Summary
Biot's theory of dynamical poroelasticity is used to solve the axisymmetric problem of deformation of a semi-infinite proelastic medium which is subjected to a uniform load within a circular area of its boundary. The solutions valid for large time have been derived. In some limiting cases, the solutions are shown to reduce to those of classical elasticity. The solutions for the point load case have also been deduced. Lastly, the variations with time of the solid displacements, the normal stress and the fluid pressure for the point load case after the arrival of the shear wave are exhibited graphically and the results for the classical case are included for the sake of comparison.
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References
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Paul, S. On the disturbance produced in a semi-infinite poroelastic medium by a surface load. PAGEOPH 114, 615–627 (1976). https://doi.org/10.1007/BF00875655
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DOI: https://doi.org/10.1007/BF00875655