Effective properties of viscoelastic media with crack-like inclusions

被引：7

作者：

Levin, V. ^{[1
]}

Kanaun, S. ^{[2
]}

Ronquillo Jarillo, G. ^{[1
]}

机构：

[1] Inst Mexicano Petr, Eje Cent, Mexico City 07730, DF, Mexico

[2] CEM, Inst Tecnol & Estudios Super Monterre, Atizapan 52926, Mexico

来源：

INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES | 2012年 / 53卷

关键词：

Viscoelasticity; Cracked material; Effective properties; Wave propagation; FRACTIONAL CALCULUS;

D O I：

10.1016/j.ijrmms.2012.03.007

中图分类号：

P5 [地质学];

学科分类号：

0709 ; 081803 ;

摘要：

Self-consistent effective field method is applied to the calculation of effective properties of a medium that consists of a viscoelastic host material (matrix) and a random set of elliptical fluid-filled cracks. Viscoelastic behavior of the matrix phase is described by a linear Boltzman model with a weak singular kernel. The conventional principle of correspondence between elastic and viscoelastic problems allows deriving explicit expressions for the effective viscoelastic parameters of an isotropic medium containing a set of parallel cracks or cracks with homogeneous distribution over the orientations. For long elastic waves, the complex wave numbers of propagating waves in the medium with cracks are obtained. The wave velocities and quality factors of some real cracked rock materials are calculated. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1 / 9

页数：9

共 50 条

[1] Effective conductivity of anisotropic media with crack-like inclusions and cracks of arbitrary shapes
Kanaun, S.
International Journal of Engineering Science, 2021, 168
[2] Effective conductivity of anisotropic media with crack-like inclusions and cracks of arbitrary shapes
Kanaun, S.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2021, 168
[3] Fluid filtration through the media with random sets of crack-like inclusions
Kanaun, S.
Levin, V
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2020, 156
[4] PROPAGATION OF ELASTIC WAVES THROUGH MEDIA WITH THIN CRACK-LIKE INCLUSIONS.
Kanaun, S.K.
Levin, V.M.
Journal of Applied Mathematics and Mechanics, 1986, 50 (02): : 231 - 239
[5] PROPAGATION OF ELASTIC-WAVES THROUGH MEDIA WITH THIN CRACK-LIKE INCLUSIONS
KANAUN, SK
LEVIN, VM
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1986, 50 (02): : 231 - 239
[6] Acoustic Filtering Properties of 3D Elastic Metamaterials Structured by Crack-Like Inclusions
Zhbadynskyi, I. Ya
Mykhas'kiv, V. V.
2018 XXIIIRD INTERNATIONAL SEMINAR/WORKSHOP ON DIRECT AND INVERSE PROBLEMS OF ELECTROMAGNETIC AND ACOUSTIC WAVE THEORY (DIPED), 2018, : 145 - 148
[7] Propagation of long elastic waves in porous rocks with crack-like inclusions
Levin, V.
Markov, M.
Kanaun, S.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2008, 46 (06) : 620 - 638
[8] DETERMINATION OF THE ENDURANCE OF PIPES WITH CRACK-LIKE DEFECTS IN MEDIA CAUSING GENERAL CORROSION
ZAINULLIN, RS
WELDING PRODUCTION, 1986, 33 (03): : 25 - 26
[9] CRACK-LIKE IMPERFECTIONS IN A SPHERICAL SHELL
SIH, GC
DOBREFF, PS
GLASGOW MATHEMATICAL JOURNAL, 1971, 12 (APR) : 65 - &
[10] INVESTIGATIONS ON CRACK-LIKE LEAKS IN PIPING
Blaesius, Christoph
Heckmann, Klaus
Sievers, Juergen
PROCEEDINGS OF THE ASME PRESSURE VESSELS AND PIPING CONFERENCE - 2015, VOL 5, 2015,

← 1 2 3 4 5 →