 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| L.B. Maslov, "Dynamic Model of a Periodic Medium with Double Porosity," Mech. Solids. 53 (2), 184-194 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
2 |
Pages |
184-194 |
| DOI |
10.3103/S0025654418020097 |
| Title |
Dynamic Model of a Periodic Medium with Double Porosity |
| Author(s) |
L.B. Maslov (Ivanovo State Power Engineering University, Rabfakovskaya 34, Ivanovo, 153003 Russia; Peter the Great St. Petersburg Polytechnic University, ul. Polytechnicheskaya 29, St. Petersburg, 195251 Russia, maslov@tipm.ispu.ru) |
| Abstract |
The paper presents a unified mathematical approach for describing the dynamic stress-strain state of mechanical structures from heterogeneous materials possessing a double coupled system of pore channels filled with fluid. New dynamic equations describing the oscillations of poroelastic systems based on the developed model of a continuous medium with additional degrees of freedom in the form of various pressures of the components constituting the liquid phase of the material are obtained. The equations and the method of obtaining them have a greater degree of generalization than those encountered in the literature. Theoretical results can be used to study the propagation of vibrations in fractured geological rocks saturated with liquid, to develop technical systems of new structural materials with a porous structure, for the analysis of micro streams of fluid in the hierarchical system of microporous bone tissue. |
| Keywords |
poroelasticity, double porosity, dynamics, harmonic oscillations, mathematical model, mixed formulation |
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|
| Received |
18 December 2012 |
| Link to Fulltext |
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