Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function

A three-dimensional crack analysis method based on XFEM using only the Heaviside step function was applied to heat transfer and subsequent thermal stress analyses of cracked structures. The proposed method employs tip elements to discretize the weak form governing equations using the approximation f...

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Autor principal:	Toshio NAGASHIMA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2020
Materias:	xfem heat transfer analysis stress analysis thermal stress stress intensity factor domain integral method j-integral m-integral Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/9d8d20a0b59947a184e2feca31207de1
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spelling	oai:doaj.org-article:9d8d20a0b59947a184e2feca31207de12021-11-29T05:59:27ZThree-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function2187-974510.1299/mej.20-00098https://doaj.org/article/9d8d20a0b59947a184e2feca31207de12020-07-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/4/7_20-00098/_pdf/-char/enhttps://doaj.org/toc/2187-9745A three-dimensional crack analysis method based on XFEM using only the Heaviside step function was applied to heat transfer and subsequent thermal stress analyses of cracked structures. The proposed method employs tip elements to discretize the weak form governing equations using the approximation function with discontinuity. Two kinds of XFEM analysis software, which perform steady-state or transient heat transfer analysis and thermal stress analysis to evaluate J-integrals and stress intensity factors, were developed. As the XFEM model for the stress analysis is consistent with the heat transfer analysis model, nodal temperature data can be directly imported for stress analysis as thermal load data. The developed codes were verified by solving some benchmark crack problems, including both mechanical and thermal loading cases, and comparing the results with those of conventional methods and a reference. It was shown that the developed codes provide appropriate results for practical thermal stress analysis of cracked structures considering temperature-dependent material properties.Toshio NAGASHIMAThe Japan Society of Mechanical Engineersarticlexfemheat transfer analysisstress analysisthermal stressstress intensity factordomain integral methodj-integralm-integralMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 4, Pp 20-00098-20-00098 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	xfem heat transfer analysis stress analysis thermal stress stress intensity factor domain integral method j-integral m-integral Mechanical engineering and machinery TJ1-1570
spellingShingle	xfem heat transfer analysis stress analysis thermal stress stress intensity factor domain integral method j-integral m-integral Mechanical engineering and machinery TJ1-1570 Toshio NAGASHIMA Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
description	A three-dimensional crack analysis method based on XFEM using only the Heaviside step function was applied to heat transfer and subsequent thermal stress analyses of cracked structures. The proposed method employs tip elements to discretize the weak form governing equations using the approximation function with discontinuity. Two kinds of XFEM analysis software, which perform steady-state or transient heat transfer analysis and thermal stress analysis to evaluate J-integrals and stress intensity factors, were developed. As the XFEM model for the stress analysis is consistent with the heat transfer analysis model, nodal temperature data can be directly imported for stress analysis as thermal load data. The developed codes were verified by solving some benchmark crack problems, including both mechanical and thermal loading cases, and comparing the results with those of conventional methods and a reference. It was shown that the developed codes provide appropriate results for practical thermal stress analysis of cracked structures considering temperature-dependent material properties.
format	article
author	Toshio NAGASHIMA
author_facet	Toshio NAGASHIMA
author_sort	Toshio NAGASHIMA
title	Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
title_short	Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
title_full	Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
title_fullStr	Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
title_full_unstemmed	Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
title_sort	three-dimensional crack analyses under thermal stress field by xfem using only the heaviside step function
publisher	The Japan Society of Mechanical Engineers
publishDate	2020
url	https://doaj.org/article/9d8d20a0b59947a184e2feca31207de1
work_keys_str_mv	AT toshionagashima threedimensionalcrackanalysesunderthermalstressfieldbyxfemusingonlytheheavisidestepfunction
_version_	1718407601789599744

Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function

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