Chien, Wei-zang Dynamic finite element with diagonalized consistent mass matrix and elastic-plastic impact calculation. (English) Zbl 0507.73065 Appl. Math. Mech., Engl. Ed. 3, 319-334 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 2 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74M20 Impact in solid mechanics 74S99 Numerical and other methods in solid mechanics Keywords:dynamic finite element; diagonalized consistent mass matrix; quadratic form function; elastic-plastic impact; internal stress; equations of motion Software:NONSAP PDFBibTeX XMLCite \textit{W.-z. Chien}, Appl. Math. Mech., Engl. Ed. 3, 319--334 (1982; Zbl 0507.73065) 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.