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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The Japan Society of Mechanical Engineers
2016
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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) |
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DOAJ |
language |
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topic |
multi-material structures joint strength delamination function interface shape optimum design Mechanical engineering and machinery TJ1-1570 |
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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 |
_version_ |
1718409777196826624 |