the wrinkling phenomenon
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- 'Best' transverse shearing and stretching shell theory for nonlinear finite element simulations
- On enhanced strain methods for small and finite deformations of solids
- A note on enhanced strain methods for large deformations
- An efficient formulation of integration algorithms for elastoplastic shell analysis based on layered finite element approach
- Large elasto-plastic finite element analysis of solids and shells with the enhanced assumed strain concept
- A comparison of three-dimensional continuum and shell elements for finite plasticity
- A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
- On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory
- An excursion into large rotations
- An axisymmetrical quasi-Kirchhoff-type shell element for large plastic deformations
- On a stress resultant geometrically exact shell model. VII: Shell intersections with 5/6-DOF finite element formulations
- Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
- Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects
- Finite elastoplastic deformations of space-curved membranes
- On configuration-dependent loading
- Constitutive analysis of elastic-plastic crystals at arbitrary strain
- On the formulation of enhanced strain finite elements in finite deformations
- A FORMULATION OF THE QS6 ELEMENT FOR LARGE ELASTIC DEFORMATIONS
- Displacement dependent pressure loads in nonlinear finite element analyses
- A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
- Pressure Loaded Structures under Large Deformations
- [https://portal.mardi4nfdi.de/wiki/Publication:3727501 Oberfl�chenorientierte Schalentheorien endlicher Verschiebungen]
- Shell theory versus degeneration—a comparison in large rotation finite element analysis
- Genuinely resultant shell finite elements accounting for geometric and material non‐linearity
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- An investigation of a finite rotation four node assumed strain shell element
- A non-conforming element for stress analysis
- A simple and efficient finite element for plate bending
- Thin shells with finite rotations formulated in biot stresses: Theory and finite element formulation
- A fully non‐linear axisymmetrical quasi‐kirchhoff‐type shell element for rubber‐like materials
- Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
- A geometrical non-linear brick element based on the EAS-method
- A quadrilateral mixed finite element with two enhanced strain modes
- A continuum‐based shell theory for non‐linear applications
- A finite element method for stability problems in finite elasticity
- An assumed strain approach avoiding artificial thickness straining for a non‐linear 4‐node shell element
- A class of mixed assumed strain methods and the method of incompatible modes
- EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elements
- On the theory of thin elastic shells
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
- Reduced integration technique in general analysis of plates and shells