Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems

From MaRDI portal
Publication:1912164

DOI10.1016/0045-7825(93)90215-JzbMath0846.73068MaRDI QIDQ1912164

Francisco Armero, Robert L. Taylor, Juan C. Simo

Publication date: 23 September 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)




Related Items (only showing first 100 items - show all)

Mixed-enhanced formulation for geometrically linear axisymmetric problemsLinear and non‐linear finite element error estimation based on assumed strain fieldsLocking-Free Mixed Finite Element Methods and Their Spurious Hourglassing PatternsA finite element method for stability problems in finite elasticityA geometrical non-linear brick element based on the EAS-methodA generalized elastoplastic plate theory and its algorithmic implementationThree‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain conceptNon‐linear Wilson's brick element for finite elastic deformations of three‐dimensional solidsThe enhanced assumed strain method for the isogeometric analysis of nearly incompressible deformation of solidsA four-node corotational quadrilateral elastoplastic shell element using vectorial rotational variablesA new reduced integration solid-shell element based on EAS and ANS with hourglass stabilizationA 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropyA compatible mixed finite element method for large deformation analysis of two‐dimensional compressible solids in spatial configurationA micropolar shell model for hard‐magnetic soft materialsVariational schemes and mixed finite elements for large strain isotropic elasticity in principal stretches: Closed‐form tangent eigensystems, convexity conditions, and stabilised elasticityArtificial instabilities of finite elements for nonlinear elasticity: Analysis and remediesHourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanicsExtension of the unsymmetric 8‐node hexahedral solid element <scp>US‐ATFH8</scp> to <scp>3D</scp> hyper‐elastic finite deformation analysisA mixed method for 3D nonlinear elasticity using finite element exterior calculusAn improved formulation for reduced quadrature in computational solid mechanicsDiscretization Methods for Solids Undergoing Finite DeformationsThree-Field Mixed Finite Element Methods in ElasticityRemarks on the stability of enhanced strain elements in finite elasticity and elastoplasticityMixed virtual element formulations for incompressible and inextensible problemsA locking free virtual element formulation for Timoshenko beamsAn efficient solid shell material point method for large deformation of thin structuresDistributed PINN for Linear Elasticity — A Unified Approach for Smooth, Singular, Compressible and Incompressible MediaOn the restrained torsional warping of thin‐walled elastic shaftsAn unsymmetric 8-node hexahedral solid-shell element based on ANS and incompatible concepts for thin shell analysisA Concept for the Extension of the Assumed Stress Finite Element Method to HyperelasticityUnnamed ItemUnnamed ItemFinite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)On the formulation of enhanced strain finite elements in finite deformationsAssumed-deformation gradient finite elements with nodal integration for nearly incompressible large deformation analysisA finite deformation brick element with inhomogeneous mode enhancementA reduced integration solid-shell finite element based on the EAS and the ANS concept-Geometrically linear problemsAn improved assumed strain solid-shell element formulation with physical stabilization for geometric non-linear applications and elastic-plastic stability analysisA new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I-geometrically linear applicationsOn the Equivalent of Mixed Element Formulations and the Concept of Reduced Integration in Large Deformation ProblemsQuadrilateral elements for the solution of elasto‐plastic finite strain problemsA reduced integration solid-shell finite element based on the EAS and the ANS concept-Large deformation problemsA new volumetric and shear locking‐free 3D enhanced strain elementThe equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions.Time integration in the context of energy control and locking-free finite elementsEnhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elementsStabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functionsModeling three-dimensional crack propagation-A comparison of crack path tracking strategiesNew enhanced strain elements for incompressible problemsRecent advances in models for thermal oxidation of siliconEight-node shell element based on incompatible modesA FORMULATION OF THE QS6 ELEMENT FOR LARGE ELASTIC DEFORMATIONSMixed variational methods for finite element analysis of geometrically non-linear, inelastic Bernoulli-Euler beamsOn the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solidsA new stabilization technique for finite elements in non-linear elasticitySome low‐order quadrilateral elements based on novel integration rulesFailures of the three‐dimensional patch test for large elastic deformationsA systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problemsAnalysis of 3D problems using a new enhanced strain hexahedral elementVariationally consistent discretization schemes and numerical algorithms for contact problemsNew mixed formulations for problems in elasticityThe Cosserat Point Element as an Accurate and Robust Finite Element Formulation for Implicit Dynamic SimulationsUnnamed ItemUnnamed ItemEnergy‐momentum consistent algorithms for dynamic thermomechanical problems—Application to mortar domain decomposition problemsGeometric non-linear hexahedral elements with rotational DOFsEnhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysisMoving least-squares in finite strain analysis with tetrahedra supportOn the orthogonal subgrid scale pressure stabilization of finite deformation J2 plasticityA model-adaptive hanging node concept based on a new non-linear solid-shell formulationA solid-shell Cosserat point element (SSCPE) for elastic thin structures at finite deformationUnnamed ItemFrameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. I: Continuum formulationsFrameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. II: Computational aspectsA new axi-symmetric element for thin walled structuresHexahedral volume coordinate method (HVCM) and improvements on 3D Wilson hexahedral elementConditions for equivalence between the Hu-Washizu and related formulations, and computational behavior in the incompressible limitModeling strong discontinuities at finite strains -- a novel numerical implementationNonlinear thermo-elastic phase-field fracture of thin-walled structures relying on solid shell conceptsOn some mixed finite element methods for incompressible and nearly incompressible finite elasticityAn efficient 3D enhanced strain element with Taylor expansion of the shape functionsOn enhanced strain methods for small and finite deformations of solidsEnhanced lower-order element formulations for large strainsInstability phenomena in plasticity: Modelling and computationA nonlinear extensible 4-node shell element based on continuum theory and assumed strain interpolationsDuctile failure analyses on massively parallel computersAxisymmetric form of the material point method with applications to upsetting and Taylor impact problemsStress-induced phase transformations in elastic solids under anti-plane deformations: Dissipative constitutive models and numerical simulationPhase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementationEntropy elasticity of isotropic rubber-like solids at finite strainsA computational framework for polyconvex large strain elasticityA nine nodes solid-shell finite element with enhanced pinching stressCompatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticityThe four-noded quadrilateral with a \(2\times 1\) integration rule: Application to plates and other problemsA material model for rubber-like polymers exhibiting plastic deformation: Computational aspects and a comparison with experimental resultsAn efficient formulation of integration algorithms for elastoplastic shell analysis based on layered finite element approachA new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisationA simple reduced integration hexahedral solid-shell element for large strainsA non linear corotational 4-node plane elementGeneralization of the strain-split method and evaluation of the nonlinear ANCF finite elements



Cites Work


This page was built for publication: Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems