Multi-material topology optimization considering both isotropy and anisotropy with fibre orientation optimization

Research on multi-material topology optimization (MMTO) considering both isotropic and anisotropic materials as candidate materials is limited. Previous studies required researchers to preselect the anisotropic material fibre orientations, which are not subject to change during the optimization. As...

Full description

Saved in:
Bibliographic Details
Published inEngineering optimization Vol. 57; no. 6; pp. 1526 - 1550
Main Authors Shi, Yifan, Huang, Yuhao, Kim, Il Yong
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.06.2025
Subjects
Online AccessGet full text
ISSN0305-215X
1029-0273
DOI10.1080/0305215X.2024.2358922

Cover

Abstract Research on multi-material topology optimization (MMTO) considering both isotropic and anisotropic materials as candidate materials is limited. Previous studies required researchers to preselect the anisotropic material fibre orientations, which are not subject to change during the optimization. As the preselected orientations cannot change, better MMTO solutions may be overlooked. To address this issue, a novel MMTO algorithm incorporating the anisotropic material fibre orientation as a design variable is proposed, eliminating the need to preselect fibre orientations and leading to better MMTO solutions. A numerical approximation method named the carry-through method is also proposed. This allows the compliance sensitivity over anisotropic material fibre orientation to be calculated without the need for the strain-displacement matrix information, simplifying the MMTO method implementation. Comparative studies on three models demonstrate that the proposed MMTO method outperforms the existing MMTO method, achieving improvements of 7%, 10% and 14% on the objectives in these models.
AbstractList Research on multi-material topology optimization (MMTO) considering both isotropic and anisotropic materials as candidate materials is limited. Previous studies required researchers to preselect the anisotropic material fibre orientations, which are not subject to change during the optimization. As the preselected orientations cannot change, better MMTO solutions may be overlooked. To address this issue, a novel MMTO algorithm incorporating the anisotropic material fibre orientation as a design variable is proposed, eliminating the need to preselect fibre orientations and leading to better MMTO solutions. A numerical approximation method named the carry-through method is also proposed. This allows the compliance sensitivity over anisotropic material fibre orientation to be calculated without the need for the strain-displacement matrix information, simplifying the MMTO method implementation. Comparative studies on three models demonstrate that the proposed MMTO method outperforms the existing MMTO method, achieving improvements of 7%, 10% and 14% on the objectives in these models.
Author Kim, Il Yong
Huang, Yuhao
Shi, Yifan
Author_xml – sequence: 1
  givenname: Yifan
  surname: Shi
  fullname: Shi, Yifan
  organization: Queen's University
– sequence: 2
  givenname: Yuhao
  surname: Huang
  fullname: Huang, Yuhao
  organization: Queen's University
– sequence: 3
  givenname: Il Yong
  surname: Kim
  fullname: Kim, Il Yong
  email: kimiy@queensu.ca
  organization: Queen's University
BookMark eNqFkN1KxDAQhYOs4Lr6CEJfoOsk2bgp3iiLf7DijYJ3IU2TNdImNYks9elt6SrihV4MwzDnO8ycQzRx3mmETjDMMXA4BQqMYPY8J0AWc0IZLwjZQ1MMpMiBLOkETQdNPogO0GGMrwCYAvApert_r5PNG5l0sLLOkm997Tdd5ttkG_shk_UuU95FW_UKt8lKn14yG30Kvu0y6aq-vset7ZfGlkFnPljt0sj_NDtC-0bWUR_v-gw9XV89rm7z9cPN3epynSuKIeVnnJeM0yUhptIFXiqDy4IbCQVmtKwopQZXuCpoQQBrBcYYZjThRsn-7QWjM3Q--qrgYwzaCGXHc1KQthYYxJCe-EpPDOmJXXo9zX7RbbCNDN2_3MXIWWd8aOTWh7oSSXa1DyZIp2wU9G-LTwaPjQ4
CitedBy_id crossref_primary_10_1016_j_ijmecsci_2024_109712
crossref_primary_10_1016_j_compositesb_2025_112393
Cites_doi 10.1007/BF01650949
10.4271/2023-01-0023
10.1007/s00158-009-0440-y
10.1016/S0045-7825(02)00559-5
10.1007/s00158-019-02372-x
10.1007/s00158-021-02893-4
10.1007/BF01203536
10.1016/0045-7949(95)00235-9
10.4271/2021-01-0361
10.1016/j.advengsoft.2009.03.006
10.1007/s00158-020-02649-6
10.3390/fib7020014
10.1007/s00158-007-0203-6
10.1007/s00158-012-0880-7
10.1007/s00158-018-2094-0
10.1016/0045-7825(88)90086-2
10.1007/s00158-020-02657-6
10.1002/9780470689486
10.1007/s001580050176
10.1007/BF01637666
10.1177/13694332221088946
10.1002/nme.1259
10.4271/2023-01-0029
10.1016/j.compstruct.2023.117572
10.1016/j.compstruct.2021.114288
10.1002/nme.5908
10.4271/2023-01-0030
10.1108/EC-07-2021-0421
10.1016/j.jcp.2003.09.032
10.1016/j.compositesb.2019.107681
10.1007/s00158-021-02941-z
10.1007/BF01894077
10.1007/s00158-019-02461-x
10.1016/j.cma.2019.112812
10.1016/S0022-5096(96)00114-7
10.1007/s00158-008-0336-2
ContentType Journal Article
Copyright 2024 Informa UK Limited, trading as Taylor & Francis Group 2024
Copyright_xml – notice: 2024 Informa UK Limited, trading as Taylor & Francis Group 2024
DBID AAYXX
CITATION
DOI 10.1080/0305215X.2024.2358922
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1029-0273
EndPage 1550
ExternalDocumentID 10_1080_0305215X_2024_2358922
2358922
Genre Research Article
GrantInformation_xml – fundername: Natural Sciences and Engineering Research Council of Canada (NSERC )
GroupedDBID -~X
.7F
.QJ
0BK
0R~
29G
2DF
30N
4.4
5GY
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACGOD
ACIWK
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DGEBU
DKSSO
EBS
E~A
E~B
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
NA5
NX~
O9-
P2P
PQQKQ
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEN
TFL
TFT
TFW
TN5
TNC
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
AAYXX
CITATION
ID FETCH-LOGICAL-c310t-688b583722fde917cf1b98fa09153bd333f1d1d939201ec0fff5fe28fca029453
ISSN 0305-215X
IngestDate Wed Oct 01 06:01:59 EDT 2025
Thu Apr 24 23:08:03 EDT 2025
Mon Oct 20 23:46:49 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c310t-688b583722fde917cf1b98fa09153bd333f1d1d939201ec0fff5fe28fca029453
PageCount 25
ParticipantIDs crossref_citationtrail_10_1080_0305215X_2024_2358922
crossref_primary_10_1080_0305215X_2024_2358922
informaworld_taylorfrancis_310_1080_0305215X_2024_2358922
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2025-06-03
PublicationDateYYYYMMDD 2025-06-03
PublicationDate_xml – month: 06
  year: 2025
  text: 2025-06-03
  day: 03
PublicationDecade 2020
PublicationTitle Engineering optimization
PublicationYear 2025
Publisher Taylor & Francis
Publisher_xml – name: Taylor & Francis
References e_1_3_4_4_1
e_1_3_4_3_1
e_1_3_4_2_1
Wang M. Y. (e_1_3_4_35_1) 2004; 6
e_1_3_4_9_1
e_1_3_4_8_1
e_1_3_4_20_1
e_1_3_4_6_1
e_1_3_4_5_1
e_1_3_4_23_1
e_1_3_4_24_1
e_1_3_4_21_1
e_1_3_4_22_1
e_1_3_4_27_1
e_1_3_4_28_1
e_1_3_4_25_1
e_1_3_4_26_1
e_1_3_4_29_1
Christensen R. M. (e_1_3_4_7_1) 2005
e_1_3_4_31_1
e_1_3_4_30_1
e_1_3_4_12_1
e_1_3_4_13_1
e_1_3_4_34_1
e_1_3_4_10_1
e_1_3_4_33_1
e_1_3_4_11_1
e_1_3_4_32_1
e_1_3_4_16_1
e_1_3_4_39_1
e_1_3_4_17_1
e_1_3_4_38_1
e_1_3_4_14_1
e_1_3_4_37_1
e_1_3_4_15_1
e_1_3_4_36_1
e_1_3_4_18_1
e_1_3_4_19_1
References_xml – ident: e_1_3_4_3_1
  doi: 10.1007/BF01650949
– ident: e_1_3_4_32_1
  doi: 10.4271/2023-01-0023
– ident: e_1_3_4_17_1
  doi: 10.1007/s00158-009-0440-y
– ident: e_1_3_4_34_1
  doi: 10.1016/S0045-7825(02)00559-5
– ident: e_1_3_4_18_1
  doi: 10.1007/s00158-019-02372-x
– ident: e_1_3_4_26_1
  doi: 10.1007/s00158-021-02893-4
– ident: e_1_3_4_19_1
  doi: 10.1007/BF01203536
– ident: e_1_3_4_38_1
  doi: 10.1016/0045-7949(95)00235-9
– ident: e_1_3_4_21_1
  doi: 10.4271/2021-01-0361
– ident: e_1_3_4_24_1
  doi: 10.1016/j.advengsoft.2009.03.006
– ident: e_1_3_4_36_1
  doi: 10.1007/s00158-020-02649-6
– ident: e_1_3_4_16_1
  doi: 10.3390/fib7020014
– ident: e_1_3_4_6_1
  doi: 10.1007/s00158-007-0203-6
– ident: e_1_3_4_12_1
  doi: 10.1007/s00158-012-0880-7
– ident: e_1_3_4_27_1
  doi: 10.1007/s00158-018-2094-0
– ident: e_1_3_4_4_1
  doi: 10.1016/0045-7825(88)90086-2
– ident: e_1_3_4_28_1
  doi: 10.1007/s00158-020-02657-6
– ident: e_1_3_4_14_1
  doi: 10.1002/9780470689486
– ident: e_1_3_4_30_1
  doi: 10.1007/s001580050176
– ident: e_1_3_4_25_1
  doi: 10.1007/BF01637666
– volume-title: Mechanics of Composite Materials
  year: 2005
  ident: e_1_3_4_7_1
– ident: e_1_3_4_20_1
  doi: 10.1177/13694332221088946
– ident: e_1_3_4_33_1
  doi: 10.1002/nme.1259
– ident: e_1_3_4_13_1
  doi: 10.4271/2023-01-0029
– ident: e_1_3_4_39_1
  doi: 10.1016/j.compstruct.2023.117572
– ident: e_1_3_4_9_1
  doi: 10.1016/j.compstruct.2021.114288
– ident: e_1_3_4_37_1
  doi: 10.1002/nme.5908
– volume: 6
  start-page: 547
  year: 2004
  ident: e_1_3_4_35_1
  article-title: Phase Field: A Variational Method for Structural Topology Optimization
  publication-title: Computer Modeling in Engineering & Sciences
– ident: e_1_3_4_11_1
  doi: 10.4271/2023-01-0030
– ident: e_1_3_4_29_1
  doi: 10.1108/EC-07-2021-0421
– ident: e_1_3_4_2_1
  doi: 10.1016/j.jcp.2003.09.032
– ident: e_1_3_4_22_1
  doi: 10.1016/j.compositesb.2019.107681
– ident: e_1_3_4_5_1
  doi: 10.1007/s00158-021-02941-z
– ident: e_1_3_4_8_1
  doi: 10.1007/BF01894077
– ident: e_1_3_4_15_1
  doi: 10.1007/s00158-019-02461-x
– ident: e_1_3_4_10_1
  doi: 10.1016/j.cma.2019.112812
– ident: e_1_3_4_31_1
  doi: 10.1016/S0022-5096(96)00114-7
– ident: e_1_3_4_23_1
  doi: 10.1007/s00158-008-0336-2
SSID ssj0013008
Score 2.409454
Snippet Research on multi-material topology optimization (MMTO) considering both isotropic and anisotropic materials as candidate materials is limited. Previous...
SourceID crossref
informaworld
SourceType Enrichment Source
Index Database
Publisher
StartPage 1526
SubjectTerms anisotropic material
isotropic material
Multi-material topology optimization
Title Multi-material topology optimization considering both isotropy and anisotropy with fibre orientation optimization
URI https://www.tandfonline.com/doi/abs/10.1080/0305215X.2024.2358922
Volume 57
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVLSH
  databaseName: aylor and Francis Online
  customDbUrl:
  mediaType: online
  eissn: 1029-0273
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0013008
  issn: 0305-215X
  databaseCode: AHDZW
  dateStart: 19970501
  isFulltext: true
  providerName: Library Specific Holdings
– providerCode: PRVAWR
  databaseName: Taylor & Francis Science and Technology Library-DRAA
  customDbUrl:
  eissn: 1029-0273
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0013008
  issn: 0305-215X
  databaseCode: 30N
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: http://www.tandfonline.com/page/title-lists
  providerName: Taylor & Francis
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3Pb9MwFLZKd4EDGgzE2IZ84Da5Suw4c47TfqggsVOntVwi24lFpdGUkR5A_PE8O07isIof4xKlaexUfl-f33P8fQ-htyepLCLJOZFMUWL1SoiQSpFIi4jKLCuVstzhD1fp9Dp5P-fz0ehHyC6p1UR_38oreYhV4RrY1bJk_8GyXadwAc7BvnAEC8Pxr2zs2LMEYk73MAgj142iUgV-4LMnWNp95a4kp10TUGCX4-XXqr6r1t-8Tmv30S3JGkifba2npeckrQadDdbxeyXD-_c40Ue3UWCxND0Apxu_PL3YfJJV__7fgfLd7fGi8hOpX4eg3O2XYh1yZvdKggSeDJwKgdhi3kw6jae1-26smE7oihutag-50K9ClJEGc7TNq7b6f79hkllKMp9D-k-TiSUDZw35-Rdpbf_NI7RDYU6IxmjndHr-8aZ_CxW5iobdz28ZYFabfdsjBrHNQPk2iFlmu-ipTzbwaYOcZ2hUrp6jJ4Hh9tCXIYZwiyEcmhQHGMIWQ7gFDQYM4R5D2GIIOwzhAEODzl6g68uL2dmU-DIcREPsX5NUCMUFO6HUFCVk99rEKhNGQqTJmSoYYyYu4iKDSDuKSx0ZY7gpqTBago0Tzl6i8apala8Q1kmaaWMElZDHFzJSTMEEVxiRQvbEy2wfJe0A5tpr1NtSKbd53ErZ-nHP7bjnftz30aRrtm5EWv7UIAutk9cOvKbBbc5-2_b1f7Q9QI_7v84hGtd3m_IIgtpavfHY-wlfbaMc
linkProvider Library Specific Holdings
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELYQDMDAG1GeHlgdHDsuyYgQVYG2Uyt1i2zHliogKSUdyq_nnEdpkYChQ4YMZznO5fzdxfd9CF3fNmVCpRBEcsWI4yshoVSKUB1SJqPIKOV6h7u9ZnsQPA3FcKEXxh2rdDm0LYkiiljtPm5XjK6PxN04J4WtagjpHQs81-wZMQjDGwLAvlMx4LT3_SeBFqp0zoQ4m7qL57dhlvanJfbShX2ntYt0PePyuMmLN82Vpz9_kDmu9kh7aKeCpfiu9KN9tGbSA7S9QFZ4iN6LXl0CCLdwWpyX8goznEHUeavaObGuBEDBBCvwAjz6yPJJNp5hmBtc81tXAMYWknWDs8mo6oBKlwY7QoPWQ_--TSrBBqIBJeakGYZKQMbLmE0M5IHa-ioKrQRMIrhKOOfWT_wkAkxGfaOptVZYw0KrJWVRIPgxWk-z1JwgrCFt19aGTELGl0iquIJQmNiwCThbmKiBgvo1xbpiM3eiGq-xX5OeVisauxWNqxVtIG9uNi7pPP4ziBZ9IM6LOootRU9i_qft6Qq2V2iz3e924s5j7_kMbTGnOuxqP_wcreeTqbkAKJSry8LXvwD9bP5A
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELYQSAgG3ojy9MDq4thJSEYEVOVVMVCpW2Q7tlQBSWnTofx6zolTWiRg6JAhw1mJczl_Z9_3HULnl6FIqQgCIrhkxOqVkEhISaiKKBNxrKW03OGnTtju-ve9oK4mHLmySptDm0oooozV9ucepKauiLuwPgorVQ-yO-Y3LdczZhCFV0J7KmZZHLTzfZBAy6Z01oRYm5rE89swc8vTnHjpzLLT2kSyfuCq2uS1OS5kU33-0HJc6I220IYDpfiq8qJttKSzHbQ-I1W4iz5Kpi4BfFu6LC6q5goTnEPMeXdkTqxc-08wwRJ8APdHeTHMBxMMjwbX9NZu_2IDqbrG-bDv-E_Z3GB7qNu6fbluE9eugSjAiAUJo0gGkO8yZlINWaAynowjIwCRBFymnHPjpV4aAyKjnlbUGBMYzSKjBGWxH_B9tJzlmT5AWEHSroyJmIB8LxVUcgmBMDVRCCg70HED-fVXSpTTMrctNd4Sr5Y8dTOa2BlN3Iw2UHNqNqjEPP4ziGddICnKXRRTtTxJ-J-2hwvYnqHV55tW8njXeThCa8y2HLYbP_wYLRfDsT4BHFTI09LTvwDc1_zk
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Multi-material+topology+optimization+considering+both+isotropy+and+anisotropy+with+fibre+orientation+optimization&rft.jtitle=Engineering+optimization&rft.au=Shi%2C+Yifan&rft.au=Huang%2C+Yuhao&rft.au=Kim%2C+Il+Yong&rft.date=2025-06-03&rft.pub=Taylor+%26+Francis&rft.issn=0305-215X&rft.eissn=1029-0273&rft.volume=57&rft.issue=6&rft.spage=1526&rft.epage=1550&rft_id=info:doi/10.1080%2F0305215X.2024.2358922&rft.externalDocID=2358922
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0305-215X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0305-215X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0305-215X&client=summon