Zusammenfassung
In dieser Arbeit wird eine Übersicht gegeben von Lösungsmethoden für Probleme der Konsolidierung eines elastischen Bodens mittels Verschiebungspotentialen. Durch eine Verallgemeinerung der üblichen Funktionen sind jetzt auch Lösungen möglich für einige Klassen von Thermoelastizitätsproblemen oder Konsolidierungsproblemen bei zusammendrückbarem Porenwasser.
This is a preview of subscription content, log in via an institution to check access.
References
J. Geertsma,Problems of Rock Mechanics in Petroleum Production Engineering, Proc. 1st Int. Rock Mechanics Congr., Lisbon, 585–594 (1966).
J. McNamee andR. E. Gibson,Displacement Functions and Linear Transforms Applied to Diffusion through Porous Elastic Media, Q. Jl Mech. appl. Math.13, 98 (1960).
M. A. Biot,Thermoelasticity and Irreversible Thermodynamics, J. appl. Phys.27, 240 (1956).
M. A. Biot,General Theory of Three-Dimensional Consolidation, J. appl. Phys.12, 155 (1941).
A. Verruijt,Elastic Storage of Aquifers, in:Flow Through Porous Media (R. J. M. De Wiest, editor) (Academic Press, New York 1969), p. 331–376.
A. Verruijt,The Completeness of Biot's Solution of the Coupled Thermoelastic Problem, Q. appl. Math.26, 485 (1969).
M. A. Biot,General Solutions of the Equations of Elasticity and Consolidation for a Porous Material, J. appl. Mech.23, 91 (1956).
J. McNamee andR. E. Gibson,Plane Strain and Axially Symmetric Problems of the Consolidation of a Semi-Infinite Clay Stratum, Q. Jl Mech. appl. Math.13, 210 (1960).
R. E. Gibson, R. L. Schiffman andS. L. Pu,Plane Strain and Axially Symmetric Consolidation of a Clay Layer on a Smooth Impervious Base, Q. Jl Mech. appl. Math.23, 505 (1970).
G. de Josselin de Jong,Application of Stress Functions in Consolidation Problems, Proc. 4th Int. Conf. Soil Mech. and Found. Eng., London,1, 320–323 (1957).
R. E. Gibson andJ. McNamee,The Consolidation Settlement of a Load Uniformly Distributed over a Rectangular Area, Proc. 4th Int. Conf. Soil Mech. and Found. Eng., London,1, 297–299 (1957).
R. L. Schiffman andA. A. Fungaroli,Consolidation Due to Tangential Loads, Proc. 6th Int. Conf. Soil Mech. and Found. Eng., Montreal,1, 188–192 (1965).
J. Boussinesq,Equilibre d'élasticité etc., C. R. Acad. Sci. Paris106, 1043–1048, 1119–1123 (1888).
R. Muki,Asymmetric Problems of the Theory of Elasticity for a Semi-Infinite Solid and a Thick Plate, in:Progress in Solid Mechanics, vol.1 (I. N. Sneddon andR. Hill, itors) (North-Holland Amsterdam 1960), p. 399–439.
I. N. Sneddon andD. S. Berry,The Classical Theory of Elasticity, in:Handbuch der Physik, vol.6 (S. Flügge, editor) (Springer, Berlin 1958), p. 1–126.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Verruijt, A. Displacement functions in the theory of consolidation or in thermoelasticity. Journal of Applied Mathematics and Physics (ZAMP) 22, 891–898 (1971). https://doi.org/10.1007/BF01591816
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01591816