DISPLACEMENT FUNCTIONS AND LINEAR TRANSFORMS APPLIED TO DIFFUSION THROUGH POROUS ELASTIC MEDIA

1 January 1960

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 13 (1) , 98-111
https://doi.org/10.1093/qjmam/13.1.98

Abstract

It is sshown that the stresses and the pore pressure in porous elastic media through which a liquid is diffusing can be expressed in terms of two displacement functions. These functions are particularly useful in problems relating to a semi-infinite body or infinite layer when the stresses or displacements are prescribed on the surface. Problems of plane or axially symmetric strain are closely related when expressed in terms of these functions and the introduction of suitable repeated transforms (Fourier or Hankel followed by a Laplace transform) permits a parallel development of solutions for these two types of strain.

Keywords

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