Eigenvalue Estimation for Dynamic Contact Problems
Publication: Journal of Engineering Mechanics
Volume 113, Issue 3
Abstract
Dynamic contact problems are frequently analyzed by using interface finite elements (penalty elements) and explicit time integration. A major difficulty with such procedures is the selection of a time increment that provides stable computation and is no more conservative than is necessary. This paper demonstrates a simple procedure for obtaining such a time step and proves its conservativeness for small displacement nonlinear response.
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References
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Belytschko, T., Plesha, M. E., and Dowding, C. H. (1984). “A computer method for the stability analysis of caverns in jointed rock.” Int'l. J. Numerical and Analytical Methods in Geomechanics, 8(5), 473–492.
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Ghaboussi, J., Wilson, E. L., and Isenberg, J. (1973). “Finite element for rock joints and interfaces,” J. Soil Mech. and Foundations Div., ASCE, 99(10), 833–848.
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Goodman, R. E. (1976). Methods of geological engineering in discontinuous rocks, West Publishing Co., St. Paul, Minn.
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Plesha, M. E. (1987). “Constitutive model for rock discontinuities with dilatancy and surface degradation.” Int'l. J. Numerical and Analytical Methods in Geomechanics, to appear.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 113 • Issue 3 • March 1987
Pages: 457 - 462
Copyright
Copyright © 1987 ASCE.
History
Published online: Mar 1, 1987
Published in print: Mar 1987
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