Interface shape design of multi-material structures for delamination strength

This paper deals with interface shape optimum design of multi-material structures for the delamination strength problem. The optimum design problem is formulated as a non-parametric shape optimization problem in which the interface variation in the normal direction is considered as a design variable...

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Autores principales: Yang LIU, Daisuke MATSUNAKA, Masatoshi SHIMODA, Yoji SHIBUTANI
Formato: article
Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2016
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Acceso en línea:https://doaj.org/article/59047cc3ea5d41bb93304044488b9b98
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spelling oai:doaj.org-article:59047cc3ea5d41bb93304044488b9b982021-11-26T06:35:12ZInterface shape design of multi-material structures for delamination strength2187-974510.1299/mej.15-00360https://doaj.org/article/59047cc3ea5d41bb93304044488b9b982016-01-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/1/3_15-00360/_pdf/-char/enhttps://doaj.org/toc/2187-9745This paper deals with interface shape optimum design of multi-material structures for the delamination strength problem. The optimum design problem is formulated as a non-parametric shape optimization problem in which the interface variation in the normal direction is considered as a design variable. The maximum value of a delamination function, an index of the delamination strength, is defined as an objective function subject to a volume constraint. The shape sensitivity, called shape gradient function, is derived by using the material derivative method and the adjoint variable method, and is applied to the H1 gradient method to determine the optimal interface shape. With this method, the maximum value of the delamination function can be minimized while the smooth optimal interface shape can be obtained without any shape design parametrization. Several interface shape design examples are presented to verify the validity and practical utility of the proposed method.Yang LIUDaisuke MATSUNAKAMasatoshi SHIMODAYoji SHIBUTANIThe Japan Society of Mechanical Engineersarticlemulti-material structuresjoint strengthdelamination functioninterface shapeoptimum designMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 1, Pp 15-00360-15-00360 (2016)
institution DOAJ
collection DOAJ
language EN
topic multi-material structures
joint strength
delamination function
interface shape
optimum design
Mechanical engineering and machinery
TJ1-1570
spellingShingle multi-material structures
joint strength
delamination function
interface shape
optimum design
Mechanical engineering and machinery
TJ1-1570
Yang LIU
Daisuke MATSUNAKA
Masatoshi SHIMODA
Yoji SHIBUTANI
Interface shape design of multi-material structures for delamination strength
description This paper deals with interface shape optimum design of multi-material structures for the delamination strength problem. The optimum design problem is formulated as a non-parametric shape optimization problem in which the interface variation in the normal direction is considered as a design variable. The maximum value of a delamination function, an index of the delamination strength, is defined as an objective function subject to a volume constraint. The shape sensitivity, called shape gradient function, is derived by using the material derivative method and the adjoint variable method, and is applied to the H1 gradient method to determine the optimal interface shape. With this method, the maximum value of the delamination function can be minimized while the smooth optimal interface shape can be obtained without any shape design parametrization. Several interface shape design examples are presented to verify the validity and practical utility of the proposed method.
format article
author Yang LIU
Daisuke MATSUNAKA
Masatoshi SHIMODA
Yoji SHIBUTANI
author_facet Yang LIU
Daisuke MATSUNAKA
Masatoshi SHIMODA
Yoji SHIBUTANI
author_sort Yang LIU
title Interface shape design of multi-material structures for delamination strength
title_short Interface shape design of multi-material structures for delamination strength
title_full Interface shape design of multi-material structures for delamination strength
title_fullStr Interface shape design of multi-material structures for delamination strength
title_full_unstemmed Interface shape design of multi-material structures for delamination strength
title_sort interface shape design of multi-material structures for delamination strength
publisher The Japan Society of Mechanical Engineers
publishDate 2016
url https://doaj.org/article/59047cc3ea5d41bb93304044488b9b98
work_keys_str_mv AT yangliu interfaceshapedesignofmultimaterialstructuresfordelaminationstrength
AT daisukematsunaka interfaceshapedesignofmultimaterialstructuresfordelaminationstrength
AT masatoshishimoda interfaceshapedesignofmultimaterialstructuresfordelaminationstrength
AT yojishibutani interfaceshapedesignofmultimaterialstructuresfordelaminationstrength
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