A general scheme is proposed for including effects of elastic deformation, finite geometry changes, and strain rate sensitivity in a simple approximate scheme for estimating maximum transient and permanent deformations in structures subjected to load pulses of high intensity. The method is applied here to fully clamped beams of mild steel subjected to explosive loading. Comparisons are made between estimates from the present method and test results, as well as with estimates by various rigid-plastic methods and (to a limited extent) with results from numerical methods.
Get full access to this article
View all access options for this article.
References
1.
SymondsP. S.RaphanelJ. L.‘Large deflections of impulsively loaded plane frames—extensions of the mode approximation technique’, Proceedings of the conference on mechanical properties of materials at high rates of strain, 1979, Conf. Ser. No. 47 (Editor HardingJ.), pp. 277–287 (Institute of Physics, London and Bristol).
2.
MartinJ. B.SymondsP. S.‘Mode approximations for impulsively loaded rigid-plastic structures’, J. Eng. Mech. Div. Proc. ASCE196692 (EM5), 43–66.
3.
MartinJ. B.‘A note on uniqueness of solutions for dynamically loaded rigid-plastic and rigid-viscoplastic continua’, J. Appl. Mech.196633, 207–209.
4.
SymondsP. S.JonesN. ‘Impulsive loading of fully clamped beams with finite plastic deflections and strain-rate sensitivity’, Int. J. Mech. Sci.197214, 49–69.
5.
LindholmU. S.BesseyR. L.‘Elastic-viscoplastic response of clamped beams under uniformly distributed impulse’, Report No. AFML-TR-68–396 of Southwest Research Institute, Department of Materials Science to Air Force Materials Laboratory, Air Force Systems Command, January 1969.
6.
WitmerE. A.MerlisF.SpilkerR. L.‘Experimental transient and permanent deformation studies of steel-sphere-impacted or impulsively loaded aluminum beams with clamped ends’, NASA CR 123922, MIT ASRL TR 154–11, NASA Grant NGR 22–009–339, October 1975, pp. 1–102.
7.
CloughR. W.PenzienJ. Dynamics of structures1975, (McGraw-Hill, New York).
8.
BodnerS. R.SymondsP. S.‘Experimental and theoretical investigation of the plastic deformation of cantilever beams subjected to impulsive loading’, J. Appl. Mech.196229 (4), 719–727.
9.
ForrestalM. J.WesenbergD. L.‘Elasticplastic response of simply-supported 1018 steel beams to impulse loads’, J. Appl. Mech.197744, 779–780.
10.
SymondsP. S.‘Finite elastic and plastic deformations of pulse loaded structures by an extended mode technique’, Report ARO 79/2, Brown University Division of Engineering to U.S. Army Research Office under Grant DAAG29–78-G-0085, January 1980. Int. J. Mech. Sci. (in press).
11.
WitmerE. A.BalmerH. A.LeechJ. W.PianT. H. H.‘Large dynamic deformations of beams, rings, plates and shells’, AIAA Journal19631 (8), 1848–1857.
12.
BalmerH. A.‘Improved computer programs—DEPROSS 1, 2, and 3—to calculate the dynamic elastic-plastic two-dimensional responses of impulsively loaded beams, rings, plates, and shells of revolution’, Report ASRL TR 128–3, MIT Aeroelastic and Structures Research Laboratory, August, 1965.
13.
SymondsP. S.‘Survey of methods of analysis for plastic deformation of structures under dynamic loading’, Report BU/NSRDC/1–67, from Brown University to Office of Naval Research, Naval Ship Research and Development Center, Contract Nonr 3248(01)(X), June 1967.