A scaled boundary polygon formulation for elasto-plastic analyses

Ooi, Ean Tat; Song, Chongmin; Tin‐Loi, F.

doi:10.1016/j.cma.2013.10.021

Cited by 107 publications

(77 citation statements)

References 77 publications

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“…They are restricted to linear problems. An extension to nonlinear problems is given in [9,10]. It is based on an advanced shape function derived from the solution of linear problems.…”

Section: Introductionmentioning

confidence: 99%

Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM

Chen

Dornisch

Klinkel

2015

Computer Methods in Applied Mechanics and Engineering

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“…They are restricted to linear problems. An extension to nonlinear problems is given in [9,10]. It is based on an advanced shape function derived from the solution of linear problems.…”

Section: Introductionmentioning

confidence: 99%

Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM

Chen

Dornisch

Klinkel

2015

Computer Methods in Applied Mechanics and Engineering

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“…where 20) and [Z] is a Hamiltonian matrix, which dictates symmetry about the real and the imaginary axis for all eigenvalues. Based on the symmetry of the eigenvalues, their contributions towards the solution should be separated accordingly.…”

Section: Solution Proceduresmentioning

confidence: 99%

“…Recently, SBFEM has been extended to material non-linearity [20] as well as material and geometric non-linearity [21]. Further, a non-linear heat transfer problem was solved using the homotopy analysis method (HAM) [22].…”

Section: Introductionmentioning

confidence: 99%

The Scaled Boundary Finite Element Method for the Efficient Modelling of Linear Elastic Fracture

Egger¹,

Triantafyllou²,

Chatzi³

2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Abstract. In this work, a study of computational and implementational efficiency is presented, on the treatment of Linear Elastic Fracture Mechanics (LEFM) problems. To this end, the Scaled Boundary Finite Element Method (SBFEM), is compared against the popular eXtended Finite Element Method (XFEM) and the standard FEM approach for efficient calculation of Stress Intensity Factors (SIFs). The aim is to examine SBFEM's potential for inclusion within a multiscale fracture mechanics framework. The above features will be exploited to solve a series of benchmarks in LEFM comparing XFEM, SBFEM and commercial FEM software to analytical solutions. The extent to which the SBFEM lends itself for inclusion within a multiscale framework will further be assessed.

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“…Recently, the polygon SBFEM was proved to be more accurate when compared with the conventional polygon FEM and cell-based smoothed polygon FEM [38] and a scaled boundary polygon formulation was developed to model elasto-plastic material responses in structures [39], which increases the application possibilities of the polygon SBFEM.…”

Section: Introductionmentioning

confidence: 99%

A fully automatic polygon scaled boundary finite element method for modelling crack propagation

Dai

Augarde

et al. 2015

Engineering Fracture Mechanics

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2015) 'A fully automatic polygon scaled boundary nite element method for modelling crack propagation.', Engineering fracture mechanics., 133 . pp. 163-178. Further information on publisher's website:http://dx.doi.org/10.1016/j.engfracmech.2014.11.011Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Engineering Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version was subsequently published in Engineering Fracture Mechanics, 133, January 2015, 10.1016/j.engfracmech.2014.11.011. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

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A scaled boundary polygon formulation for elasto-plastic analyses

Abstract: A scaled boundary polygon formulation for elasto-plastic analyses. Computer Methods in Applied Mechanics and Engineering.

Cited by 107 publications

References 77 publications

Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM

Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM

The Scaled Boundary Finite Element Method for the Efficient Modelling of Linear Elastic Fracture

A fully automatic polygon scaled boundary finite element method for modelling crack propagation

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