메뉴 건너뛰기




Volumn 75, Issue 6, 2008, Pages 0610011-06100110

Stochastic morphological modeling of random multiphase materials

Author keywords

[No Author keywords available]

Indexed keywords

BI PHASE; CORRELATION FUNCTIONS; HIGH FIDELITIES; MORPHOLOGICAL FEATURES; MULTIPHASE MATERIALS; NON-GAUSSIAN; NUMERICAL EXAMPLES; OCEAN WAVES; PHYSICAL BEHAVIORS; PHYSICAL PROCESSES; RANDOM FIELD THEORIES; RANDOM MATERIALS; RANDOM MEDIAS; RESEARCH DIRECTIONS; STATISTICAL SIMULATIONS; WIND PRESSURES;

EID: 55149103023     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2957598     Document Type: Article
Times cited : (31)

References (56)
  • 6
    • 0036040847 scopus 로고    scopus 로고
    • Statistical Description of Microstructures
    • Torquato, S., 2002, "Statistical Description of Microstructures, " Annu. Rev. Mater. Res., 32, pp. 77-111.
    • (2002) Annu. Rev. Mater. Res , vol.32 , pp. 77-111
    • Torquato, S.1
  • 9
    • 0001410042 scopus 로고    scopus 로고
    • Reconstruction Random Media
    • Yeong, C. L. Y., and Torquato, S., 1998, "Reconstruction Random Media," Phys. Rev. E, 57, pp. 495-506.
    • (1998) Phys. Rev. E , vol.57 , pp. 495-506
    • Yeong, C.L.Y.1    Torquato, S.2
  • 10
    • 0000458472 scopus 로고
    • Translation Family of Bivariate Distribution and Frechet's Bounds
    • Mardia, K. V., 1970, "Translation Family of Bivariate Distribution and Frechet's Bounds," Sankhya, Ser. A 32, pp. 119-122.
    • (1970) Sankhya, Ser. A , vol.32 , pp. 119-122
    • Mardia, K.V.1
  • 11
    • 0021407869 scopus 로고
    • Crossings of Non-Gaussian Translation Processes
    • Grigoriu, M., 1984, "Crossings of Non-Gaussian Translation Processes," J. Eng. Mech., 110(4), pp. 610-620.
    • (1984) J. Eng. Mech , vol.110 , Issue.4 , pp. 610-620
    • Grigoriu, M.1
  • 12
    • 0003600074 scopus 로고
    • A Class of Stochastic Models for Porous Media,
    • Ph.D. thesis, University of Kansas, Lawrence, KS
    • Joshi, M. Y., 1974, "A Class of Stochastic Models for Porous Media," Ph.D. thesis, University of Kansas, Lawrence, KS.
    • (1974)
    • Joshi, M.Y.1
  • 13
    • 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. Colloid Interface Sci., 98, pp. 84-102.
    • (1984) J. Colloid Interface Sci , vol.98 , pp. 84-102
    • Quiblier, J.A.1
  • 14
    • 0030131297 scopus 로고    scopus 로고
    • Closed-Form Solution for the Reconstruction Problem in Porous Media
    • Giona, M., and Adrover, A., 1996, "Closed-Form Solution for the Reconstruction Problem in Porous Media," AIChE J., 42, pp. 1407-1415.
    • (1996) AIChE J , vol.42 , pp. 1407-1415
    • Giona, M.1    Adrover, A.2
  • 15
    • 0343909968 scopus 로고
    • Phase Separation by Spinodal Decomposition in Isotropic Systems
    • Cahn, J. W., 1965, "Phase Separation by Spinodal Decomposition in Isotropic Systems," J. Chem. Phys., 42(1), pp. 93-99.
    • (1965) J. Chem. Phys , vol.42 , Issue.1 , pp. 93-99
    • Cahn, J.W.1
  • 16
    • 4243524123 scopus 로고
    • Scattering Properties of the Leveled-Wave Model of Random Morphologies
    • Berk, N. F., 1991, "Scattering Properties of the Leveled-Wave Model of Random Morphologies," Phys. Rev. A, 44(8), pp. 5069-5079.
    • (1991) Phys. Rev. A , vol.44 , Issue.8 , pp. 5069-5079
    • Berk, N.F.1
  • 17
    • 0001270471 scopus 로고    scopus 로고
    • Roberts, A. P., and Teubner, M., 1995, 'Transport Properties of Heterogeneous Materials Derived From Gaussian Random Fields: Bounds and Simulation, Phys. Rev. E, 51(5), pp. 4141-4154.
    • Roberts, A. P., and Teubner, M., 1995, 'Transport Properties of Heterogeneous Materials Derived From Gaussian Random Fields: Bounds and Simulation," Phys. Rev. E, 51(5), pp. 4141-4154.
  • 18
    • 0000386663 scopus 로고    scopus 로고
    • Structure-Property Correlations in Model Composite Materials
    • Roberts, A. P., and Knackstedt, M. A., 1996, "Structure-Property Correlations in Model Composite Materials," Phys. Rev. E, 54(3), pp. 2313-2328.
    • (1996) Phys. Rev. E , vol.54 , Issue.3 , pp. 2313-2328
    • Roberts, A.P.1    Knackstedt, M.A.2
  • 19
    • 0141886952 scopus 로고    scopus 로고
    • Random Field Models for Two-Phase Microstructures
    • Grigoriu, M., 2003, "Random Field Models for Two-Phase Microstructures," J. Appl. Phys., 94(6), pp. 3762-3770.
    • (2003) J. Appl. Phys , vol.94 , Issue.6 , pp. 3762-3770
    • Grigoriu, M.1
  • 20
    • 0032123737 scopus 로고    scopus 로고
    • Off-Lattice Reconstruction of Porous Media: Critical Evaluation, Geometrical Confinement and Molecular Transport
    • Levitz, P., 1998, "Off-Lattice Reconstruction of Porous Media: Critical Evaluation, Geometrical Confinement and Molecular Transport," Adv. Colloid Interface Sci., 76-77, pp. 71-106.
    • (1998) Adv. Colloid Interface Sci , vol.76-77 , pp. 71-106
    • Levitz, P.1
  • 22
    • 55149125283 scopus 로고    scopus 로고
    • Ph.D. thesis, The Johns Hopkins University, Baltimore, MD
    • Xu, X. F., 2005, Ph.D. thesis, The Johns Hopkins University, Baltimore, MD.
    • (2005)
    • Xu, X.F.1
  • 23
    • 84937653646 scopus 로고
    • Visual Pattern Discrimination
    • Julesz, B., 1962, "Visual Pattern Discrimination," IRE Trans. Inf. Theory, IT-8, pp. 84-92.
    • (1962) IRE Trans. Inf. Theory , vol.IT-8 , pp. 84-92
    • Julesz, B.1
  • 24
    • 0031429028 scopus 로고    scopus 로고
    • Statistical Characterization and Stochastic Modeling of Pore Networks in Relation to Fluid Flow
    • Hazlett, R. D., 1997, "Statistical Characterization and Stochastic Modeling of Pore Networks in Relation to Fluid Flow," Math. Geol., 29, pp. 801-822.
    • (1997) Math. Geol , vol.29 , pp. 801-822
    • Hazlett, R.D.1
  • 25
    • 0036351208 scopus 로고    scopus 로고
    • Stochastic Reconstruction of Paniculate Media From Two-Dimensional Images
    • Talukdar, M. S., Torsaeter, O., and loannidis, M. A., 2002, "Stochastic Reconstruction of Paniculate Media From Two-Dimensional Images," J. Colloid Interface Sci., 248, pp. 419-428.
    • (2002) J. Colloid Interface Sci , vol.248 , pp. 419-428
    • Talukdar, M.S.1    Torsaeter, O.2    loannidis, M.A.3
  • 26
    • 4344601963 scopus 로고    scopus 로고
    • Reconstruction of Random Microstructures - A Stochastic Optimization Problem
    • Bochenek, B., and Pyrz, R., 2004, "Reconstruction of Random Microstructures - A Stochastic Optimization Problem," Comput. Mater. Sci., 31, pp. 83-112.
    • (2004) Comput. Mater. Sci , vol.31 , pp. 83-112
    • Bochenek, B.1    Pyrz, R.2
  • 27
    • 0015711168 scopus 로고
    • Inability of Humans to Discriminate Between Visual Textures That Agree in Second-Order Statistics-Revisited
    • Julesz, B., Gilbert, E. N., Shepp, L. A., and Frisch, H. L., 1973, "Inability of Humans to Discriminate Between Visual Textures That Agree in Second-Order Statistics-Revisited," Perception, 2, pp. 391-405.
    • (1973) Perception , vol.2 , pp. 391-405
    • Julesz, B.1    Gilbert, E.N.2    Shepp, L.A.3    Frisch, H.L.4
  • 28
    • 0033964875 scopus 로고    scopus 로고
    • Every Discrete, Finite Image is Uniquely Determined by Its Dipole Histogram
    • Chubb, C., and Yellot, J. I., 2000, "Every Discrete, Finite Image is Uniquely Determined by Its Dipole Histogram," Vision Res., 40, pp. 485-492.
    • (2000) Vision Res , vol.40 , pp. 485-492
    • Chubb, C.1    Yellot, J.I.2
  • 29
    • 0037163783 scopus 로고    scopus 로고
    • Uniqueness of Reconstruction of Multi-phase Morphologies From Two-Point Correlation Functions
    • Rozman, M. G., and Utz, M., 2002, "Uniqueness of Reconstruction of Multi-phase Morphologies From Two-Point Correlation Functions," Phys. Rev. Lett., 89(13), pp. 135501.
    • (2002) Phys. Rev. Lett , vol.89 , Issue.13 , pp. 135501
    • Rozman, M.G.1    Utz, M.2
  • 30
    • 0020173780 scopus 로고
    • Phase Retrieval Algorithms: A Comparison
    • Fienup, J. R., 1982, "Phase Retrieval Algorithms: A Comparison," Appl. Opt., 21(15). pp. 2758-2769.
    • (1982) Appl. Opt , vol.21 , Issue.15 , pp. 2758-2769
    • Fienup, J.R.1
  • 31
    • 4344576290 scopus 로고    scopus 로고
    • Is It Possible to Characterize the Geometry of a Real Porous Medium by a Direct Measurement on a Finite Section? I: The Phase-Retrieval Problem
    • Anguy, Y., Ehrlich, R., and Mercet, C., 2003, "Is It Possible to Characterize the Geometry of a Real Porous Medium by a Direct Measurement on a Finite Section? I: The Phase-Retrieval Problem," Math. Geol., 35(7), pp. 763-788.
    • (2003) Math. Geol , vol.35 , Issue.7 , pp. 763-788
    • Anguy, Y.1    Ehrlich, R.2    Mercet, C.3
  • 33
    • 0033885932 scopus 로고    scopus 로고
    • Estimation of the Influence of Second- and Third-Order Moments on Random Sets Reconstructions
    • Aubert, A., and Jeulin, D., 2000, "Estimation of the Influence of Second- and Third-Order Moments on Random Sets Reconstructions," Pattern Recogn. 33(6), pp. 1083-1104.
    • (2000) Pattern Recogn , vol.33 , Issue.6 , pp. 1083-1104
    • Aubert, A.1    Jeulin, D.2
  • 34
    • 2942532617 scopus 로고    scopus 로고
    • Theory of Texture Discrimination of Based on Higher-Order Perturbations in Individual Texture Samples
    • Tyler, C. W., 2004, "Theory of Texture Discrimination of Based on Higher-Order Perturbations in Individual Texture Samples," Vision Res., 44, pp. 2179-2186.
    • (2004) Vision Res , vol.44 , pp. 2179-2186
    • Tyler, C.W.1
  • 35
    • 23244444834 scopus 로고    scopus 로고
    • A Stochastic Computation Method for Evaluation of Global and Local Behavior of Random Elastic Media
    • Xu, X. F., and Graham-Brady, L., 2005, "A Stochastic Computation Method for Evaluation of Global and Local Behavior of Random Elastic Media," Comput. Methods Appl. Mech. Eng., 194(42-44), pp. 4362-4385.
    • (2005) Comput. Methods Appl. Mech. Eng , vol.194 , Issue.42-44 , pp. 4362-4385
    • Xu, X.F.1    Graham-Brady, L.2
  • 36
    • 0003678451 scopus 로고
    • Markov Field on Finite Graphs and Lattices
    • unpublished
    • Hammersley, J. M., and Clifford, P., 1971, "Markov Field on Finite Graphs and Lattices," unpublished.
    • (1971)
    • Hammersley, J.M.1    Clifford, P.2
  • 38
    • 5744249209 scopus 로고    scopus 로고
    • Metropolis. N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and eller, E., 1953, Equations of State Calculations by Fast Computational Machine, J. Chem. Phys., 21, pp. 1087-1091.
    • Metropolis. N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and eller, E., 1953, "Equations of State Calculations by Fast Computational Machine," J. Chem. Phys., 21, pp. 1087-1091.
  • 39
    • 0021518209 scopus 로고
    • Stochastic Relaxation, Gibbs Distribution and the Bayesian Restoration of Images
    • Geman, S., and Geman, D., 1984, "Stochastic Relaxation, Gibbs Distribution and the Bayesian Restoration of Images," IEEE Trans. Pattern Anal. Mach. Intell., 6(6), pp. 721-741.
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell , vol.6 , Issue.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 40
    • 0028272615 scopus 로고
    • Gibbs Random Fields, Cooccurrences, and Texture Modeling
    • Elfadel, I. M., and Picard, R. W., 1994, "Gibbs Random Fields, Cooccurrences, and Texture Modeling," IEEE Trans. Pattern Anal. Mach. Intell., 16(1), pp. 24-37.
    • (1994) IEEE Trans. Pattern Anal. Mach. Intell , vol.16 , Issue.1 , pp. 24-37
    • Elfadel, I.M.1    Picard, R.W.2
  • 41
    • 0035519093 scopus 로고    scopus 로고
    • Texture Synthesis Using Gray-Level Cooccurrence Models: Algorithms, Experimental Analysis, and Psychophysical Support
    • Copeland, A. C., Ravichandran, G., Trivedi, M. M., 2001, "Texture Synthesis Using Gray-Level Cooccurrence Models: Algorithms, Experimental Analysis, and Psychophysical Support," Opt. Eng. (Bellingham), 40(11), pp. 2655-2673.
    • (2001) Opt. Eng. (Bellingham) , vol.40 , Issue.11 , pp. 2655-2673
    • Copeland, A.C.1    Ravichandran, G.2    Trivedi, M.M.3
  • 44
    • 0035365435 scopus 로고    scopus 로고
    • Efficient Reconstruction of Multiphase Morphologies From Correlation Functions
    • Rozman, M. G., and Utz, M., 2001, "Efficient Reconstruction of Multiphase Morphologies From Correlation Functions," Phys. Rev. E, 63(6). p. 066701.
    • (2001) Phys. Rev. E , vol.63 , Issue.6 , pp. 066701
    • Rozman, M.G.1    Utz, M.2
  • 45
    • 84953649728 scopus 로고
    • Statistics of Random Media
    • Frisch, H. L., 1965, "Statistics of Random Media," Trans. Soc. Rheol., 9(1), pp. 293-312.
    • (1965) Trans. Soc. Rheol , vol.9 , Issue.1 , pp. 293-312
    • Frisch, H.L.1
  • 46
    • 0032074003 scopus 로고    scopus 로고
    • On the Relation Between Second-Order Statistics, Connectivity Analysis, and Percolation Models in Digital Textures
    • Pikaz, A., and Averbuch, A., 1998, "On the Relation Between Second-Order Statistics, Connectivity Analysis, and Percolation Models in Digital Textures," Graph. Models Image Process., 60(3), pp. 226-232.
    • (1998) Graph. Models Image Process , vol.60 , Issue.3 , pp. 226-232
    • Pikaz, A.1    Averbuch, A.2
  • 47
    • 0035420139 scopus 로고    scopus 로고
    • Permeability and Conductivity for Reconstruction Models of Porous Media
    • Hilfer, R., and Manwart, C., 2001, "Permeability and Conductivity for Reconstruction Models of Porous Media," Phys. Rev. E, 64(2), p. 021304.
    • (2001) Phys. Rev. E , vol.64 , Issue.2 , pp. 021304
    • Hilfer, R.1    Manwart, C.2
  • 48
    • 37649032737 scopus 로고    scopus 로고
    • Finite-Element Method for Calculation of the Effective Permittivity of Random Inhomogeneous Media
    • Myroshnychenko, V., and Brosseau, C., 2005, "Finite-Element Method for Calculation of the Effective Permittivity of Random Inhomogeneous Media." Phys. Rev. E. 71(1), p. 016701.
    • (2005) Phys. Rev. E , vol.71 , Issue.1 , pp. 016701
    • Myroshnychenko, V.1    Brosseau, C.2
  • 49
    • 36549097387 scopus 로고
    • Measurement of Spatial Correlation Function Using Image Processing Techniques
    • Berryman, J. G., 1985, "Measurement of Spatial Correlation Function Using Image Processing Techniques," J. Appl. Phys., 57(7), pp. 2374-2384.
    • (1985) J. Appl. Phys , vol.57 , Issue.7 , pp. 2374-2384
    • Berryman, J.G.1
  • 50
    • 0347415769 scopus 로고    scopus 로고
    • Quantitative Characterization of Spatial Clustering in Three-Dimensional Microstructures Using Two-Point Correlation Functions
    • Tewari, A., Gokhale, A. M., Spowart, J. E., and Miracle, D. B., 2004, "Quantitative Characterization of Spatial Clustering in Three-Dimensional Microstructures Using Two-Point Correlation Functions." Acta Mater., 52(2), pp. 307-319.
    • (2004) Acta Mater , vol.52 , Issue.2 , pp. 307-319
    • Tewari, A.1    Gokhale, A.M.2    Spowart, J.E.3    Miracle, D.B.4
  • 51
    • 0024048378 scopus 로고
    • Digital Generation of Non-Gaussian Stochastic Fields
    • Yamazaki, F., and Shinozuka, M., 1988, "Digital Generation of Non-Gaussian Stochastic Fields," J. Eng. Mech., 114(7), pp. 1183-1197.
    • (1988) J. Eng. Mech , vol.114 , Issue.7 , pp. 1183-1197
    • Yamazaki, F.1    Shinozuka, M.2
  • 52
    • 0028378451 scopus 로고
    • Construction of Particular Random Processes
    • Johnson, G. E., 1993, "Construction of Particular Random Processes," Proc. IEEE. 82(2), pp. 270-285.
    • (1993) Proc. IEEE , vol.82 , Issue.2 , pp. 270-285
    • Johnson, G.E.1
  • 53
    • 0000147956 scopus 로고    scopus 로고
    • Generation of Non-Gaussian Stationary Stochastic Processes
    • Cai, G. Q., and Lin, Y. K., 1996, "Generation of Non-Gaussian Stationary Stochastic Processes." Phys. Rev. E, 54(1), pp. 299-303.
    • (1996) Phys. Rev. E , vol.54 , Issue.1 , pp. 299-303
    • Cai, G.Q.1    Lin, Y.K.2
  • 54
    • 0030242810 scopus 로고    scopus 로고
    • Gurley, K. R., Kareem, A., and Tognarelli, M. A., 19%, Simulation of a Class of Non-Normal Random Processes. Int. J. Non-Linear Mech., 31(5), pp. 601-617.
    • Gurley, K. R., Kareem, A., and Tognarelli, M. A., 19%, "Simulation of a Class of Non-Normal Random Processes." Int. J. Non-Linear Mech., 31(5), pp. 601-617.
  • 55
    • 0003113147 scopus 로고    scopus 로고
    • Simulation of Stationary Non-Gaussian Translation Processes
    • Grigoriu, M., 1998, "Simulation of Stationary Non-Gaussian Translation Processes," J. Eng. Mech., 124(2), pp. 121-126.
    • (1998) J. Eng. Mech , vol.124 , Issue.2 , pp. 121-126
    • Grigoriu, M.1
  • 56
    • 0035581029 scopus 로고    scopus 로고
    • Simulation of Highly Skewed Non-Gaussian Stochastic Processes
    • Deodatis, G., and Micaletti, R. C., 2001, "Simulation of Highly Skewed Non-Gaussian Stochastic Processes," J. Eng. Mech., 127(12), pp. 1284-1295.
    • (2001) J. Eng. Mech , vol.127 , Issue.12 , pp. 1284-1295
    • Deodatis, G.1    Micaletti, R.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.