A polygonal finite element method for modeling arbitrary interfaces in large deformation problems
type: Item
instance of: scholarly article
title: A polygonal finite element method for modeling arbitrary interfaces in large deformation problems
zbMATH Open document ID: 1312.74032
author: S. O. R. Biabanaki
author: A. R. Khoei
published in: Computational Mechanics
publication date: 2013-02-11T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6135513
zbMATH Keywords: polygonal-FEM
zbMATH Keywords: arbitrary interfaces
zbMATH Keywords: large deformations
zbMATH Keywords: conforming FEM
zbMATH Keywords: pentagonal elements
MaRDI profile type: Publication
full work available at URL: s00466-011-0668-4
OpenAlex ID: W1993609524
cites work: Element‐free Galerkin methods
cites work: Meshless methods: An overview and recent developments
cites work: The arbitrary local mesh replacement method: An alternative to remeshing for crack propagation analysis
cites work: Continuum modelling of strong discontinuities in solid mechanics using damage models
cites work: The generalized finite element method
cites work: A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
cites work: Elastic crack growth in finite elements with minimal remeshing
cites work: Arbitrary branched and intersecting cracks with the extended finite element method
cites work: Arbitrary discontinuities in finite elements
cites work: Vector level sets for description of propagating cracks in finite elements
cites work: Combined extended and superimposed finite element method for cracks
cites work: Analysis of three-dimensional crack initiation and propagation using the extended finite element method
cites work: Extended finite element method in plasticity forming of powder compaction with contact friction
cites work: Extended finite element method for three-dimensional large plasticity deformations on arbitrary interfaces
cites work: Dislocations by partition of unity
cites work: The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
cites work: A new fast finite element method for dislocations based on interior discontinuities
cites work: On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
cites work: Quadrature rules for triangular and tetrahedral elements with generalized functions
cites work: New Cartesian grid methods for interface problems using the finite element formulation
cites work: Conforming polygonal finite elements
cites work: A conformal decomposition finite element method for modeling stationary fluid interface problems
cites work: A rational finite element basis
cites work: Q3273607
cites work: Rational Wachspress-type Finite Elements on Regular Hexagons
cites work: Barycentric coordinates for convex polytopes
cites work: On Wachspress quadrilateral patches
cites work: On a finite element method with variable element topology
cites work: Generalized Barycentric Coordinates on Irregular Polygons
cites work: Influence of the loading path on the strength of fiber-reinforced composites subjected to transverse compression and shear
DOI: 10.1007/S00466-011-0668-4
description: scientific article; zbMATH DE number 6135513