Time-Harmonic Analysis of Wave Propagation in Unbounded Layered Strata with Zigzag Boundaries
Publication: Journal of Engineering Mechanics
Volume 128, Issue 3
Abstract
A frequency-domain consistent absorbing boundary for horizontally layered strata is derived for the cases of antiplane shear and plane strain. The boundary can be composed of nonvertical as well as vertical segments, thus enabling efficient modeling of unbounded media. While the nonvertical boundary, as long as not horizontal, can be inclined at an arbitrary angle, numerical instability is encountered as the boundary becomes nearly horizontal, leading to erroneous results. A modification of the formulation based on selective reduced integration is proposed to make the new boundary condition more robust. Application problems in foundation dynamics and dam–foundation–reservoir interaction are considered to demonstrate the computational efficiency provided by the new boundary.
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References
Andrade, P. W. (1999). “Implementation of second-order absorbing boundary conditions in frequency-domain computations.” PhD dissertation, Univ. of Texas at Austin, Tex.
Hughes, T. J. R. (1987). The finite element method, Prentice–Hall, Englewood Cliffs, N. J.
Kausel, E., Roesset, J. M., and Waas, G.(1975). “Dynamic analysis of footings on layered media.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 101(5), 679–693.
Lotfi, V., Roesset, J. M., and Tassoulas, J. L.(1987). “A technique for the analysis of the response of dams to earthquakes.” Earthquake Eng. Struct. Dyn., 15(4), 463–490.
Malkus, D. S., and Hughes, T. J. R.(1978). “Mixed finite element methods-reduced and selective integration techniques: a unification of concepts.” Comput. Methods Appl. Mech. Eng., 15, 63–81.
Oden, J. T., and Carey, G. F. (1984). Finite elements: mathematical aspects, Vol. IV, Prentice–Hall, Englewood Cliffs, NJ.
Park, S.-H. (2000). “Methods for the numerical analysis of wave motion in unbounded media.” PhD dissertation, Univ. of Texas at Austin, Tex.
Seale, S. H., and Kausel, E. (1984). “Dynamic loads in layered halfspaces.” Proc., 5th Engineering Mechanics Conf., ASCE, 201–204.
Tassoulas, J. L. (1981). “Elements for the numerical analysis of wave motion in layered media.” Res. Rep. R81-2, Depart. of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Waas, G. (1972). “Linear two-dimensional analysis of soil dynamics problems in semi-infinite layered media.” PhD thesis, Univ. of California at Berkeley, Calif.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 3 • March 2002
Pages: 359 - 368
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Dec 6, 2000
Accepted: Jul 20, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002
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