Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements

Fuente: arXiv
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Autores principales: Man, Hou, Song, Chongmin, Natarajan, Sundararajan, Ooi, Ean Tat, Birk, Carolin
Formato: Preprint
Publicado: 2014
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author Man, Hou
Song, Chongmin
Natarajan, Sundararajan
Ooi, Ean Tat
Birk, Carolin
author_facet Man, Hou
Song, Chongmin
Natarajan, Sundararajan
Ooi, Ean Tat
Birk, Carolin
contents This paper presents a technique for stress and fracture analysis by using the scaled boundary finite element method (SBFEM) with quadtree mesh of high-order elements. The cells of the quadtree mesh are modelled as scaled boundary polygons that can have any number of edges, be of any high orders and represent the stress singularity around a crack tip accurately without asymptotic enrichment or other special techniques. Owing to these features, a simple and automatic meshing algorithm is devised. No special treatment is required for the hanging nodes and no displacement incompatibility occurs. Curved boundaries and cracks are modelled without excessive local refinement. Five numerical examples are presented to demonstrate the simplicity and applicability of the proposed technique.
format Preprint
id arxiv_https___arxiv_org_abs_1402_5186
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements
Man, Hou
Song, Chongmin
Natarajan, Sundararajan
Ooi, Ean Tat
Birk, Carolin
Numerical Analysis
This paper presents a technique for stress and fracture analysis by using the scaled boundary finite element method (SBFEM) with quadtree mesh of high-order elements. The cells of the quadtree mesh are modelled as scaled boundary polygons that can have any number of edges, be of any high orders and represent the stress singularity around a crack tip accurately without asymptotic enrichment or other special techniques. Owing to these features, a simple and automatic meshing algorithm is devised. No special treatment is required for the hanging nodes and no displacement incompatibility occurs. Curved boundaries and cracks are modelled without excessive local refinement. Five numerical examples are presented to demonstrate the simplicity and applicability of the proposed technique.
title Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements
topic Numerical Analysis
url https://arxiv.org/abs/1402.5186