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TECHNICAL PAPERS

Moving Loads on an Elastic Half-Plane With Hysteretic Damping

[+] Author and Article Information
A. Verruijt, C. Cornejo Córdova

Department of Civil Engineering, Delft University of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands

J. Appl. Mech 68(6), 915-922 (Jun 12, 2001) (8 pages) doi:10.1115/1.1410097 History: Received July 26, 2000; Revised June 12, 2001
Copyright © 2001 by ASME
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References

Sneddon, I. N., 1951, Fourier Transforms, McGraw-Hill, New York.
Cole,  J., and Huth,  J., 1958, “Stresses Produced in a Half Plane by Moving Loads,” ASME J. Appl. Mech., 25, pp. 433–436.
Eringen, A. C., and Suhubi, E. S., 1975, Elastodynamics, Vol. 2, Academic Press, New York.
Frýba, L., 1999, Vibration of Solids and Structures Under Moving Loads, 3rd Ed., Thomas Telford, London.
Georgiadis,  H. G., and Barber,  J. R., 1993, “Steady-State Transonic Motion of a Line Load Over an Elastic Half-Space: The Corrected Cole/Huth Solution,” ASME J. Appl. Mech., 60, pp. 772–774.
Dieterman,  H. A., and Metrikine,  A., 1997, “Critical Velocities of a Harmonic Load Moving Uniformly Along an Elastic Layer,” ASME J. Appl. Mech., 64, pp. 596–600.
Verruijt, A., 1999, “Dynamics of Soils With Hysteretic Damping,” Proc. 12th Eur. Conf. Soil Mech. and Geotechnical Engineering, Vol. 1, F. B. J. Barends et al., eds., Balkema, Rotterdam, pp. 3–14.
Keverling Buisman, A. S., 1940, Grondmechanica, Waltman, Delft.
Terzaghi, K., 1943, Theoretical Soil Mechanics, John Wiley and Sons, New York.
Van Baars, S., 1996, “Discrete Elements for Granular Metrials,” Ph.D. thesis, Delft.
Das, B. M., 1983, Fundamentals of Soil Dynamics, Elsevier, New York.
Hardin,  B. O., 1965, “The Nature of Damping in Sands,” J. Soil Mech. Found. Div., Am. Soc. Civ. Eng. 91, pp. 63–97.
Hardin,  B. O., and Drnevich,  V. P., 1972, “Shear Modulus and Damping in Soils: Measurement and Parameter Effects,” J. Soil Mech. Found. Div., Am. Soc. Civ. Eng. 98, pp. 603–624.
De Barros,  F. C. P., and Luco,  J. E., 1994, “Response of a Layered Viscoelastic Half-Space to a Moving Point Load,” Wave Motion, 19, pp. 189–210.
Rayleigh, J. W. S., 1894, The Theory of Sound, Macmillan, London.
Wolf, J. P., 1988, Soil-Structure Interaction Analysis in Time Domain, Prentice-Hall, Englewood Cliffs, NJ.
Timoshenko, S. P., and Goodier, J. N., 1951, Theory of Elasticity, 2nd Ed., McGraw-Hill, New York.
Erdélyi, A., et al., 1954, Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York.

Figures

Grahic Jump Location
A full cycle of deformations of a soil element
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Cyclic triaxial test and its representation by a viscoelastic element
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First root a1 as a function of ξ and ζ
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Moving point load, Δw,ν=0.0,ζ=0.001,v/cs=2.0
Grahic Jump Location
Moving point load, Δw,ν=0.0,ζ=0.1,v/cs=2.0
Grahic Jump Location
Moving point load, Δw,ν=0.0,ζ=0.1,v/cs=0.874032
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Moving point load, Δw at Rayleigh wave velocity
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Moving point load, σzz,ν=0.0,ζ=0.001,v/cs=2.0
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Moving point load, σzz,ν=0.0,ζ=0.1,v/cs=2.0
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Moving point load, Maximum vertical stress, ν=0.3333

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