Consolidation of the Visco-Elastic Half-Space at Mixed Conditions of Permeability of the Boundary
The exact form solution of axi-symmetric consolidation problem for a visco-elastic half-space at mixed conditions of the permeability of the boundary is presented. The process of consolidation is due to time-variable normal load acting on the boundary of the half-space. The load free boundary of the half-space is permeabile while its loaded part is not permeabile. On the basis of a coupled three-dimensional Biot's consolidation theory with taking into account the rheological properties of the skeleton the state of stress and deformation is evaluated and the elastic skeleton the diagrams for pressure in pores under loading for different moments of time and different rates of the load increments are given.
M. A. BIOT, General theory of three dimensional consolidation, J. Appl. Phys., 12, 1941.
J. B. BOOKER, A numerical method for the solution of Biot's consolidation theory, The Quot. J. Mech. and Applied Math., 26, 4, 1973,
W. DERSKI, On application of dual integral equations in theory of consolidation [in Polish], III Sympozjum Reologii, Wrockaw 1966.
J. DOMSKI, G. SZEFER, Consolidation of elastic half-plane loaded by punch [in Polish], Arch. Hydrotech., 2, 1974.
A. M. FREUDENTHAL, W. R. SPILLERS, Solution for the infinite layer and the half space for quasi elastic consolidating elastic and visco-elastic media, J. Appl. Phys., 33, 9, 1962.
J. GASZYŃSKI, G. SZEFER, Consolidation of a visco-elastic half-space under axial-symmetrical load, Studia Geotech., 1974.
J. GASZYŃSKI, G. SZEFER, Konsolidacja półprzestrzeni lepko-sprężystej obciążonej siłą skupioną, Rozpr. Inżyn., 23, 3, 1975.
J. GASZYŃSKI, G. SZEFER, Axisymmetric punch problem under condition of consolidation, Arch. Mech., 27, 3, 1975.
J. GASZYŃSKI, On a certain solution of dual integral equations and its application to contact problems of consolidation, Arch. Mech., 28, 1, 1976,
V. I. KRYLOV, L. G. KRUGLIKOVA, Handbook of numerical inversion of the Laplace'a transform [in Russian], Izd. Nauka and Technica, Miúsk 1968.
B. LECHOWICZ, G. SZEFER, Consolidation of a visco-elastic semi-space in the plane state of strain, Arch. Mech., 25, 5, 1973.
S. R. MESTCHIAN, Creeping of clay soils [in Russian], Izd. Akad. Nauk ASSR, Erevan 1967.
J. S. UFLAND, Integral transforms in problems of theory of elasticity [in Russian], Leningrad 1968.
J. K. ZARKTSKY, Theory of soil consolidation [in Russian] Moscow 1967.
Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland