Adaptive meshing for dynamic strain localization
type: Item
instance of: scholarly article
title: Adaptive meshing for dynamic strain localization
zbMATH Open document ID: 0885.73078
DOI: 10.1016/S0045-7825(96)01068-7
author: Arghya Deb
author: Benjamin Loret
author: Jean H. Prévost
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1997-09-04T00:00:00Z
review text: A mesh enrichment procedure is developed to capture the shear band for strain localization in elasto-(visco)-plastic solids. The enriched mesh comprises four and five noded quadrilateral elements which can be adaptively refined in the localized zone. The criterion for mesh adaption combines three well-known localization characteristics to predict the onset of localization in individual elements. A modified procedure for transferring state variables between two successive refined meshes is proposed. The procedure is tested by solving several sample problems. Consistent and stable solutions are obtained. In particular, shear band widths and plastic strains are found to converge to stable values.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R20
zbMATH DE Number: 1057528
zbMATH Keywords: shear band
zbMATH Keywords: quadrilateral elements
zbMATH Keywords: plastic strains
MaRDI profile type: Publication
cites work: Finite element simulation of dynamic strain-localization: A multi-scale problem
cites work: Non-local yield limit degradation
cites work: A gradient approach to localization of deformation. I. Hyperelastic materials
cites work: Material rate dependence and mesh-sensitivity in localization problems
cites work: Dynamic strain localization in elasto-(visco-)plastic solids. I: General formulation and one-dimensional examples
cites work: High resolution two-dimensional shear band computations: Imperfections and mesh dependence
cites work: A finite element with embedded localization zones
cites work: A finite element with a unidirectionally enriched strain field for localization analysis
cites work: The spectral overlay on finite elements for problems with high gradients
cites work: H‐Adaptive finite element methods for dynamic problems, with emphasis on localization
cites work: On error estimates and adaptivity in elastoplastic solids: Applications to the numerical simulation of strain localization in classical and Cosserat continua
cites work: Localization problems in plasticity using finite elements with adaptive remeshing
cites work: Q3773481
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
cites work: Automated band identification procedure for dynamic strain localization
cites work: Implementation of an adaptive refinement technique for the SUPG algorithm
cites work: Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
cites work: Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements
cites work: Eigenvalues and Stable Time Steps for the Uniform Strain Hexahedron and Quadrilateral
cites work: Dynamic strain localization in elasto-(visco-)plastic solids. II: Plane strain examples
full work available at URL: s0045-7825(96)01068-7
OpenAlex ID: W1980326448
description: scientific article; zbMATH DE number 1057528