Assumed natural strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thin-shell structures
type: Item
instance of: scholarly article
title: Assumed natural strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thin-shell structures
zbMATH Open document ID: 1423.74167
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-10-22T00:00:00Z
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74G15
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 6960564
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: NURBS
zbMATH Keywords: assumed natural strain
zbMATH Keywords: solid-shell
zbMATH Keywords: geometric nonlinearity
zbMATH Keywords: small strains
describes a project that uses: ABAQUS
MaRDI profile type: Publication
full work available at URL: j.cma.2014.10.037
OpenAlex ID: W1971762261
cites work: A systematic development of ‘solid-shell’ element formulations for linear and non-linear analyses employing only displacement degrees of freedom
cites work: An enhanced strain 3D element for large deformation elastoplastic thin-shell applications
cites work: A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I-geometrically linear applications
cites work: A reduced integration solid-shell finite element based on the EAS and the ANS concept-Geometrically linear problems
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric Analysis
cites work: Isogeometric analysis of structural vibrations
cites work: Studies of refinement and continuity in isogeometric structural analysis
cites work: \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
cites work: Isogeometric analysis of nearly incompressible solids
cites work: The enhanced assumed strain method for the isogeometric analysis of nearly incompressible deformation of solids
cites work: Numerical efficiency, locking and unlocking of NURBS finite elements
cites work: Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
cites work: Single-variable formulations and isogeometric discretizations for shear deformable beams
cites work: Locking free isogeometric formulations of curved thick beams
cites work: Locking-free isogeometric collocation methods for spatial Timoshenko rods
cites work: Efficient isogeometric NURBS-based solid-shell elements: mixed formulation and \(\overline B\)-method
cites work: A hierarchic family of isogeometric shell finite elements
cites work: Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach
cites work: Isogeometric shell analysis with Kirchhoff-Love elements
cites work: A large deformation, rotation-free, isogeometric shell
cites work: Blended isogeometric shells
cites work: On the assumed natural strain method to alleviate locking in solid-shell NURBS-based finite elements
cites work: Q2785470
cites work: Q4953860
cites work: On the numerical implementation of inelastic time dependent and time independent, finite strain constitutive equations in structural mechanics
cites work: A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells
cites work: Q4499064
cites work: On the use of an enhanced transverse shear strain shell element for problems involving large rotations
cites work: A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness—part II: nonlinear applications
cites work: Computational inelasticity
cites work: Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
cites work: A formulation of general shell elements—the use of mixed interpolation of tensorial components
cites work: Higher‐order MITC general shell elements
cites work: Physical stabilization of the 4-node shell element with one point quadrature
cites work: A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I?solid-shell element formulation
cites work: Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elements
cites work: A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains
cites work: On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching
cites work: A continuum‐based shell theory for non‐linear applications
cites work: A new shell element accounting for through-thickness deformation
cites work: A large deformation solid-shell concept based on reduced integration with hourglass stabilization
cites work: A reduced integration solid-shell finite element based on the EAS and the ANS concept-Large deformation problems
cites work: Q5327784
cites work: Finite-rotation shell elements via mixed formulation
cites work: On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells
cites work: The finite deformation theory for beam, plate and shell. V: The shell element with drilling degree of freedom based on Biot strain.
cites work: Shell theory versus degeneration—a comparison in large rotation finite element analysis
cites work: Thin shells with finite rotations formulated in biot stresses: Theory and finite element formulation
cites work: Q4255108
cites work: Nonlinear analysis of free-form shells by flat finite elements
cites work: A fast incremental/iterative solution procedure that handles “snap-through”
cites work: Stability analysis using a geometrically nonlinear assumed strain solid shell element model
cites work: Element formulation and numerical techniques for stability problems in shells
cites work: Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: Theoretical and computational analysis
cites work: A robust nonlinear solid shell element based on a mixed variational formulation
DOI: 10.1016/J.CMA.2014.10.037