DOI: 10.1115/1.1778416. Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading

Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading

10.1115/1.1778416

Crossref journal-article

ASME International

Journal of Applied Mechanics (33)

Abstract

An analytical model is developed for the deformation response of clamped circular sandwich plates subjected to shock loading in air and in water. The deformation history is divided into three sequential stages and analytical expressions are derived for the deflection, degree of core compression, and for the overall structural response time. An explicit finite element method is employed to assess the accuracy of the analytical formulas for the simplified case where the effects of fluid-structure interaction are neglected. The sandwich panel response has only a low sensitivity to the magnitude of the core compressive strength and to the degree of strain hardening in the face-sheets. The finite element results confirm the accuracy of the analytical predictions for the rigid ideally plastic sandwich plates. The analytical formulas are employed to determine optimal geometries of the sandwich plates that maximize the shock resistance of the plates for a given mass. The optimization reveals that sandwich plates have a superior shock resistance relative to monolithic plates of the same mass.

Bibliography

Qiu, X., Deshpande, V. S., & Fleck, N. A. (2004). Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading. Journal of Applied Mechanics, 71(5), 637â645.

Authors 3

X. Qiu (first)
V. S. Deshpande (additional)
N. A. Fleck (additional)

References 13 Referenced 156

Wang, A. J., and Hopkins, H. G., 1954, “On the Plastic Deformation of Built-in-Circular Plates Under Impulsive Load,” J. Mech. Phys. Solids, 3, pp. 22–37. (10.1016/0022-5096(54)90036-8)
Symmonds, P. S., 1954, “Large Plastic Deformations of Beams Under Blast Type Loading,” Proceedings of the Second US National Congress of Applied Mechanics, pp. 505–515.
Jones, N. , 1971, “A Theoretical Study of the Dynamic Plastic Behavior of Beams and Plates With Finite Deflections,” Int. J. Solids Struct., 7, pp. 1007–1029. (10.1016/0020-7683(71)90078-3)
Jones, N., 1989, Structural Impact, Cambridge University Press, Cambridge, UK.
Xue, Z., and Hutchinson, J. W., 2003, “A Preliminary Assessment of Sandwich Plates Subject to Blast Loads,” Int. J. Mech. Sci., 45, pp. 687–705. (10.1016/S0020-7403(03)00108-5)
Fleck, N. A., and Deshpande, V. S., 2004, “The Resistance of Clamped Sandwich Beams to Shock Loading,” ASME J. Appl. Mech., 71, 386–401. (10.1115/1.1629109)
Qiu, X., Deshpande, V. S., and Fleck, N. A., 2003, “Finite Element Analysis of the Dynamic Response of Clamped Sandwich Beams Subject to Shock Loading,” Eur. J. Mech. A/Solids, 22, 801–814. (10.1016/j.euromechsol.2003.09.002)
Taylor, G. I., 1963, The Scientific Papers of G I Taylor, Vol III, pages 287–303. Cambridge University Press, Cambridge, UK, pp. 287–303 (The Pressure and Impulse of Submarine Explosion Waves on Plates, 1941).
Cole, R. H., 1948, Underwater Explosions, Princeton University Press, Princeton, NJ. (10.5962/bhl.title.48411)
Jones, N., and Gomes de Oliveira, J., 1980, “Dynamic Plastic Response of Circular Plates With Transverse Shear and Rotary Inertia,” ASME J. Appl. Mech., 47, pp. 27–34. (10.1115/1.3153633)
Perrone, N., and Bhadra, P., 1984, “Simplified Large Deflection Mode Solutions for Impulsively Loaded, Viscoplastic, Circular Membranes,” ASME J. Appl. Mech., 51, pp. 505–509. (10.1115/1.3167665)
Deshpande, V. S., and Fleck, N. A., 2000, “Isotropic Constitutive Models for Metallic Foams,” J. Mech. Phys. Solids, 48(6–7), pp. 1253–1283. (10.1016/S0022-5096(99)00082-4)
Deshpande, V. S., Fleck, N. A., and Ashby, M. F., 2001, “Effective Properties of the Octet-Truss Lattice Material,” J. Mech. Phys. Solids, 49(8), pp. 1747–1769. (10.1016/S0022-5096(01)00010-2)

Dates

Type	When
Created	20 years, 9 months ago (Nov. 9, 2004, 6:03 p.m.)
Deposited	5 years, 10 months ago (Oct. 5, 2019, 8:39 p.m.)
Indexed	1 week, 2 days ago (Aug. 19, 2025, 7:05 a.m.)
Issued	20 years, 11 months ago (Sept. 1, 2004)
Published	20 years, 11 months ago (Sept. 1, 2004)
Published Online	20 years, 9 months ago (Nov. 9, 2004)
Published Print	20 years, 11 months ago (Sept. 1, 2004)

Funders 0

None

BibTeX

@article{Qiu_2004, title={Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading}, volume={71}, ISSN={1528-9036}, url={http://dx.doi.org/10.1115/1.1778416}, DOI={10.1115/1.1778416}, number={5}, journal={Journal of Applied Mechanics}, publisher={ASME International}, author={Qiu, X. and Deshpande, V. S. and Fleck, N. A.}, year={2004}, month=sep, pages={637–645} }

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