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Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration
Nonlinear Dynamics, Volume: 111, Issue: 2, Pages: 1019 - 1045
Swansea University Authors: Qicheng Zhang, Yuying Xia, Alexander Shaw
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DOI (Published version): 10.1007/s11071-022-07916-3
Abstract
The work describes experiments and models related to auxetic (negative Poisson’s ratio) foams subjected to low-frequency and variable amplitude 3-point bending loading. A custom 3-point bending vibration test rig is designed and used to perform the dynamic test of auxetic PU foam beams within low-fr...
Published in: | Nonlinear Dynamics |
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ISSN: | 0924-090X 1573-269X |
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Springer Science and Business Media LLC
2023
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URI: | https://cronfa.swan.ac.uk/Record/cronfa61566 |
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A custom 3-point bending vibration test rig is designed and used to perform the dynamic test of auxetic PU foam beams within low-frequency range (1–20 Hz) and 5 different displacement amplitudes. The auxetic foams tested in this work are manufactured using a simplified and relatively low-cost uniaxially thermoforming compression technique, which leads to the production of foams with transverse isotropic characteristics. Auxetic foam beam samples with two different cutting orientations and different thermoforming compression ratios rc (20–80%) are tested and compared, also with the use of theoretical Euler–Bernoulli-based and finite element models. The dynamic modulus of the foams increases with rc, ranging between 0.5 and 5 MPa, while the dynamic loss factor is marginally affected by the compression ratio, with overall values between 0.2 and 0.3. The auxetic PU foam has a noticeable amplitude-dependent stiffness and loss factors, while the dynamic modulus increases but slightly decreases with the frequency. The dynamic modulus is also 20–40% larger than the quasi-static one, while the dynamic and static loss factors are quite close. A modified Bouc–Wen model is also further developed to capture the amplitude and frequency-dependent properties of the conventional and auxetic foams with different volumetric compression ratios. The model shows a good agreement with the experimental results.</abstract><type>Journal Article</type><journal>Nonlinear Dynamics</journal><volume>111</volume><journalNumber>2</journalNumber><paginationStart>1019</paginationStart><paginationEnd>1045</paginationEnd><publisher>Springer Science and Business Media LLC</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0924-090X</issnPrint><issnElectronic>1573-269X</issnElectronic><keywords>Auxetic foam; 3-point bending test; Bouc–Wen model; Nagy’s model; Dynamic modulus; Loss factor</keywords><publishedDay>1</publishedDay><publishedMonth>1</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-01-01</publishedDate><doi>10.1007/s11071-022-07916-3</doi><url/><notes>Data availability:Enquiries about data availability should be directed to the authors.</notes><college>COLLEGE NANME</college><department>Science and Engineering - Faculty</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>FGSEN</DepartmentCode><institution>Swansea University</institution><apcterm>SU Library paid the OA fee (TA Institutional Deal)</apcterm><funders>This project has been supported by the UK Engineering and Physical Sciences Research Council (EPSRC) EP/R032793/1 SYSDYMATS. QZ acknowledges the support of the IMPACT fellowship from Swansea University. FS also acknowledges the support of the ERC-2020-AdG 101020715 NEUROMETA project.</funders><projectreference/><lastEdited>2023-01-26T11:25:01.1894862</lastEdited><Created>2022-10-17T09:48:29.0976137</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering</level></path><authors><author><firstname>Qicheng</firstname><surname>Zhang</surname><order>1</order></author><author><firstname>Xindi</firstname><surname>Yu</surname><order>2</order></author><author><firstname>Fabrizio</firstname><surname>Scarpa</surname><orcid>0000-0002-5470-4834</orcid><order>3</order></author><author><firstname>David</firstname><surname>Barton</surname><order>4</order></author><author><firstname>Yuying</firstname><surname>Xia</surname><order>5</order></author><author><firstname>Alexander</firstname><surname>Shaw</surname><orcid>0000-0002-7521-827X</orcid><order>6</order></author><author><firstname>Yunpeng</firstname><surname>Zhu</surname><order>7</order></author><author><firstname>Zi-Qiang</firstname><surname>Lang</surname><order>8</order></author></authors><documents><document><filename>61566__25503__43e413645c48453380275e41ced9be29.pdf</filename><originalFilename>61566_VoR.pdf</originalFilename><uploaded>2022-10-19T14:21:19.8819253</uploaded><type>Output</type><contentLength>9596171</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>Copyright: The Author(s) 2022. 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2023-01-26T11:25:01.1894862 v2 61566 2022-10-17 Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration 8ff09bdb2a479fcc8d203f099b148f69 Qicheng Zhang Qicheng Zhang true false 483e362fc8a1510c358421ef303aff69 Yuying Xia Yuying Xia true false 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 2022-10-17 FGSEN The work describes experiments and models related to auxetic (negative Poisson’s ratio) foams subjected to low-frequency and variable amplitude 3-point bending loading. A custom 3-point bending vibration test rig is designed and used to perform the dynamic test of auxetic PU foam beams within low-frequency range (1–20 Hz) and 5 different displacement amplitudes. The auxetic foams tested in this work are manufactured using a simplified and relatively low-cost uniaxially thermoforming compression technique, which leads to the production of foams with transverse isotropic characteristics. Auxetic foam beam samples with two different cutting orientations and different thermoforming compression ratios rc (20–80%) are tested and compared, also with the use of theoretical Euler–Bernoulli-based and finite element models. The dynamic modulus of the foams increases with rc, ranging between 0.5 and 5 MPa, while the dynamic loss factor is marginally affected by the compression ratio, with overall values between 0.2 and 0.3. The auxetic PU foam has a noticeable amplitude-dependent stiffness and loss factors, while the dynamic modulus increases but slightly decreases with the frequency. The dynamic modulus is also 20–40% larger than the quasi-static one, while the dynamic and static loss factors are quite close. A modified Bouc–Wen model is also further developed to capture the amplitude and frequency-dependent properties of the conventional and auxetic foams with different volumetric compression ratios. The model shows a good agreement with the experimental results. Journal Article Nonlinear Dynamics 111 2 1019 1045 Springer Science and Business Media LLC 0924-090X 1573-269X Auxetic foam; 3-point bending test; Bouc–Wen model; Nagy’s model; Dynamic modulus; Loss factor 1 1 2023 2023-01-01 10.1007/s11071-022-07916-3 Data availability:Enquiries about data availability should be directed to the authors. COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University SU Library paid the OA fee (TA Institutional Deal) This project has been supported by the UK Engineering and Physical Sciences Research Council (EPSRC) EP/R032793/1 SYSDYMATS. QZ acknowledges the support of the IMPACT fellowship from Swansea University. FS also acknowledges the support of the ERC-2020-AdG 101020715 NEUROMETA project. 2023-01-26T11:25:01.1894862 2022-10-17T09:48:29.0976137 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Qicheng Zhang 1 Xindi Yu 2 Fabrizio Scarpa 0000-0002-5470-4834 3 David Barton 4 Yuying Xia 5 Alexander Shaw 0000-0002-7521-827X 6 Yunpeng Zhu 7 Zi-Qiang Lang 8 61566__25503__43e413645c48453380275e41ced9be29.pdf 61566_VoR.pdf 2022-10-19T14:21:19.8819253 Output 9596171 application/pdf Version of Record true Copyright: The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/ |
title |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration |
spellingShingle |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration Qicheng Zhang Yuying Xia Alexander Shaw |
title_short |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration |
title_full |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration |
title_fullStr |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration |
title_full_unstemmed |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration |
title_sort |
Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration |
author_id_str_mv |
8ff09bdb2a479fcc8d203f099b148f69 483e362fc8a1510c358421ef303aff69 10cb5f545bc146fba9a542a1d85f2dea |
author_id_fullname_str_mv |
8ff09bdb2a479fcc8d203f099b148f69_***_Qicheng Zhang 483e362fc8a1510c358421ef303aff69_***_Yuying Xia 10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw |
author |
Qicheng Zhang Yuying Xia Alexander Shaw |
author2 |
Qicheng Zhang Xindi Yu Fabrizio Scarpa David Barton Yuying Xia Alexander Shaw Yunpeng Zhu Zi-Qiang Lang |
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Nonlinear Dynamics |
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111 |
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1019 |
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Swansea University |
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0924-090X 1573-269X |
doi_str_mv |
10.1007/s11071-022-07916-3 |
publisher |
Springer Science and Business Media LLC |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering |
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description |
The work describes experiments and models related to auxetic (negative Poisson’s ratio) foams subjected to low-frequency and variable amplitude 3-point bending loading. A custom 3-point bending vibration test rig is designed and used to perform the dynamic test of auxetic PU foam beams within low-frequency range (1–20 Hz) and 5 different displacement amplitudes. The auxetic foams tested in this work are manufactured using a simplified and relatively low-cost uniaxially thermoforming compression technique, which leads to the production of foams with transverse isotropic characteristics. Auxetic foam beam samples with two different cutting orientations and different thermoforming compression ratios rc (20–80%) are tested and compared, also with the use of theoretical Euler–Bernoulli-based and finite element models. The dynamic modulus of the foams increases with rc, ranging between 0.5 and 5 MPa, while the dynamic loss factor is marginally affected by the compression ratio, with overall values between 0.2 and 0.3. The auxetic PU foam has a noticeable amplitude-dependent stiffness and loss factors, while the dynamic modulus increases but slightly decreases with the frequency. The dynamic modulus is also 20–40% larger than the quasi-static one, while the dynamic and static loss factors are quite close. A modified Bouc–Wen model is also further developed to capture the amplitude and frequency-dependent properties of the conventional and auxetic foams with different volumetric compression ratios. The model shows a good agreement with the experimental results. |
published_date |
2023-01-01T04:20:29Z |
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1763754355227361280 |
score |
10.993396 |