Engineering Transactions, 43, 3, pp. 427-441, 1995

Elastic-Plastic Plates Sealing a Liquid; Tests and Analysis

J. Sokół-Supel
Institute of Fundamental Technological Research, Warszawa

J.A. Supel
Institute of Fundamental Technological Research, Warszawa

G. Guerlement
Faculté Polytechnique de Mons, Mons

Circular steel plates sealing the vessels containing compressible liquid are considered. The edge of the plate is built into the vessel wall. The plate is loaded at its central part and supported by the liquid pressure. The material is assumed to be elastic-perfectly plastic, obeying the Tresca yield criterion and the associated flow rule. A closed-form analytical solution is obtained in the case of monotonically increasing load. The corresponding experimental study is aimed at verification of the analytical approach. Special attention is given to the evolution of the apparent compressibility of the liquid due to air residuals and to the deformations of the lateral walls of the vessel.

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P.G. HODGE, Jr. and CHANG-KUEI SUN, Yield-point load of a circular plate sealing an incompressible fluid, Int. J. Mech. Sci., 9, 405-414, 1967.

A.D. KERR, Bending of circular plates sealing an incompressible liquid, J. Appl. Mech., Trans. ASME, 32, Série E, 3, 704-706, 1965.

A.D. KERR, On plates sealing an incompressible liquid, Int. J. Mech. Sci., 8, 295-304, 1966.

A.D. KERR and R.S. BECKER, The stress analysis of circular plates sealing a compressible liquid, Int. J. Mech. Sci., O, 719-726, 1967.

M. KLEIBER, Incremental finite element modelling in nonlinear solid mechanics, PWN - Ellis Harwood, 1989.

R.H. LANCE and D.N. ROBINSON, Plastic analysis of a plate scaling a fluid, J. Engng. Mech. Div., Proc. ASCE, OG (EM 6), 1183-1194, 1970.

M. SAVE and M. JANAS, Collapse and bursling pressures of mild-steel vessels, Arch. Bud. Masz., 28, 1, 77-106, 1971.

J. SOKÓŁ-SUPEL, Elastoplastic bending of plates resting on elastic subgrade under rotational symmetry conditions, J. Struct. Mech., 13, 3-4, 323-341, 1985.

J. SOKÓŁ-SUPEL, Bending of metallic circular plates resting on an elastic subgrade, Ingenieur-Archiv, 58, 185-192, 1988.

J. SOKÓŁ-SUPEL, Elastoplastic plates resting unilaterally on elastic subgrade, Mech. Struct. and Mach., 16, 3, 335-357, 1988-1989.

J. SOKÓŁ-SUPEL, Analytical study of the fiat head of a closed, circular vessel containing liquid [in Polish], IFTR Reports, 1, 1995.

S. TIMOSHENKO and S. WOINOWSKY-KRIEGER, Theory of plates and shells, McGraw-Hill, New York 1959.

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