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The Quarterly Journal of Mechanics and Applied Mathematics 1975 28(3):317-328; doi:10.1093/qjmam/28.3.317
© 1975 by Oxford University Press
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THE TIME-SETTLEMENT BEHAVIOUR OF A RIGID DIE RESTING ON A DEEP CLAY LAYER

C. CHIARELLA and J. R. BOOKER

( School of Mathematical and Computing Sciences, N.S.W. Institute of Technology N.S.W., Australia
Department of Civil Engineering, University of Sydney N.S.W., Australia )

In this paper, the time-settlement behaviour of a smooth rigid circular die resting on a deep layer of homogeneous clay is investigated. The problem is of the mixed boundary-value type and leads to the consideration of a pair of dual integral equations. These equations are then reduced to a double Fredholm–Volterra integral equation, which is solved by an application of Galerkin's technique. Numerical results are presented for a range of Poisson's ratios and compared with previous approximate solutions.


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