 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 45, Issue 3 / 2010 | Next article >> |
| O.Ya. Izvekov and V.I. Kondaurov, "Scattered Fracture of Porous Materials with Brittle Skeleton," Mech. Solids. 45 (3), 445-464 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
3 |
Pages |
445-464 |
| DOI |
10.3103/S0025654410030155 |
| Title |
Scattered Fracture of Porous Materials with Brittle Skeleton |
| Author(s) |
O.Ya. Izvekov (Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700 Russia)
V.I. Kondaurov (Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700 Russia, vk@mipt.ru, v_kondaurov47@mail.ru) |
| Abstract |
A model of damage accumulation in a porous medium with a brittle skeleton saturated with a compressible fluid is formulated in the isothermal approximation. The model takes account of the skeleton elastic energy transformation into the surface energy of microcracks. In the case of arbitrary deformations of an anisotropic material, constitutive equations are obtained in a general form that is necessary and sufficient for the objectivity and thermodynamic consistency principles to be satisfied. We also formulate the kinetics equation ensuring that the scattered fracture dissipation is nonnegative for any loading history. For small deviations from the initial state, we propose an elastic potential which permits describing the principal characteristics of the behavior of a saturated porous medium with a brittle skeleton. We study the acoustic properties of the material under study and find their relationship with the strength criterion depending on the accumulated damage and the material current deformation. We consider the problem of scattered fracture of a saturated porous material in a neighborhood of a spherical cavity. We show that the cavity failure occurs if the Hadamard condition is violated. |
| Keywords |
porous medium, damage, surface energy, kinetics, constitutive relations |
| References |
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|
| Received |
25 January 2010 |
| Link to Fulltext |
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