Engineering Transactions, 29, 1, pp. 131-142, 1981

Transient Nonlinear Response of Impulsively-Loaded Circular Plates

M.T.E. Tuomala
Department of Civil Engineering, Helsinki University of Technology, Espoo
Finland

M.J. Mikkola
Department of Civil Engineering, Helsinki University of Technology, Espoo
Finland

The finite element procedure used in this study is based on the incremental Lagrangian approach. Geometrical nonlinearity is included. The elastic viscoplastic material model is adopted in a form suitable for large strains. Linear 2-noded and parabolic 3-noded isoparametric axisymmetric shell elements are employed. Numerical time integration is carried out by the central difference scheme. The agreement between computed and experimental results is at least satisfactory. The discrepancies can be explained by combined effects of smalt inaccuracies of loading geometry, constitutive parameters, boundary conditions, and numerical discretization and round-off errors.

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References

N. JONES, A literature review of the dynamic plastic response of structures, The Shock and Vibration Digest, 7, 89-105, 1975.

A. J. WANG, H. G. HOPKINS, On the plastic deformation of built-in circular plates under impulsive load, J. Mech. Phys, Solids, 3, 22-37, 1954.

A. J. WANG, The permanent deflection of a plastic plate under blast loading, J. Appl. Mech., 22, 375-376, 1955,

T. WIERZBICKI, Dynamics of rigid viscoplastic circular plates, Arch. Mech., 17, 6, 851-869, 1965.

T. WIERZBICKI, Impulsive loading of rigid viscoplastic plates, Int. J. Solids Struct., 3, 4, 635-647, 1967.

A. L. FLORENCE, Clamped circular rigid-plastic plates under blast loading, J. Appl. Mech., 33, 256-260, 1966.

A. L. FLORENCE, Circular plates under a uniformly distributed impulse, Int. J. Solids Struct., 2, 37-47, 1966.

N. JONES, Impulsive loading of a simply supported circular rigid plastic plate, J. Appl. Mech., 35, 59-65, 1968,

T. A. DUFFEY, S, W. KEY, Experimental-theoretical correlations of impulsively loaded clamped circular plates, Exp. Mech., 9, 241-249, 1969.

T. WIERZBICKI, A. L. FLORENCE, A theoretical and experimental investigation of impulsively loaded damped circular viscoplastic plates, Int. J, Solids Struct., 6, 553-568, 1970.

R. C. BATRA, R. N. DUBEY, Impulsively loaded circular plates, lnt. J. Solids Struct., 7, 965-978, 1971.

C. T. CHON, P. S. SYMONDS, Large dynamic deflection of plates by mode method, J. Eng. Mech. Div., Proc. ASCE 103, EMI, 3-14, 1977.

P. S. SYMONDS, C. T. CHON, On dynamic made-form solutions, J. Mech. Pys. Solids, 26, 21-35, 1978.

S. R. BONNER, P. S. SYMONDS, Experiments on viscoplastic response of circular plates to impulsive loading, Tech. Report NOOO14-0860/6, Brown Univ., Providence, R. I., July 1977.

P. S. SYMONDS, C. T. CHON, Finite viscoplastic deflections of an impulsively loaded plate by the mode approximation technique, Tech. Report NOOO14-0860/5, Brown Univ., Providence, R. I., September 1977.

P. S. SYMONDS, T. WIERZBICKI, Membrane made solutions for impulsively loaded circular plates, Tech. Report ENG77-11877/l, Brown Univ., Providence, R. I., July 1978.

T. BELYTSCHKO, B. J. HSIEH, Nonlinear transient analysis of shells and solids of revolution by convected elements, AIAA J., 12, 8, 1031-1035, 1974.

M. T. E. TUOMALA, M. J. MIKKOLA, Transient dynamic large deflection analysis of elastic viscoplastic plates by the finite element method, Int. J. Mech. Sci.,, 22, 3, 151-166, 1980,

K. WASHIZU, Variational methods in elasticity and plasticity, Pergamon Press, 2nd edition, Oxford 1975.

O. C. ZIENKIEWICZ, The finite element method, McGraw-Hil1, 3rd edition, London 1977.

P. PERZYNA, Fundamental problems in viscoplasticity, Advances in Applied Mechanics, 9, 243- 377, 1966.

R. M. McMEEKING, J. R. RICE, Finite-element formulations for problems of large elastic-plastic deformation, Int. J. Solids Struct., 11, 5, 601-616, 1975.




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