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Volumn 137, Issue , 2014, Pages 78-92

Statistical reconstruction of two-phase random media

Author keywords

Composite material; FFT; Non Gaussian field; Random microstructure; Sample reconstruction

Indexed keywords

COMPOSITE MATERIALS; DISTRIBUTION FUNCTIONS; FAST FOURIER TRANSFORMS; GAUSSIAN DISTRIBUTION; RANDOM PROCESSES;

EID: 84897483370     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2013.03.019     Document Type: Article
Times cited : (51)

References (51)
  • 1
    • 0001410042 scopus 로고    scopus 로고
    • Reconstructing random media
    • C.L.Y. Yeong, and S. Torquato Reconstructing random media Phys Rev E 57 1998 495 506
    • (1998) Phys Rev e , vol.57 , pp. 495-506
    • Yeong, C.L.Y.1    Torquato, S.2
  • 2
    • 33646715623 scopus 로고    scopus 로고
    • Simulation of multidimensional binary random fields with application to modeling of two-phase random media
    • P.S. Koutsourelakis, and G. Deodatis Simulation of multidimensional binary random fields with application to modeling of two-phase random media J Eng Mech ASCE 132 2006 619 631
    • (2006) J Eng Mech ASCE , vol.132 , pp. 619-631
    • Koutsourelakis, P.S.1    Deodatis, G.2
  • 3
    • 61849111745 scopus 로고    scopus 로고
    • On optimization techniques to reconstruct microstructures of random heterogeneous media
    • E. Patelli, and G. Schueller On optimization techniques to reconstruct microstructures of random heterogeneous media Comput Mater Sci 45 2009 536 549
    • (2009) Comput Mater Sci , vol.45 , pp. 536-549
    • Patelli, E.1    Schueller, G.2
  • 4
    • 0043228682 scopus 로고    scopus 로고
    • Random texture models for material structures
    • D. Jeulin Random texture models for material structures Stat Comput 10 2000 121 132
    • (2000) Stat Comput , vol.10 , pp. 121-132
    • Jeulin, D.1
  • 5
    • 70350410100 scopus 로고    scopus 로고
    • Complexity science of multiscale materials via stochastic computations
    • W.K. Liu, L. Siad, R. Tian, S. Lee, D. Lee, and X.L. Yin et al. Complexity science of multiscale materials via stochastic computations Int J Numer Methods Eng 80 2009 932 978
    • (2009) Int J Numer Methods Eng , vol.80 , pp. 932-978
    • Liu, W.K.1    Siad, L.2    Tian, R.3    Lee, S.4    Lee, D.5    Yin, X.L.6
  • 6
    • 0032108984 scopus 로고    scopus 로고
    • Random field models of heterogeneous materials
    • M. Ostoja-Starzewski Random field models of heterogeneous materials Int J Solids Struct 35 1998 2429 2455
    • (1998) Int J Solids Struct , vol.35 , pp. 2429-2455
    • Ostoja-Starzewski, M.1
  • 8
    • 0001232137 scopus 로고    scopus 로고
    • Reconstructing random media. II. Three-dimensional media from two-dimensiomal cuts
    • C.L.Y. Yeong, and S. Torquato Reconstructing random media. II. Three-dimensional media from two-dimensiomal cuts Phys Rev E 58 1998 224 233
    • (1998) Phys Rev e , vol.58 , pp. 224-233
    • Yeong, C.L.Y.1    Torquato, S.2
  • 9
    • 41549104574 scopus 로고    scopus 로고
    • Modeling heterogeneous materials via two-point correlation functions. II. Algorithmic details and applications
    • Y. Jiao, F.H. Stillinger, and S. Torquato Modeling heterogeneous materials via two-point correlation functions. II. Algorithmic details and applications Phys Rev E 77 2008
    • (2008) Phys Rev e , vol.77
    • Jiao, Y.1    Stillinger, F.H.2    Torquato, S.3
  • 10
    • 55149103023 scopus 로고    scopus 로고
    • Stochastic morphological modeling of random multiphase materials
    • L. Graham-Brady, and X.F. Xu Stochastic morphological modeling of random multiphase materials J Appl Mech Trans ASME 75 2008
    • (2008) J Appl Mech Trans ASME , vol.75
    • Graham-Brady, L.1    Xu, X.F.2
  • 11
    • 84856579261 scopus 로고    scopus 로고
    • Computational optimization strategies for the simulation of random media and components
    • E. Patelli, and G.I. Schuëller Computational optimization strategies for the simulation of random media and components Comput Optim Appl 2012 1 29
    • (2012) Comput Optim Appl , pp. 1-29
    • Patelli, E.1    Schuëller, G.I.2
  • 12
    • 33646002343 scopus 로고    scopus 로고
    • A maximum entropy approach for property prediction of random microstructures
    • S. Sankaran, and N. Zabaras A maximum entropy approach for property prediction of random microstructures Acta Mater 54 2006 2265 2276
    • (2006) Acta Mater , vol.54 , pp. 2265-2276
    • Sankaran, S.1    Zabaras, N.2
  • 13
    • 33746263951 scopus 로고    scopus 로고
    • Probabilistic characterization and simulation of multi-phase random media
    • P.S. Koutsourelakis Probabilistic characterization and simulation of multi-phase random media Prob Eng Mech 21 2006 227 234
    • (2006) Prob Eng Mech , vol.21 , pp. 227-234
    • Koutsourelakis, P.S.1
  • 15
    • 0000380204 scopus 로고
    • Information theory and statistical mechanics
    • E.T. Jaynes Information theory and statistical mechanics Stat Phys Brandeis Lect 3 1963 160 185
    • (1963) Stat Phys Brandeis Lect , vol.3 , pp. 160-185
    • Jaynes, E.T.1
  • 16
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics. II
    • E.T. Jaynes Information theory and statistical mechanics. II Phys Rev 108 1957 171
    • (1957) Phys Rev , vol.108 , pp. 171
    • Jaynes, E.T.1
  • 19
    • 32344446687 scopus 로고
    • Understanding the metropolis-hastings algorithm
    • S. Chib, and E. Greenberg Understanding the metropolis-hastings algorithm Am Stat 1995 327 335
    • (1995) Am Stat , pp. 327-335
    • Chib, S.1    Greenberg, E.2
  • 20
    • 84950437936 scopus 로고
    • Annealing Markov chain Monte Carlo with applications to ancestral inference
    • C.J. Geyer, and E.A. Thompson Annealing Markov chain Monte Carlo with applications to ancestral inference J Am Stat Assoc 1995 909 920
    • (1995) J Am Stat Assoc , pp. 909-920
    • Geyer, C.J.1    Thompson, E.A.2
  • 21
    • 0034336065 scopus 로고    scopus 로고
    • Multivariate dispersion models generated from Gaussian copula
    • P.X.K. Song Multivariate dispersion models generated from Gaussian copula Scand J Stat 27 2000 305 320
    • (2000) Scand J Stat , vol.27 , pp. 305-320
    • Song, P.X.K.1
  • 22
    • 0003113147 scopus 로고    scopus 로고
    • Simulation of stationary non-Gaussian translation processes
    • M. Grigoriu Simulation of stationary non-Gaussian translation processes J Eng Mech ASCE 124 1998 121 126
    • (1998) J Eng Mech ASCE , vol.124 , pp. 121-126
    • Grigoriu, M.1
  • 23
    • 0001270471 scopus 로고
    • Transport properties of heterogeneous materials derived from Gaussian random fields: Bounds and simulation
    • A.P. Roberts, and M. Teubner Transport properties of heterogeneous materials derived from Gaussian random fields: bounds and simulation Phys Rev E 51 1995 4141 4154
    • (1995) Phys Rev e , vol.51 , pp. 4141-4154
    • Roberts, A.P.1    Teubner, M.2
  • 24
    • 4243524123 scopus 로고
    • Scattering properties of the leveled-wave model of random morphologies
    • N.F. Berk Scattering properties of the leveled-wave model of random morphologies Phys Rev A 44 1991 5069 5079
    • (1991) Phys Rev A , vol.44 , pp. 5069-5079
    • Berk, N.F.1
  • 25
    • 0024048378 scopus 로고
    • Digital generation of non-Gaussian stochastic fields
    • F. Yamazaki, and M. Shinozuka Digital generation of non-Gaussian stochastic fields J Eng Mech ASCE 114 1988 1183 1197
    • (1988) J Eng Mech ASCE , vol.114 , pp. 1183-1197
    • Yamazaki, F.1    Shinozuka, M.2
  • 26
    • 0035581029 scopus 로고    scopus 로고
    • Simulation of highly skewed non-Gaussian stochastic processes
    • G. Deodatis, and R.C. Micaletti Simulation of highly skewed non-Gaussian stochastic processes J Eng Mech ASCE 127 2001 1284 1295
    • (2001) J Eng Mech ASCE , vol.127 , pp. 1284-1295
    • Deodatis, G.1    Micaletti, R.C.2
  • 27
    • 0031646355 scopus 로고    scopus 로고
    • Simulation of homogeneous nonGaussian stochastic vector fields
    • R. Popescu, G. Deodatis, and J.H. Prevost Simulation of homogeneous nonGaussian stochastic vector fields Prob Eng Mech 13 1998 1 13
    • (1998) Prob Eng Mech , vol.13 , pp. 1-13
    • Popescu, R.1    Deodatis, G.2    Prevost, J.H.3
  • 28
    • 80052595676 scopus 로고    scopus 로고
    • A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process
    • M.D. Shields, G. Deodatis, and P. Bocchini A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process Prob Eng Mech 26 2011 511 519
    • (2011) Prob Eng Mech , vol.26 , pp. 511-519
    • Shields, M.D.1    Deodatis, G.2    Bocchini, P.3
  • 29
    • 67349248881 scopus 로고    scopus 로고
    • Existence and construction of translation models for stationary non-Gaussian processes
    • M. Grigoriu Existence and construction of translation models for stationary non-Gaussian processes Prob Eng Mech 24 2009 545 551
    • (2009) Prob Eng Mech , vol.24 , pp. 545-551
    • Grigoriu, M.1
  • 34
    • 33749001696 scopus 로고    scopus 로고
    • Fourier representation of random media fields in stochastic finite element modelling
    • C.F. Li, Y.T. Feng, D.R.J. Owen, and I.M. Davies Fourier representation of random media fields in stochastic finite element modelling Eng Comput 23 2006 794 817
    • (2006) Eng Comput , vol.23 , pp. 794-817
    • Li, C.F.1    Feng, Y.T.2    Owen, D.R.J.3    Davies, I.M.4
  • 35
    • 41449111235 scopus 로고    scopus 로고
    • A Fourier-Karhunen-Loeve discretization scheme for stationary random material properties in SFEM
    • C.F. Li, Y.T. Feng, D.R.J. Owen, D.F. Li, and I.M. Davis A Fourier-Karhunen-Loeve discretization scheme for stationary random material properties in SFEM Int J Numer Methods Eng 73 2008 1942 1965
    • (2008) Int J Numer Methods Eng , vol.73 , pp. 1942-1965
    • Li, C.F.1    Feng, Y.T.2    Owen, D.R.J.3    Li, D.F.4    Davis, I.M.5
  • 36
    • 0344153904 scopus 로고    scopus 로고
    • Computing the nearest correlation matrix - A problem from finance
    • N.J. Higham Computing the nearest correlation matrix - a problem from finance IMA J Numer Anal 22 2002 329 343
    • (2002) IMA J Numer Anal , vol.22 , pp. 329-343
    • Higham, N.J.1
  • 37
    • 34247364678 scopus 로고    scopus 로고
    • A quadratically convergent Newton method for computing the nearest correlation matrix
    • H.D. Qi, and D.F. Sun A quadratically convergent Newton method for computing the nearest correlation matrix SIAM J Matrix Anal Appl 28 2006 360 385
    • (2006) SIAM J Matrix Anal Appl , vol.28 , pp. 360-385
    • Qi, H.D.1    Sun, D.F.2
  • 38
    • 76549100532 scopus 로고    scopus 로고
    • A preconditioned Newton algorithm for the nearest correlation matrix
    • R. Borsdorf, and N.J. Higham A preconditioned Newton algorithm for the nearest correlation matrix IMA J Numer Anal 30 2010 94 107
    • (2010) IMA J Numer Anal , vol.30 , pp. 94-107
    • Borsdorf, R.1    Higham, N.J.2
  • 42
    • 0001372511 scopus 로고    scopus 로고
    • Statistical reconstruction of three-dimensional porous media from two-dimensional images
    • A.P. Roberts Statistical reconstruction of three-dimensional porous media from two-dimensional images Phys Rev E 56 1997 3203 3212
    • (1997) Phys Rev e , vol.56 , pp. 3203-3212
    • Roberts, A.P.1
  • 43
    • 0036351208 scopus 로고    scopus 로고
    • Stochastic reconstruction of particulate media from two-dimensional images
    • M.S. Talukdar, O. Torsaeter, and M.A. Ioannidis Stochastic reconstruction of particulate media from two-dimensional images J Colloid Interface Sci 248 2002 419 428
    • (2002) J Colloid Interface Sci , vol.248 , pp. 419-428
    • Talukdar, M.S.1    Torsaeter, O.2    Ioannidis, M.A.3
  • 44
    • 0034665909 scopus 로고    scopus 로고
    • On the geometry and topology of 3D stochastic porous media
    • M.A. Ioannidis, and I. Chatzis On the geometry and topology of 3D stochastic porous media J Colloid Interface Sci 229 2000 323 334
    • (2000) J Colloid Interface Sci , vol.229 , pp. 323-334
    • Ioannidis, M.A.1    Chatzis, I.2
  • 45
    • 76449121790 scopus 로고    scopus 로고
    • Numerical simulation of graphite properties using X-ray tomography and fast multipole boundary element method
    • H.T. Wang, G. Hall, S.Y. Yu, and Z.H. Yao Numerical simulation of graphite properties using X-ray tomography and fast multipole boundary element method CMES Comput Model Eng Sci 37 2008 153 174
    • (2008) CMES Comput Model Eng Sci , vol.37 , pp. 153-174
    • Wang, H.T.1    Hall, G.2    Yu, S.Y.3    Yao, Z.H.4
  • 48
    • 0026119462 scopus 로고
    • Tutorial on higher-order statistics (spectra) in signal-processing and system-theory - Theoretical results and some applications
    • J.M. Mendel Tutorial on higher-order statistics (spectra) in signal-processing and system-theory - theoretical results and some applications Proc IEEE 79 1991 278 305
    • (1991) Proc IEEE , vol.79 , pp. 278-305
    • Mendel, J.M.1
  • 49
    • 0023383894 scopus 로고
    • Bispectrum estimation - A digital signal-processing framework
    • C.L. Nikias, and M.R. Raghuveer Bispectrum estimation - a digital signal-processing framework Proc IEEE 75 1987 869 891
    • (1987) Proc IEEE , vol.75 , pp. 869-891
    • Nikias, C.L.1    Raghuveer, M.R.2
  • 50
    • 85032751474 scopus 로고
    • Signal processing with higher-order spectra
    • C.L. Nikias, and J.M. Mendel Signal processing with higher-order spectra IEEE Signal Process Mag 10 1993 10 37
    • (1993) IEEE Signal Process Mag , vol.10 , pp. 10-37
    • Nikias, C.L.1    Mendel, J.M.2


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