Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes

The coupling-matrix-free iterative s-version finite element method is extended to multiple local meshes in order to model multiple local features such as holes, inclusions, and cracks. The formulation with multiple local meshes is presented, along with the stress transfer method between the local me...

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Autores principales:	Yasunori YUSA, Joe OKAMOTO, Daiji TOYAMA, Hiroshi OKADA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2018
Materias:	s-version finite element method multiple local meshes coupling stiffness matrix iterative method numerical integration stress concentration problem Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/d574ed0e72304b44b02749723f425a42
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spelling	oai:doaj.org-article:d574ed0e72304b44b02749723f425a422021-11-26T07:23:10ZAnalysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes2187-974510.1299/mej.18-00264https://doaj.org/article/d574ed0e72304b44b02749723f425a422018-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/5/5/5_18-00264/_pdf/-char/enhttps://doaj.org/toc/2187-9745The coupling-matrix-free iterative s-version finite element method is extended to multiple local meshes in order to model multiple local features such as holes, inclusions, and cracks. The formulation with multiple local meshes is presented, along with the stress transfer method between the local meshes. The present method does not require the generation of coupling stiffness matrices with a very sophisticated numerical integration method between the global and local meshes or between the local meshes. Instead, stress transfers between pairs of overlapping meshes are performed. Several numerical examples, such as a patch test, a two-hole problem, and a structure with many holes, are presented. The examples demonstrate that the present method is capable of representing a uniform stress distribution as well as capturing the stress concentration of multiple holes that are located in the vicinity of each other. Moreover, numerical integration methods of the global mesh and local meshes are found to have significant influences on the convergence of the iteration. In these numerical examples, the straightforward Gaussian quadrature could not achieve convergence, whereas the element subdivision technique could. Thus, sufficient element subdivisions in the global mesh and the local meshes are necessary in order to produce a converged solution.Yasunori YUSAJoe OKAMOTODaiji TOYAMAHiroshi OKADAThe Japan Society of Mechanical Engineersarticles-version finite element methodmultiple local meshescoupling stiffness matrixiterative methodnumerical integrationstress concentration problemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 5, Iss 5, Pp 18-00264-18-00264 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	s-version finite element method multiple local meshes coupling stiffness matrix iterative method numerical integration stress concentration problem Mechanical engineering and machinery TJ1-1570
spellingShingle	s-version finite element method multiple local meshes coupling stiffness matrix iterative method numerical integration stress concentration problem Mechanical engineering and machinery TJ1-1570 Yasunori YUSA Joe OKAMOTO Daiji TOYAMA Hiroshi OKADA Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes
description	The coupling-matrix-free iterative s-version finite element method is extended to multiple local meshes in order to model multiple local features such as holes, inclusions, and cracks. The formulation with multiple local meshes is presented, along with the stress transfer method between the local meshes. The present method does not require the generation of coupling stiffness matrices with a very sophisticated numerical integration method between the global and local meshes or between the local meshes. Instead, stress transfers between pairs of overlapping meshes are performed. Several numerical examples, such as a patch test, a two-hole problem, and a structure with many holes, are presented. The examples demonstrate that the present method is capable of representing a uniform stress distribution as well as capturing the stress concentration of multiple holes that are located in the vicinity of each other. Moreover, numerical integration methods of the global mesh and local meshes are found to have significant influences on the convergence of the iteration. In these numerical examples, the straightforward Gaussian quadrature could not achieve convergence, whereas the element subdivision technique could. Thus, sufficient element subdivisions in the global mesh and the local meshes are necessary in order to produce a converged solution.
format	article
author	Yasunori YUSA Joe OKAMOTO Daiji TOYAMA Hiroshi OKADA
author_facet	Yasunori YUSA Joe OKAMOTO Daiji TOYAMA Hiroshi OKADA
author_sort	Yasunori YUSA
title	Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes
title_short	Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes
title_full	Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes
title_fullStr	Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes
title_full_unstemmed	Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes
title_sort	analysis of a many-hole problem using coupling-matrix-free iterative s-version fem with multiple local meshes
publisher	The Japan Society of Mechanical Engineers
publishDate	2018
url	https://doaj.org/article/d574ed0e72304b44b02749723f425a42
work_keys_str_mv	AT yasunoriyusa analysisofamanyholeproblemusingcouplingmatrixfreeiterativesversionfemwithmultiplelocalmeshes AT joeokamoto analysisofamanyholeproblemusingcouplingmatrixfreeiterativesversionfemwithmultiplelocalmeshes AT daijitoyama analysisofamanyholeproblemusingcouplingmatrixfreeiterativesversionfemwithmultiplelocalmeshes AT hiroshiokada analysisofamanyholeproblemusingcouplingmatrixfreeiterativesversionfemwithmultiplelocalmeshes
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Analysis of a many-hole problem using coupling-matrix-free iterative s-version FEM with multiple local meshes

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