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Dynamic finite element with diagonalized consistent mass matrix and elastic-plastic impact calculation. (English) Zbl 0507.73065


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74M20 Impact in solid mechanics
74S99 Numerical and other methods in solid mechanics

Software:

NONSAP
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Johnson, G,R., Analysis of elastic-plastic impact involving severe distorsions, Journal of Applied Mechanics, Vol. 43, No. 3, Trans. A.S.M.E., Vol. 98, Series E, Sept. 1976, pp. 439–444. · Zbl 0341.73041 · doi:10.1115/1.3423887
[2] Johnson, G. R., High velocity impact calculations in three dimensions, Journal of Applied Mechanics, Vol. 44, No 1, Trans. A.S.M.E., Vol. 99, Series E, March, (1977), pp. 95–100. · doi:10.1115/1.3424022
[3] Bathe, K. J. and Wilson, E. L., NONSAP – A general finite element program for nonlinear dynamic analysis of complex structure, Paper M3/1, Proc. Second Int. Conf. Struct. Mech. Reactor Technology, Berlin (1973).
[4] Zienkiewicz, O.C., The Finite Element Method (Third Edition, 1977), pp, 533–540, McGraw-Hill, London.
[5] Boresi, A. P., Elasticity in engineering mechanics, Prentice-Hall Inc., Englewood Cliffs, N. J. (1965). · Zbl 0875.73007
[6] Von Neumann, J. and Richtmyer, R. D., A method for the numerical calculation of hydrodynamic shocks, Journal of Applied Physics, Vol. 21, 1950, pp. 232–237. · Zbl 0037.12002 · doi:10.1063/1.1699639
[7] Walsh, J. M., et al., Shock wave compressions of twenty seven metals, Equations of state of metals, Physical Review, Vol. 108, No. 2, Oct. 1957, pp. 196–216. · doi:10.1103/PhysRev.108.196
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