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A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth

Zhanfeng Li Orcid Logo, Jiong Wang Orcid Logo, Mokarram Hossain Orcid Logo, Chennakesava Kadapa Orcid Logo

International Journal of Solids and Structures, Volume: 265-266, Start page: 112128

Swansea University Authors: Mokarram Hossain Orcid Logo, Chennakesava Kadapa Orcid Logo

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DOI (Published version): 10.1016/j.ijsolstr.2023.112128

Abstract

In this paper, we study the problem of shape-programming of incompressible hyperelastic shells through differential growth. The aim of the current work is to determine one of the possible growth tensors (or growth functions) that can produce the deformation of a shell to the desired shape. First, a...

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Published in: International Journal of Solids and Structures
ISSN: 0020-7683
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa62423
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The aim of the current work is to determine one of the possible growth tensors (or growth functions) that can produce the deformation of a shell to the desired shape. First, a consistent finite-strain shell theory is introduced. The shell equation system is established from the 3D governing system through a series expansion and truncation approach. Based on the shell theory, the problem of shape-programming is studied under the stress-free assumption. For a special case in which the parametric coordinate curves generate a net of curvature lines on the target surface, the sufficient condition to ensure the vanishing of the stress components is analyzed, from which the explicit expression of the growth tensor can be derived. In the general case, we conduct the variable changes and derive the total growth tensor by considering a two-step deformation of the shell. With these obtained results, a general theoretical scheme for shape-programming of thin hyperelastic shells through differential growth is proposed. To demonstrate the feasibility and efficiency of the proposed scheme, several typical examples are studied. The derived growth tensors in these examples have also been implemented in the numerical simulations toverify their correctness and accuracy. The simulation results show that thetarg et shapes of the shell samples can be recovered completely. The scheme for shape-programming proposed in the current work is helpful in designing and manufacturing intelligent soft devices.</abstract><type>Journal Article</type><journal>International Journal of Solids and Structures</journal><volume>265-266</volume><journalNumber/><paginationStart>112128</paginationStart><paginationEnd/><publisher>Elsevier BV</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0020-7683</issnPrint><issnElectronic/><keywords>Hyperelastic shell, Differential growth, Shape-programming, Theoretical scheme, Numerical simulations</keywords><publishedDay>15</publishedDay><publishedMonth>3</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-03-15</publishedDate><doi>10.1016/j.ijsolstr.2023.112128</doi><url/><notes/><college>COLLEGE NANME</college><department>General Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>GENG</DepartmentCode><institution>Swansea University</institution><apcterm/><funders>This work is supported by the National Natural Science Foundation of China (Project No.: 11872184). Z.L. is supported by the China Scholarship Council (CSC) Grant #202106150121. M.H. and Z. L. are indebted to the funding through an Engineering and Physical Sciences Research Council (EPSRC), United Kingdom Impact Acceleration Award (EP/R511614/1).</funders><projectreference/><lastEdited>2023-02-14T15:05:47.5273003</lastEdited><Created>2023-01-24T10:14:38.1849096</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering</level></path><authors><author><firstname>Zhanfeng</firstname><surname>Li</surname><orcid>0000-0001-5458-3123</orcid><order>1</order></author><author><firstname>Jiong</firstname><surname>Wang</surname><orcid>0000-0002-8822-3596</orcid><order>2</order></author><author><firstname>Mokarram</firstname><surname>Hossain</surname><orcid>0000-0002-4616-1104</orcid><order>3</order></author><author><firstname>Chennakesava</firstname><surname>Kadapa</surname><orcid>0000-0001-6092-9047</orcid><order>4</order></author></authors><documents><document><filename>Under embargo</filename><originalFilename>Under embargo</originalFilename><uploaded>2023-01-24T10:28:15.2152304</uploaded><type>Output</type><contentLength>3353868</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2024-01-24T00:00:00.0000000</embargoDate><documentNotes>&#xA9;2023 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND)</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>https://creativecommons.org/licenses/by-nc-nd/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2023-02-14T15:05:47.5273003 v2 62423 2023-01-24 A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 2023-01-24 GENG In this paper, we study the problem of shape-programming of incompressible hyperelastic shells through differential growth. The aim of the current work is to determine one of the possible growth tensors (or growth functions) that can produce the deformation of a shell to the desired shape. First, a consistent finite-strain shell theory is introduced. The shell equation system is established from the 3D governing system through a series expansion and truncation approach. Based on the shell theory, the problem of shape-programming is studied under the stress-free assumption. For a special case in which the parametric coordinate curves generate a net of curvature lines on the target surface, the sufficient condition to ensure the vanishing of the stress components is analyzed, from which the explicit expression of the growth tensor can be derived. In the general case, we conduct the variable changes and derive the total growth tensor by considering a two-step deformation of the shell. With these obtained results, a general theoretical scheme for shape-programming of thin hyperelastic shells through differential growth is proposed. To demonstrate the feasibility and efficiency of the proposed scheme, several typical examples are studied. The derived growth tensors in these examples have also been implemented in the numerical simulations toverify their correctness and accuracy. The simulation results show that thetarg et shapes of the shell samples can be recovered completely. The scheme for shape-programming proposed in the current work is helpful in designing and manufacturing intelligent soft devices. Journal Article International Journal of Solids and Structures 265-266 112128 Elsevier BV 0020-7683 Hyperelastic shell, Differential growth, Shape-programming, Theoretical scheme, Numerical simulations 15 3 2023 2023-03-15 10.1016/j.ijsolstr.2023.112128 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University This work is supported by the National Natural Science Foundation of China (Project No.: 11872184). Z.L. is supported by the China Scholarship Council (CSC) Grant #202106150121. M.H. and Z. L. are indebted to the funding through an Engineering and Physical Sciences Research Council (EPSRC), United Kingdom Impact Acceleration Award (EP/R511614/1). 2023-02-14T15:05:47.5273003 2023-01-24T10:14:38.1849096 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Zhanfeng Li 0000-0001-5458-3123 1 Jiong Wang 0000-0002-8822-3596 2 Mokarram Hossain 0000-0002-4616-1104 3 Chennakesava Kadapa 0000-0001-6092-9047 4 Under embargo Under embargo 2023-01-24T10:28:15.2152304 Output 3353868 application/pdf Accepted Manuscript true 2024-01-24T00:00:00.0000000 ©2023 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
spellingShingle A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
Mokarram Hossain
Chennakesava Kadapa
title_short A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
title_full A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
title_fullStr A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
title_full_unstemmed A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
title_sort A general theoretical scheme for shape-programming of incompressible hyperelastic shells through differential growth
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
de01927f8c2c4ad9dcc034c327ac8de1
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava Kadapa
author Mokarram Hossain
Chennakesava Kadapa
author2 Zhanfeng Li
Jiong Wang
Mokarram Hossain
Chennakesava Kadapa
format Journal article
container_title International Journal of Solids and Structures
container_volume 265-266
container_start_page 112128
publishDate 2023
institution Swansea University
issn 0020-7683
doi_str_mv 10.1016/j.ijsolstr.2023.112128
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 0
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description In this paper, we study the problem of shape-programming of incompressible hyperelastic shells through differential growth. The aim of the current work is to determine one of the possible growth tensors (or growth functions) that can produce the deformation of a shell to the desired shape. First, a consistent finite-strain shell theory is introduced. The shell equation system is established from the 3D governing system through a series expansion and truncation approach. Based on the shell theory, the problem of shape-programming is studied under the stress-free assumption. For a special case in which the parametric coordinate curves generate a net of curvature lines on the target surface, the sufficient condition to ensure the vanishing of the stress components is analyzed, from which the explicit expression of the growth tensor can be derived. In the general case, we conduct the variable changes and derive the total growth tensor by considering a two-step deformation of the shell. With these obtained results, a general theoretical scheme for shape-programming of thin hyperelastic shells through differential growth is proposed. To demonstrate the feasibility and efficiency of the proposed scheme, several typical examples are studied. The derived growth tensors in these examples have also been implemented in the numerical simulations toverify their correctness and accuracy. The simulation results show that thetarg et shapes of the shell samples can be recovered completely. The scheme for shape-programming proposed in the current work is helpful in designing and manufacturing intelligent soft devices.
published_date 2023-03-15T04:22:01Z
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score 11.012678

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