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A finite element method for a class of contact-impact problems. (English) Zbl 0367.73075


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
Full Text: DOI

References:

[1] A. Francavilla and O.C. Zienkiewicz, A note on numerical computation of elastic contact problems. To be published.; A. Francavilla and O.C. Zienkiewicz, A note on numerical computation of elastic contact problems. To be published.
[2] Conry, T. F.; Seireg, A., A mathematical programming method for design of elastic bodies in contact, J. Appl. Mech., 38, 387-392 (1971)
[3] Chan, S. H.; Tuba, I. S., A finite element method for contact problems of solid bodies, Int. J. Mech. Sci., 13, 615-639 (1971) · Zbl 0226.73052
[4] Zienkiewicz, O. C., The finite element method in engineering science (1971), McGraw-Hill: McGraw-Hill New York · Zbl 0237.73071
[5] Hughes, T. J.R.; Taylor, R. L.; Sackman, J. L., Finite element formulation and solution of contact-impact problems in continuum mechanics, (SESM Report No. 74-8 (May 1974), Univ. California: Univ. California Berkeley)
[6] Goudreau, G. L.; Taylor, R. L., Evaluation of numerical integration methods in elastodynamics, Comp. Meths. Appl. Mech. Eng., 2, 67-97 (1972) · Zbl 0255.73085
[7] Goldsmith, W., Impact (1960), Edward Arnold: Edward Arnold London · Zbl 0122.42501
[8] Shugar, T. A.; Katona, M. G., Development of Finite Element Head Injury Model, J. Eng. Mechs. Div. ASCE, 101, 223-239 (1975)
[9] Cheupanov, G. P.; Afanas’ev, E. F., Some dynamic problems of the theory of elasticity — a review, Int. J. Eng. Sci., 12, 665-690 (1974) · Zbl 0296.73012
[10] Wolfe, J. P.; Hansen, W. L.; Haller, E. E.; Markiewicz, R. S.; Kittel, C.; Jeffries, C. D., Photograph of an electron-hole drop in germanium, Phys. Rev. Letters, 34, 1292-1293 (1974)
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