A numerical method for predicting the deformation of crazed laminated windows under blast loading

Linz, Paolo Del; Liang, Xu; Hooper, Paul A.; Arora, Hari; Pascoe, Luke; Smith, David; Cormie, David; Dear, John P.

doi:10.1016/j.engstruct.2018.05.030

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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

Engineering Structures, Volume: 172, Pages: 29 - 40

Swansea University Author: Hari Arora

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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...

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Published in:	Engineering Structures
ISSN:	0141-0296
Published:	Elsevier BV 2018
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa40244
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first_indexed	2018-05-16T19:29:00Z
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spelling	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 MEDE 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 Biomedical Engineering COLLEGE CODE MEDE 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	2018-10-01T03:51:15Z
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score	11.017797

A numerical method for predicting the deformation of crazed laminated windows under blast loading

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