On transformations and shape functions for enhanced assumed strain elements
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Publication:6549966
DOI10.1002/nme.6133zbMath1548.65355MaRDI QIDQ6549966
Peter Betsch, Robin Pfefferkorn
Publication date: 4 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
transformationsmixed finite elementsfinite deformationspatch testhourglassingenhanced assumed strains (EAS)
Related Items (3)
The improvements of new absolute nodal coordinate formulation based continuum beam elements in convergence, accuracy and efficiency ⋮ Improving efficiency and robustness of enhanced assumed strain elements for nonlinear problems ⋮ Mesh distortion insensitive and locking-free Petrov-Galerkin low-order EAS elements for linear elasticity
Cites Work
- Unnamed Item
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- A new mixed finite element based on different approximations of the minors of deformation tensors
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- An improved EAS brick element for finite deformation
- Hourglass control in linear and nonlinear problems
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- An efficient 3D enhanced strain element with Taylor expansion of the shape functions
- On enhanced strain methods for small and finite deformations of solids
- A note on enhanced strain methods for large deformations
- A deformation-dependent stabilization technique, exemplified by EAS elements at large strains
- A computational framework for polyconvex large strain elasticity
- Enhanced lower-order element formulations for large strains
- Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
- A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions
- Assumed strain stabilization of the eight node hexahedral element
- An enhanced strain 3D element for large deformation elastoplastic thin-shell applications
- On a physically stabilized one point finite element formulation for three-dimensional finite elasto-plasticity
- A stability study of some mixed finite elements for large deformation elasticity problems
- A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
- Further results for enhanced strain methods with isoparametric elements
- New finite elements with embedded strong discontinuities in the finite deformation range
- On the formulation of enhanced strain finite elements in finite deformations
- A theorem regarding the locking of tapered four-noded membrane elements
- A finite deformation brick element with inhomogeneous mode enhancement
- A generalization of the method of incompatible modes
- Finite elements with embedded strong discontinuities for the modeling of failure in solids
- Stability of Some Finite Element Methods for Finite Elasticity Problems
- The patch test—a condition for assessing FEM convergence
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- On the limits of finite element perfectability
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- A non-conforming element for stress analysis
- Aspects of the formulation and finite element implementation of large strain isotropic elasticity
- 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
- On a consistent hourglass stabilization technique to treat large inelastic deformations and thermo-mechanical coupling in plane strain problems
- Analysis of 3D problems using a new enhanced strain hexahedral element
- A stabilization technique to avoid hourglassing in finite elasticity
- A highly efficient enhanced assumed strain physically stabilized hexahedral element
- Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity
- Stability and Convergence of a Class of Enhanced Strain Methods
- 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
- An adaptive stabilization strategy for enhanced strain methods in non‐linear elasticity
- A First Course in Continuum Mechanics
- Nonlinear Continuum Mechanics for Finite Element Analysis
- On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids
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