Computing finite rotations of shells by an asymptotic-numerical method
type: Item
instance of: scholarly article
title: Computing finite rotations of shells by an asymptotic-numerical method
zbMATH Open document ID: 0963.74035
DOI: 10.1016/S0045-7825(98)00320-X
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-06-18T00:00:00Z
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1422517
zbMATH Keywords: mid-surface displacement
zbMATH Keywords: director vector
zbMATH Keywords: asymptotic-numerical algorithm
zbMATH Keywords: elastic shells
zbMATH Keywords: large rotations
zbMATH Keywords: three-field Hu-Washizu functional
zbMATH Keywords: geometrically exact element
author: Hamid Zahrouni
author: B. Cochelin
author: M. Potier-Ferry
MaRDI profile type: Publication
cites work: An excursion into large rotations
cites work: Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems
cites work: An asymptotic‐numerical method to compute the postbuckling behaviour of elastic plates and shells
cites work: Finite-rotation elements for the nonlinear analysis of thin shell structures
cites work: Méthodes asymptotiques numériques pour la plasticité
cites work: Shell theory versus degeneration—a comparison in large rotation finite element analysis
cites work: Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
cites work: A path-following technique via an asymptotic-numerical method
cites work: The asymptotic-numerical method: an efficient perturbation technique for nonlinear structural mechanics
cites work: A new method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures
cites work: Traitement des fortes non-linéarités par la méthode asymptotique numérique
cites work: Q4070470
cites work: Parametrization of finite rotations in computational dynamics: a review
cites work: Finite elastic deformations and finite rotations of 3d continuum with independent rotation field
cites work: On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures
cites work: Recent advances in reduction methods for nonlinear problems
cites work: Tracing post-limit-point paths with reduced basis technique
cites work: Lagrangian description and incremental formulation in the nonlinear theory of thin shells
cites work: Finite rotations in the description of continuum deformation
cites work: Some computational aspects of the stability analysis of nonlinear structures
cites work: A quadrilateral shell element using a mixed formulation
cites work: A class of mixed assumed strain methods and the method of incompatible modes
cites work: The non-linear perturbation analysis of discrete structural systems
cites work: Résolution des équations de Navier-Stokes et Détection des bifurcations stationnaires par une Méthode Asymptotique-Numérique
cites work: Q4214180
cites work: Finite element method. Vol. 1: The basis.
Wikidata QID: Q127982481
Recommended article: Q3727505
Recommended article: Théorie géométriquement exacte des coques en rotations finies et son implantation éléments finis
Recommended article: Q5629218
Recommended article: Finite-rotation shell elements via mixed formulation
Recommended article: Q4847538
Recommended article: Constrained finite rotations in dynamics of shells and Newmark implicit time‐stepping schemes
Recommended article: An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
Recommended article: On the parametrization of finite rotations in computational mechanics. A classification of concepts with application to smooth shells
Recommended article: Q5189700
Recommended article: On the relation between different parametrizations of finite rotations for shells
description: scientific article; zbMATH DE number 1422517