Earthquake‐Induced Shear Stresses in Soils
Publication: Journal of Geotechnical Engineering
Volume 114, Issue 12
Abstract
Closed-form expressions for the earthquake-induced shear stress magnitude in soils and its phase shift with respect to the ground acceleration are presented. They are expressed as functions of the depth, the damping ratio of the soil, and the thickness of the resonant layer. In the development of these expressions the soil was treated as a viscoelastic material with a horizontal surface and harmonic surface displacement. The natural frequency is determined by assuming that a known depth of soil is in resonance. The shear stress induced in the soil by the earthquake is then evaluated from the governing equation of motion and expressed in complex form. As in the simplified method of evaluating soil liquefaction potential, the magnitude of the shear stress is presented as the product of the rigid-body shear stress and a stress-reduction coefficient. By doing this an analytic expression for the stress-reduction coefficient is derived.
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References
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Das B. M. (1983). Fundamentals of soil dynamics. Elsevier Publishing Co., New York, N.Y., 77/377.
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Hildebrand, F. B. (1962). Advanced calculus for applications. Prentice‐Hall, Englewood Cliffs, N.J., 455.
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Seed, H. B., and Idriss, I. M. (1971). “A simplified procedure for evaluating soil liquefaction potential.” J. Soil Mech. and Found. Div., ASCE, 97(9), 1249–1273.
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Copyright © 1988 ASCE.
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Published online: Dec 1, 1988
Published in print: Dec 1988
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