메뉴 건너뛰기




Volumn 44, Issue 10, 1996, Pages 1587-1620

The effective mechanical properties of random porous media

Author keywords

B. Constitutive behaviour; B. Granular material; B. Porous material; C. Finite differences; C. Numerical algorithms

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; ELASTICITY; FINITE DIFFERENCE METHOD; FRACTALS; GRANULAR MATERIALS; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; NUMERICAL METHODS;

EID: 0030269587     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(96)00051-8     Document Type: Article
Times cited : (57)

References (47)
  • 3
    • 3743148207 scopus 로고
    • Critical properties of an elastic fractal
    • Bergman, D. J. and Kantor, Y. (1984) Critical properties of an elastic fractal. Phys. Rev. Lett. 53, 511-514.
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 511-514
    • Bergman, D.J.1    Kantor, Y.2
  • 4
    • 0027098553 scopus 로고
    • Elements of poroelasticity for reservoir engineering
    • Boutéca, M. J. (1992) Elements of poroelasticity for reservoir engineering. Rev. Inst. Fran. Pétrole 47, 479-490.
    • (1992) Rev. Inst. Fran. Pétrole , vol.47 , pp. 479-490
    • Boutéca, M.J.1
  • 6
    • 38149146727 scopus 로고
    • Effective elastic properties for a periodic bicontinuous porous medium
    • Chapman, A. M. and Higdon, J. J. L. (1994) Effective elastic properties for a periodic bicontinuous porous medium. J. Mech. Phys. Solids 42, 283-305.
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 283-305
    • Chapman, A.M.1    Higdon, J.J.L.2
  • 7
    • 0001440520 scopus 로고
    • Self-consistent techniques for heterogeneous media
    • Cleary, M. P., Chen, I.-W. and Lee, S.-M. (1980) Self-consistent techniques for heterogeneous media. J. Engng Mech., ASCE 106, 861-887.
    • (1980) J. Engng Mech., ASCE , vol.106 , pp. 861-887
    • Cleary, M.P.1    Chen, I.-W.2    Lee, S.-M.3
  • 8
    • 0000285027 scopus 로고
    • The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models
    • Clerc, J. P., Giraud, G., Laugier, J. M. and Luck, J. M. (1990) The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models. Adv. Phys 39, 191-309.
    • (1990) Adv. Phys , vol.39 , pp. 191-309
    • Clerc, J.P.1    Giraud, G.2    Laugier, J.M.3    Luck, J.M.4
  • 12
    • 36849128573 scopus 로고
    • The elastic constants of materials loaded with non-rigid filler
    • Dewey, J. M. (1947) The elastic constants of materials loaded with non-rigid filler. J. Appl. Phys. 18, 578.
    • (1947) J. Appl. Phys. , vol.18 , pp. 578
    • Dewey, J.M.1
  • 13
    • 0348131933 scopus 로고
    • The theory of critical singularities
    • Varenna, Italy (ed. M. S. Green) Academic Press, New York
    • Fisher, M. E. (1971) The theory of critical singularities. Critical Phenomena, Proc. 51st Fermi School, Varenna, Italy (ed. M. S. Green) Academic Press, New York.
    • (1971) Critical Phenomena, Proc. 51st Fermi School
    • Fisher, M.E.1
  • 14
    • 58149367440 scopus 로고
    • An algorithm for computing the effective linear elastic properties of heterogeneous materials: 3-D results for composites with equal phase poisson ratios
    • Garboczi, E. J. and Day, A. R. (1995) An algorithm for computing the effective linear elastic properties of heterogeneous materials: 3-D results for composites with equal phase Poisson ratios. J. Mech. Phys. Solids 43, 1349-1362.
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 1349-1362
    • Garboczi, E.J.1    Day, A.R.2
  • 15
    • 27744489677 scopus 로고
    • On some variational principles in anisotropic and non homogeneous elasticity
    • Hashin, Z. and Shtrikman, S. (1962a) On some variational principles in anisotropic and non homogeneous elasticity. J. Mech. Phys. Solids 10, 335-342.
    • (1962) J. Mech. Phys. Solids , vol.10 , pp. 335-342
    • Hashin, Z.1    Shtrikman, S.2
  • 16
    • 11644258018 scopus 로고
    • A variational approach to the theory of the elastic behaviour of polycrystals
    • Hashin, Z. and Shtrikman, S. (1962b) A variational approach to the theory of the elastic behaviour of polycrystals. J. Mech. Phys. Solids 10, 343-352.
    • (1962) J. Mech. Phys. Solids , vol.10 , pp. 343-352
    • Hashin, Z.1    Shtrikman, S.2
  • 17
    • 0007544668 scopus 로고
    • A variational approach to the elastic behavior of multiphase materials
    • Hashin, Z. and Shtrikman, S. (1963) A variational approach to the elastic behavior of multiphase materials. J. Mech. Phys. Solids 11, 127-140.
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 18
    • 0020272260 scopus 로고
    • Composites with periodic microstructure
    • Iwakuma, T. and Nemat-Nasser, S. (1983) Composites with periodic microstructure. Computers Struct. 16, 13-20.
    • (1983) Computers Struct. , vol.16 , pp. 13-20
    • Iwakuma, T.1    Nemat-Nasser, S.2
  • 19
    • 30244539492 scopus 로고
    • Ph.D. Thesis, University of Kansas
    • Joshi, M. (1974) Ph.D. Thesis, University of Kansas.
    • (1974)
    • Joshi, M.1
  • 20
    • 0000676769 scopus 로고
    • Elastic properties of random percolating systems
    • Kantor, Y. and Webman, I. (1984) Elastic properties of random percolating systems. Phys. Rev. Lett. 52, 1891-4.
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1891-1894
    • Kantor, Y.1    Webman, I.2
  • 21
    • 0027334849 scopus 로고
    • Pore-pressure influence in the poroelastic behavior of rocks: Experimental studies and results
    • Laurent, J., Boutéca, M. HJ., Sarda, J.-P. and Bary, D. (1993) Pore-pressure influence in the poroelastic behavior of rocks: experimental studies and results. SPE Formation Evaluation 117-122.
    • (1993) SPE Formation Evaluation , pp. 117-122
    • Laurent, J.1    Boutéca, M.H.J.2    Sarda, J.-P.3    Bary, D.4
  • 22
    • 0025466043 scopus 로고
    • Fractal porous media. IV - Three-dimensional stokes flow through random media and regular fractals
    • Lemaître, R. and Adler, P. M. (1990) Fractal porous media. IV - Three-dimensional Stokes flow through random media and regular fractals. Transp. Porous Media 5, 325-340.
    • (1990) Transp. Porous Media , vol.5 , pp. 325-340
    • Lemaître, R.1    Adler, P.M.2
  • 23
    • 0010305009 scopus 로고
    • Rotationally invariant elasticity in a planar network
    • Limat, L. (1988) Rotationally invariant elasticity in a planar network. Phys. Rev. B. 38, 512-519.
    • (1988) Phys. Rev. B. , vol.38 , pp. 512-519
    • Limat, L.1
  • 25
    • 0000619717 scopus 로고
    • Bounds for effective bulk modulus of heterogeneous materials
    • Miller, M. N. (1969) Bounds for effective bulk modulus of heterogeneous materials. J. Math. Phys. 10, 2005-2013.
    • (1969) J. Math. Phys. , vol.10 , pp. 2005-2013
    • Miller, M.N.1
  • 26
    • 0019551676 scopus 로고
    • Body containing periodically distributed voids
    • Nemat-Nasser, S. and Taya M. (1981) Body containing periodically distributed voids. Q. Appl. Math. 39, 43-59.
    • (1981) Q. Appl. Math. , vol.39 , pp. 43-59
    • Nemat-Nasser, S.1    Taya, M.2
  • 27
    • 0011856749 scopus 로고
    • On effective elastic moduli of an elastic body containing periodically distributed voids, comments and corrections
    • Nemat-Nasser, S. and Taya, M. (1985) On effective elastic moduli of an elastic body containing periodically distributed voids, comments and corrections. Q. Appl. Math. 43, 187-188.
    • (1985) Q. Appl. Math. , vol.43 , pp. 187-188
    • Nemat-Nasser, S.1    Taya, M.2
  • 28
    • 0021300818 scopus 로고
    • Effective elasticity tensor of a periodic composite
    • Nunan, K. C. and Keller, J. B. (1984) Effective elasticity tensor of a periodic composite. J. Mech. Phys. Solids 32, 259-280.
    • (1984) J. Mech. Phys. Solids , vol.32 , pp. 259-280
    • Nunan, K.C.1    Keller, J.B.2
  • 29
    • 0348131901 scopus 로고    scopus 로고
    • Effective lamé's moduli of cubic arrays of elastic spheres embedded in an elastic matrix
    • Phan-Thien, N. Effective lamé's moduli of cubic arrays of elastic spheres embedded in an elastic matrix. J. Appl. Math. Phys. (ZAMP) 34, 387-397.
    • J. Appl. Math. Phys. (ZAMP) , vol.34 , pp. 387-397
    • Phan-Thien, N.1
  • 31
    • 0021388873 scopus 로고
    • A new three-dimensional modeling technique for studying porous media
    • Quiblier, J. A. (1984) A new three-dimensional modeling technique for studying porous media. J. Coll. Interf. Sci. 98, 84-102.
    • (1984) J. Coll. Interf. Sci. , vol.98 , pp. 84-102
    • Quiblier, J.A.1
  • 32
    • 0000961404 scopus 로고
    • Relation between elastic and scalar transport exponents in percolation
    • Roux, S. (1986) Relation between elastic and scalar transport exponents in percolation. J. Phys. A. 19, L351-L356.
    • (1986) J. Phys. A. , vol.19
    • Roux, S.1
  • 33
    • 0001052606 scopus 로고
    • On the effective moduli of composite materials: Slender rigid inclusions at dilute concentrations
    • Russel, W. B. and Acrivos A. (1972) On the effective moduli of composite materials: slender rigid inclusions at dilute concentrations. ZAMP 23, 434-464.
    • (1972) ZAMP , vol.23 , pp. 434-464
    • Russel, W.B.1    Acrivos, A.2
  • 34
    • 84870153060 scopus 로고
    • Relation between the critical exponent of elastic percolation networks and the conductivity and geometrical exponents
    • Sahimi, M. (1986) Relation between the critical exponent of elastic percolation networks and the conductivity and geometrical exponents. J. Phys. C. 19, L79-L83.
    • (1986) J. Phys. C. , vol.19
    • Sahimi, M.1
  • 37
    • 0023126140 scopus 로고
    • Elastic coefficients of composites containing spherical inclusions in a periodic array
    • Sangani, A. S. and Lu, W. (1987) Elastic coefficients of composites containing spherical inclusions in a periodic array. J. Mech. Phys. Solids 35, 1-21.
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 1-21
    • Sangani, A.S.1    Lu, W.2
  • 38
    • 0001517166 scopus 로고
    • The elastic moduli of random two-dimensional composites: Computer simulation and effective medium theory
    • Snyder, K. A., Garboczi, E. J. and Day, A. R. (1992) The elastic moduli of random two-dimensional composites: computer simulation and effective medium theory. J. Appl. Phys. 72, 5948-5955.
    • (1992) J. Appl. Phys. , vol.72 , pp. 5948-5955
    • Snyder, K.A.1    Garboczi, E.J.2    Day, A.R.3
  • 41
    • 0001245949 scopus 로고
    • New results in the theory of elasticity for two-dimensional composites
    • Thorpe, M. F. and Jasiuk, I. (1992) New results in the theory of elasticity for two-dimensional composites. Proc. R. Soc. Lond. A438, 531-544.
    • (1992) Proc. R. Soc. Lond. A , vol.438 , pp. 531-544
    • Thorpe, M.F.1    Jasiuk, I.2
  • 42
    • 0000564513 scopus 로고
    • Thermal conductivity of random media and regular fractals
    • Thovert J.-F., Wary, F. and Adler, P. M. (1990) Thermal conductivity of random media and regular fractals. J. Appl. Phys. 68, 3872-3883.
    • (1990) J. Appl. Phys. , vol.68 , pp. 3872-3883
    • Thovert, J.-F.1    Wary, F.2    Adler, P.M.3
  • 44
    • 49949149864 scopus 로고
    • On bounds for the overall elastic modulus of inhomogeneous systems I
    • Walpole, L. J. (1966) On bounds for the overall elastic modulus of inhomogeneous systems I. J. Mech. Phys. Solids 14, 151-162.
    • (1966) J. Mech. Phys. Solids , vol.14 , pp. 151-162
    • Walpole, L.J.1
  • 46
    • 0000038435 scopus 로고
    • High-order moments of the phase function for real and reconstructed model porous media : A comparison
    • Yao, J., Frykman, P., Kalaydjian, F., Thovert, J.-F. and Adler, P. M. (1993) High-order moments of the phase function for real and reconstructed model porous media : a comparison. J. Colloid Interface Sci. 156, 478-490.
    • (1993) J. Colloid Interface Sci. , vol.156 , pp. 478-490
    • Yao, J.1    Frykman, P.2    Kalaydjian, F.3    Thovert, J.-F.4    Adler, P.M.5
  • 47
    • 34250124654 scopus 로고
    • Precision calculation of elasticity per percolation
    • Zabolitzky, J. G., Bergman, D. J. and Stauffer, D. (1986) Precision calculation of elasticity per percolation. J. Stat. Phys. 44, 211-223.
    • (1986) J. Stat. Phys. , vol.44 , pp. 211-223
    • Zabolitzky, J.G.1    Bergman, D.J.2    Stauffer, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.