Time integration in the context of energy control and locking-free finite elements
From MaRDI portal
Publication:5933953
DOI10.1007/BF02736211zbMath0986.74005WikidataQ113327863 ScholiaQ113327863MaRDI QIDQ5933953
Publication date: 23 August 2001
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
assumed stress elementsenergy-momentum methodenhanced assumed strain elementgeneralized energy-momentum methodlocking-free analysismodified Hu-Washizu three-field functionalnonlinear shell dynamicsone-field functionalshell element
Control, switches and devices (``smart materials) in solid mechanics (74M05) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)
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Cites Work
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- On the equivalence of non-conforming element and hybrid stress element
- Dynamics of 3-D co-rotational beams
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- A class of equivalent enhanced assumed strain and hybrid stress finite elements
- Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
- Nonlinear dynamics of shells: Theory, finite element formulation, and integration schemes
- On enhanced strain methods for small and finite deformations of solids
- Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
- A note on enhanced strain methods for large deformations
- On a systematic development of trilinear three-dimensional solid elements based on Simo's enhanced strain formulation
- Using assumed enhanced strain elements for large compressive deformation
- 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
- Large inelastic strain analysis by multilayer shell elements
- Finite-rotation theories for composite laminates
- A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
- Large strain deformations of elastic shells. Constitutive modelling and finite element analysis
- Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems
- Enhanced assumed strain elements and locking in membrane problems
- A nonlinear extensible 4-node shell element based on continuum theory and assumed strain interpolations
- Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
- 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
- Generalized energy-momentum method for nonlinear adaptive shell dynamics
- A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
- On the formulation of enhanced strain finite elements in finite deformations
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Rational approach for assumed stress finite elements
- A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
- On the Variational Foundations of Assumed Strain Methods
- Hierarchic plate and shell models based onp-extension
- An alpha modification of Newmark's method
- Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
- Alternative ways for formulation of hybrid stress elements
- On a stress resultant geometrically exact shell model. Part VI: Conserving algorithms for non‐linear dynamics
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- A non-conforming element for stress analysis
- Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
- A systematic development of ‘solid-shell’ element formulations for linear and non-linear analyses employing only displacement degrees of freedom
- On the accuracy ofp-version elements for the Reissner-Mindlin plate problem
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
- A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
- EQUIVALENCE BETWEEN ENHANCED ASSUMED STRAIN METHOD AND ASSUMED STRESS HYBRID METHOD BASED ON THE HELLINGER-REISSNER PRINCIPLE
- AN ENERGY-CONSERVING CO-ROTATIONAL PROCEDURE FOR THE DYNAMICS OF PLANAR BEAM STRUCTURES
- A geometrical non-linear brick element based on the EAS-method
- A quadrilateral mixed finite element with two enhanced strain modes
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
- An assumed strain approach avoiding artificial thickness straining for a non‐linear 4‐node shell 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
- Reduced integration technique in general analysis of plates and shells
