Journal article 1254 views 137 downloads
A numerical method for predicting the deformation of crazed laminated windows under blast loading
Paolo Del Linz,
Xu Liang,
Paul A. Hooper,
Hari Arora 
,
Luke Pascoe,
David Smith,
David Cormie,
John P. Dear
,
Luke Pascoe,
David Smith,
David Cormie,
John P. Dear
Engineering Structures, Volume: 172, Pages: 29 - 40
Swansea University Author:
Hari Arora
-
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© 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license.
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DOI (Published version): 10.1016/j.engstruct.2018.05.030
Abstract
The design of laminated glazing for blast resistance is significantly complicated by the post-crack behaviour of glass layers. In this research, a novel numerical method based on a semi-analytical energy model is proposed for the post-crack behaviour of crazed panes. To achieve this, the non-homogen...
| Published in: | Engineering Structures |
|---|---|
| ISSN: | 0141-0296 |
| Published: |
Elsevier BV
2018
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa40244 |
| first_indexed |
2018-05-16T19:29:00Z |
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| last_indexed |
2020-08-15T03:00:29Z |
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cronfa40244 |
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<?xml version="1.0"?><rfc1807><datestamp>2020-08-14T13:09:27.8140843</datestamp><bib-version>v2</bib-version><id>40244</id><entry>2018-05-16</entry><title>A numerical method for predicting the deformation of crazed laminated windows under blast loading</title><swanseaauthors><author><sid>ed7371c768e9746008a6807f9f7a1555</sid><ORCID>0000-0002-9790-0907</ORCID><firstname>Hari</firstname><surname>Arora</surname><name>Hari Arora</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2018-05-16</date><deptcode>EAAS</deptcode><abstract>The design of laminated glazing for blast resistance is significantly complicated by the post-crack behaviour of glass layers. In this research, a novel numerical method based on a semi-analytical energy model is proposed for the post-crack behaviour of crazed panes. To achieve this, the non-homogenous glass cracks patterns observed in literature experimental and analytical work was taken into consideration. It was assumed that, after the glass crazing, further deformations would occur in the cracked edge areas, whilst the central window surface would remain largely undeformed. Therefore, different internal work expressions were formulated for each zone and were then combined in the overall model. The resulting differential equation was then solved numerically. The results obtained were compared with data from four experimental full-scale blast tests for validation. Three of these blast tests (Tests 1–3) were presented previously (Hooper et al., 2012) on 1.5 × 1.2 m laminated glazing samples made up with two 3 mm glass layers and a central 1.52 mm PVB membrane, using a 15 and 30 kg charge masses (TNT equivalent) at 13–16 m stand-off. The fourth blast test (Test 4) was conducted on a larger 3.6 × 2.0 m pane of 13.52 mm thickness, using a 100 kg charge mass (TNT equivalent) at a 17 m stand-off. All blast tests employed the Digital Image Correlation (DIC) technique to obtain 3D out-of-plane deflections and strains.The proposed analytical method reproduced the experimental deflection profiles, with the best estimates obtained for the more severe loading cases. Reaction forces were also compared with experimental estimates. The predictive ability of the proposed method could permit more accurate designs to be produced rapidly, improving structures resistance to such loadings.</abstract><type>Journal Article</type><journal>Engineering Structures</journal><volume>172</volume><paginationStart>29</paginationStart><paginationEnd>40</paginationEnd><publisher>Elsevier BV</publisher><issnPrint>0141-0296</issnPrint><keywords/><publishedDay>1</publishedDay><publishedMonth>10</publishedMonth><publishedYear>2018</publishedYear><publishedDate>2018-10-01</publishedDate><doi>10.1016/j.engstruct.2018.05.030</doi><url/><notes/><college>COLLEGE NANME</college><department>Engineering and Applied Sciences School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>EAAS</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-08-14T13:09:27.8140843</lastEdited><Created>2018-05-16T14:19:36.7351828</Created><authors><author><firstname>Paolo Del</firstname><surname>Linz</surname><order>1</order></author><author><firstname>Xu</firstname><surname>Liang</surname><order>2</order></author><author><firstname>Paul A.</firstname><surname>Hooper</surname><order>3</order></author><author><firstname>Hari</firstname><surname>Arora</surname><orcid>0000-0002-9790-0907</orcid><order>4</order></author><author><firstname>Luke</firstname><surname>Pascoe</surname><order>5</order></author><author><firstname>David</firstname><surname>Smith</surname><order>6</order></author><author><firstname>David</firstname><surname>Cormie</surname><order>7</order></author><author><firstname>John P.</firstname><surname>Dear</surname><order>8</order></author></authors><documents><document><filename>40244__17477__372fe1a6d0b24bceb90ecc2b95982a32.pdf</filename><originalFilename>40244.pdf</originalFilename><uploaded>2020-06-11T14:07:28.2150260</uploaded><type>Output</type><contentLength>2623102</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>© 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/BY/4.0/</licence></document></documents><OutputDurs/></rfc1807> |
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2020-08-14T13:09:27.8140843 v2 40244 2018-05-16 A numerical method for predicting the deformation of crazed laminated windows under blast loading ed7371c768e9746008a6807f9f7a1555 0000-0002-9790-0907 Hari Arora Hari Arora true false 2018-05-16 EAAS The design of laminated glazing for blast resistance is significantly complicated by the post-crack behaviour of glass layers. In this research, a novel numerical method based on a semi-analytical energy model is proposed for the post-crack behaviour of crazed panes. To achieve this, the non-homogenous glass cracks patterns observed in literature experimental and analytical work was taken into consideration. It was assumed that, after the glass crazing, further deformations would occur in the cracked edge areas, whilst the central window surface would remain largely undeformed. Therefore, different internal work expressions were formulated for each zone and were then combined in the overall model. The resulting differential equation was then solved numerically. The results obtained were compared with data from four experimental full-scale blast tests for validation. Three of these blast tests (Tests 1–3) were presented previously (Hooper et al., 2012) on 1.5 × 1.2 m laminated glazing samples made up with two 3 mm glass layers and a central 1.52 mm PVB membrane, using a 15 and 30 kg charge masses (TNT equivalent) at 13–16 m stand-off. The fourth blast test (Test 4) was conducted on a larger 3.6 × 2.0 m pane of 13.52 mm thickness, using a 100 kg charge mass (TNT equivalent) at a 17 m stand-off. All blast tests employed the Digital Image Correlation (DIC) technique to obtain 3D out-of-plane deflections and strains.The proposed analytical method reproduced the experimental deflection profiles, with the best estimates obtained for the more severe loading cases. Reaction forces were also compared with experimental estimates. The predictive ability of the proposed method could permit more accurate designs to be produced rapidly, improving structures resistance to such loadings. Journal Article Engineering Structures 172 29 40 Elsevier BV 0141-0296 1 10 2018 2018-10-01 10.1016/j.engstruct.2018.05.030 COLLEGE NANME Engineering and Applied Sciences School COLLEGE CODE EAAS Swansea University 2020-08-14T13:09:27.8140843 2018-05-16T14:19:36.7351828 Paolo Del Linz 1 Xu Liang 2 Paul A. Hooper 3 Hari Arora 0000-0002-9790-0907 4 Luke Pascoe 5 David Smith 6 David Cormie 7 John P. Dear 8 40244__17477__372fe1a6d0b24bceb90ecc2b95982a32.pdf 40244.pdf 2020-06-11T14:07:28.2150260 Output 2623102 application/pdf Version of Record true © 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license. true eng http://creativecommons.org/licenses/BY/4.0/ |
| title |
A numerical method for predicting the deformation of crazed laminated windows under blast loading |
| spellingShingle |
A numerical method for predicting the deformation of crazed laminated windows under blast loading Hari Arora |
| title_short |
A numerical method for predicting the deformation of crazed laminated windows under blast loading |
| title_full |
A numerical method for predicting the deformation of crazed laminated windows under blast loading |
| title_fullStr |
A numerical method for predicting the deformation of crazed laminated windows under blast loading |
| title_full_unstemmed |
A numerical method for predicting the deformation of crazed laminated windows under blast loading |
| title_sort |
A numerical method for predicting the deformation of crazed laminated windows under blast loading |
| author_id_str_mv |
ed7371c768e9746008a6807f9f7a1555 |
| author_id_fullname_str_mv |
ed7371c768e9746008a6807f9f7a1555_***_Hari Arora |
| author |
Hari Arora |
| author2 |
Paolo Del Linz Xu Liang Paul A. Hooper Hari Arora Luke Pascoe David Smith David Cormie John P. Dear |
| format |
Journal article |
| container_title |
Engineering Structures |
| container_volume |
172 |
| container_start_page |
29 |
| publishDate |
2018 |
| institution |
Swansea University |
| issn |
0141-0296 |
| doi_str_mv |
10.1016/j.engstruct.2018.05.030 |
| publisher |
Elsevier BV |
| document_store_str |
1 |
| active_str |
0 |
| description |
The design of laminated glazing for blast resistance is significantly complicated by the post-crack behaviour of glass layers. In this research, a novel numerical method based on a semi-analytical energy model is proposed for the post-crack behaviour of crazed panes. To achieve this, the non-homogenous glass cracks patterns observed in literature experimental and analytical work was taken into consideration. It was assumed that, after the glass crazing, further deformations would occur in the cracked edge areas, whilst the central window surface would remain largely undeformed. Therefore, different internal work expressions were formulated for each zone and were then combined in the overall model. The resulting differential equation was then solved numerically. The results obtained were compared with data from four experimental full-scale blast tests for validation. Three of these blast tests (Tests 1–3) were presented previously (Hooper et al., 2012) on 1.5 × 1.2 m laminated glazing samples made up with two 3 mm glass layers and a central 1.52 mm PVB membrane, using a 15 and 30 kg charge masses (TNT equivalent) at 13–16 m stand-off. The fourth blast test (Test 4) was conducted on a larger 3.6 × 2.0 m pane of 13.52 mm thickness, using a 100 kg charge mass (TNT equivalent) at a 17 m stand-off. All blast tests employed the Digital Image Correlation (DIC) technique to obtain 3D out-of-plane deflections and strains.The proposed analytical method reproduced the experimental deflection profiles, with the best estimates obtained for the more severe loading cases. Reaction forces were also compared with experimental estimates. The predictive ability of the proposed method could permit more accurate designs to be produced rapidly, improving structures resistance to such loadings. |
| published_date |
2018-10-01T19:25:08Z |
| _version_ |
1821344119672274944 |
| score |
11.04748 |