Nonstationary Problem Moisture Elasticity for Nonhomogeneous Hollow Thick-Walled Sphere

Abstract:

There is presented a solution of the problem of centrally symmetric unsteady moisture transfer in a hollow spherical array, modeling part of ground mass, with the propagation of the moisture from the inner surface to periphery. At the second stage in mined the slow moisture transfer is solved quasi-stationary problem of moisture elasticity for inhomogeneous body because of uneven changing the deformation characteristics of the soil by saturated it with moisture. The term moisture elasticity is used by analogy with the term thermoelasticity since the presence of moisture in the material induce forced deformations which is similar to the temperature deformations and problems of heat and mass transfer use the same mathematics [.

• Periodical: Advanced Materials Research (Volumes 838-841)
• Pages: 254-258
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.838-841.254
• Online since: November 2013
• Authors: Vladimir I. Andreev, Anatoliy S. Avershyev
• Keywords: Clay, Forced Deformation, Ground, Inhomogeneity, Moisture Elasticity, Nonstationary Problem, Thick-Walled Hollow Sphere

References

[1] Lykov A.V. Teoriya teploprovodnosti (Theory of heat conductivity). Moscow, Vyshaya shkola, (1967).

[2] Andreev V.I., Avershyev A.S. Nonstationary problem moisture elasticity for nonhomogeneous hollow thick-walled cylinder. Transactions of International Conference on Fluid Structure Interaction, 10 - 12 April, 2013, WITpress, p. pp.123-132.

DOI: 10.2495/fsi130111

[3] Ter-Martirosyan Z.G. Mehanika gruntov (Soil mechanics). Moscow, ASV (2005), p.55.

[4] Davydov V.A. Osobennosti izyskanij i proektirovaniya avtodorog v rajonah vechnoj merzloty (Features of survey and design of highways in permafrost regions). Omsk, PI (1979), p. pp.44-56.

[5] ODN 218. 046-01. Proektirovanije nezhestkih dorozhnyh odezhd (Design of non-rigid road clothes) (2000), p.93.

[6] Andreev V.I., Avershyev A.S. Stationary Problem of Moisture-elasticity for Inhomogeneous thick-walled Shells. Advanced Materials Research Vols. 671-674, 2013, р. р. 571-575.

DOI: 10.4028/www.scientific.net/amr.671-674.571

[7] Andreev V.I. Nekotoryje zadachi i metody mehaniki neodnorodnyh tel (Some problems and methods of mechanics of nonhomogeneous bodies). Moscow, ASV (2002).

[8] Akimov P.A., Sidorov V.N. Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients. / Advanced Materials Research Vols. 250-253, 2011, pp.3652-3655.

DOI: 10.4028/www.scientific.net/amr.250-253.3652

[9] Leont'yev N.E. Osnovy teorii filtracii (Basics of filtration theory). Moscow, MGU (2009).