A quadrilateral shell element with degree of freedom to represent thickness-stretch
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Publication:1705144
DOI10.1007/s00466-016-1364-1zbMath1398.74426OpenAlexW2560972284WikidataQ113327450 ScholiaQ113327450MaRDI QIDQ1705144
Takahiro Yamada, Takeki Yamamoto, Kazumi Matsui
Publication date: 14 March 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-016-1364-1
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Shells (74K25) Membranes (74K15)
Related Items (5)
Methods and guidelines for the choice of shell theories ⋮ A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation ⋮ Numerical procedure to couple shell to solid elements by using Nitsche's method ⋮ A non-standard finite element method for dynamical behavior of cylindrical classical shell model ⋮ 8-node unsymmetric distortion-immune element based on Airy stress solutions for plane orthotropic problems
Cites Work
- A novel versatile multilayer hybrid stress solid-shell element
- A global-local discontinuous Galerkin shell finite element for small-deformation analysis of multi-layered composites
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element
- A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
- Resultant-stress degenerated-shell element
- Nonlinear finite element analysis of shells. I. Three-dimensional shells
- Nonlinear finite element analysis of shells. II. Two-dimensional shells
- On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching
- A 9-node mixed shell element based on the Hu-Washizu principle
- Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
- A note on enhanced strain methods for large deformations
- Springback prediction for sheet metal forming process using a 3D hybrid membrane/shell method.
- Geometrically-exact sandwich shells: The static case
- Multilayer shells: Geometrically-exact formulation of equations of motion
- A new shell element accounting for through-thickness deformation
- A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
- Nonlinear finite element shell formulation accounting for large membrane strains
- Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: Theoretical and computational analysis
- A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains
- Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strains
- An enhanced strain 3D element for large deformation elastoplastic thin-shell applications
- A robust nonlinear solid shell element based on a mixed variational formulation
- A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
- Extension of the ?solid-shell? concept for application to large elastic and large elastoplastic deformations
- 3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL
- A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
- A large deformation solid-shell concept based on reduced integration with hourglass stabilization
- A mixed shell formulation accounting for thickness strains and finite strain 3d material models
- A multi-director formulation for nonlinear elastic-viscoelastic layered shells
- Generalization of selective integration procedures to anisotropic and nonlinear media
- A systematic development of ‘solid-shell’ element formulations for linear and non-linear analyses employing only displacement degrees of freedom
- Consistent discretization of thickness strains in thin shells including 3D-material models
- Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
- A refined analysis of laminated plates by finite element displacement methods—I. Fundamentals and static analysis
- A continuum‐based shell theory for non‐linear applications
- An assumed strain approach avoiding artificial thickness straining for a non‐linear 4‐node shell element
- Formulation of implicit finite element methods for multiplicative finite deformation plasticity
- 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
- Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain
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