On the Theory of Consolidation with Double Porosity-II

Authors

Dimitri E. Beskos, Panepistimion Patron
Elias C. Aifantis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1986

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

The theory of consolidation with double porosity is further substantiated by establishing certain general results concerning the mathematical behavior of the relevant partial differential equations. Specifically, by following standard procedures in mechanics, uniqueness and a variational principle are established. Moreover, an indirect method of solution which allows boundary value problems of the theory of consolidation with double porosity to be reduced to the study of elementary boundary value problems of the theory of heat conduction is proposed for a wide class of problems. Analytical solutions to two boundary value problems frequently encountered in practice are also obtained by the proposed method.

Publisher's Statement

© 1986

Publication Title

International Journal of Engineering Science

Recommended Citation

Beskos, D., & Aifantis, E. C. (1986). On the Theory of Consolidation with Double Porosity-II. International Journal of Engineering Science, 24(11), 1697-1716. http://doi.org/10.1016/0020-7225(86)90076-5
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5282