An elastic Lagrangian formulation for an unstiffened plate subject to blast loading is presented. Building on a previous formulation, which accounted for membrane strains from purely out-of-plane displacement, the addition of in-plane stretching highlights the importance of membrane action. Numerical results of the resulting system of non-linear differential equations from the new model are compared with a non-linear finite element analysis package in terms of the various displacements and membrane strains, with good correlation.
Lord CullenThe Public Inquiry into the Piper Alpha Disaster, 1990 (HMSO, London).
2.
HoulstonR.DesRochersC. G.Non-linear structural response of ship panels subjected to air blast loading blast loadingComput. Structs, 1987, 26 (1–2), 1–15.
3.
NurickG.OlsonM. D.FagnanJ. R.LevinA.Deformation and tearing of blast-loaded stiffened square platesInt. J. Impact Engng, 1995, 16, 273–291.
4.
LoucaL. A.PunjaniM.HardingJ. E.Non-linear analysis of blast walls and stiffened panels subjected to hydrocarbon explosionsInt. J. Construct. Steel Res., 1996, 37 (2), 93–113.
5.
JiangJ.OlsonM. D.New design analysis techniques for blast loaded stiffened box and cylindrical shell structuresInt. J. Impact Engng, 1993, 13, 189–202.
6.
JonesN.A theoretical study of the dynamic plastic behaviour of beams and plates with finite deflectionsInt. J. Solids Structs, 1971, 7, 1007–1029.
7.
JonesN.Influence of in-plane displacements at the boundaries of rigid-plastic beams and platesInt. J. Mech. Sci., 1973, 15, 547–561.
8.
SchleyerG.MihseinM.Development of mathematical models for dynamic analysis of structures. In First International Conference onStructural Design against Extreme Loads, 1992, pp. 3.2.1–3.2.11 (ERA Technology).
9.
BiggsJ. M.Introduction to Structural Dynamics, 1964 (McGraw-Hill).
10.
LoucaL. A.SchleyerG. K.Deformation and failure of plated structures under blast loading. In Proceedings of 7th Annual Conference onOffshore Installations: Fire and Explosion Engineering, 1999, Report 98–0958, pp. 4.1.1–4.1.17 (ERA Technology).
11.
LoucaL. A.HardingJ. E.Non-linear analysis of imperfect plates under transient lateral pressure loadingComput. Structs, 1997, 63 (1), 27–37.
12.
LoucaL. A.HardingJ. E.Response of plates to blast loading In Advances in Steel Structures: ICASS'96 (Eds ChanS. L.TengJ. G.), 1996, Vol. 2, pp. 677–684 (Pergamon, Oxford).
13.
ABAQUS/Explicit. Users Manual Version 5.7, 1997 (Hibbitt, Karlsson and Sorensen, Inc.).
14.
FoxC.An Introduction to the Calculus of Variations, 1987 (Dover, New York).
15.
TimoshenkoS. P.Woinowsky-KriegerS.Theory of Plates and Shells, 1959 (McGraw-Hill, New York).
16.
HuntG. W.WadeeM. A.Localization and mode interaction in sandwich structuresProc. R. Soc. Lond., A, 1998, 454 (1972), 1197–1216.
17.
DoedelE. J.ChampneysA. R.FairgrieveT. F.KuznetsovY. A.SandstedeB.WangX.-J.AUTO97: continuation and bifurcation software for ordinary differential equations. Technical Report, Department of Computer Science, Concordia University, Montreal, Canada, 1997. (Available by FTP from ftp.concordia.cain/pub/doedel/auto.)
18.
KellerH. B.Continuation and bifurcations in scientific computationMathematics Today, 2001, 37 (3), 76–83.
19.
WadeeM. A.BlackmoreA.Delamination from localized instabilities in compression sandwich panelsJ. Mech. Phys. Solids, 2001, 49 (6), 1281–1299.
20.
CloughR. W.PenzienJ.Dynamics of Structures, 1975 (McGraw-Hill, Singapore).
21.
BowermanH.OwensG. W.RumleyJ. H.TolloczkoJ. J. A.Interim guidance notes for the design and protection of topside structures against explosion and fire. Technical Report SCI-P-112, The Steel Construction Institute, 1992.
