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Volumn 30, Issue 4, 2008, Pages 337-363

Simulation of simply cross correlated random fields by series expansion methods

Author keywords

Karhunen Lo ve expansion; Latin hypercube sampling; Monte Carlo simulation; Multivariate random field; Orthogonal transformation of a covariance matrix; SFEM; Size effect

Indexed keywords

AUTOCORRELATION; COMPUTER SIMULATION; COVARIANCE MATRIX; EIGENVALUES AND EIGENFUNCTIONS; FRACTURE MECHANICS; GAUSSIAN DISTRIBUTION;

EID: 41149086898     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.strusafe.2007.05.002     Document Type: Article
Times cited : (128)

References (64)
  • 1
    • 0001122119 scopus 로고
    • Eigenvectors of certain matrices
    • Andrew A.L. Eigenvectors of certain matrices. Linear Algebra Appl 7 (1973) 151-162
    • (1973) Linear Algebra Appl , vol.7 , pp. 151-162
    • Andrew, A.L.1
  • 3
    • 33846426811 scopus 로고    scopus 로고
    • Asymptotic prediction of energetic-statistical size effect from deterministic finite element solutions
    • Bažant Z.P., Vořechovský M., and Novák D. Asymptotic prediction of energetic-statistical size effect from deterministic finite element solutions. J Eng Mech (ASCE) 133 2 (2007) 153-162
    • (2007) J Eng Mech (ASCE) , vol.133 , Issue.2 , pp. 153-162
    • Bažant, Z.P.1    Vořechovský, M.2    Novák, D.3
  • 4
    • 0029540694 scopus 로고
    • A contribution to the SFE-based reliability assessment of nonlinear structures under dynamic loading
    • Brenner C., and Bucher C. A contribution to the SFE-based reliability assessment of nonlinear structures under dynamic loading. Probab Eng Mech 10 4 (1995) 265-273
    • (1995) Probab Eng Mech , vol.10 , Issue.4 , pp. 265-273
    • Brenner, C.1    Bucher, C.2
  • 5
    • 25444519219 scopus 로고    scopus 로고
    • Simulation of multivariate stationary Gaussian stochastic processes: hybrid spectral representation and proper orthogonal decomposition approach
    • Chen L., and Letchford C.W. Simulation of multivariate stationary Gaussian stochastic processes: hybrid spectral representation and proper orthogonal decomposition approach. J Eng Mech 131 8 (2005) 801-806
    • (2005) J Eng Mech , vol.131 , Issue.8 , pp. 801-806
    • Chen, L.1    Letchford, C.W.2
  • 6
    • 28244483378 scopus 로고    scopus 로고
    • Stochastic modeling of multi-filament yarns I: Random properties within the cross section and size effect
    • Chudoba R., Vořechovský M., and Konrad M. Stochastic modeling of multi-filament yarns I: Random properties within the cross section and size effect. Int J Solids Struct 43 3-4 (2006) 413-434
    • (2006) Int J Solids Struct , vol.43 , Issue.3-4 , pp. 413-434
    • Chudoba, R.1    Vořechovský, M.2    Konrad, M.3
  • 7
    • 0034159355 scopus 로고    scopus 로고
    • A simple FIR-filter interpretation of the extreme eigenvalues of a Toeplitz autocorrelation matrix
    • Coleman J.O. A simple FIR-filter interpretation of the extreme eigenvalues of a Toeplitz autocorrelation matrix. Comput Electr Eng 26 2 (2000) 141-149
    • (2000) Comput Electr Eng , vol.26 , Issue.2 , pp. 141-149
    • Coleman, J.O.1
  • 8
    • 3542990954 scopus 로고
    • Bounds on response variability of stochastic finite element systems
    • Deodatis G. Bounds on response variability of stochastic finite element systems. J Eng Mech 116 3 (1990) 565-585
    • (1990) J Eng Mech , vol.116 , Issue.3 , pp. 565-585
    • Deodatis, G.1
  • 9
    • 0026204804 scopus 로고
    • The weighted integral method, I: Stochastic stiffness matrix
    • Deodatis G. The weighted integral method, I: Stochastic stiffness matrix. J Eng Mech 117 9 (1991) 1851-1864
    • (1991) J Eng Mech , vol.117 , Issue.9 , pp. 1851-1864
    • Deodatis, G.1
  • 10
    • 0000425747 scopus 로고    scopus 로고
    • Simulation of ergodic multivariate stochastic processes
    • Deodatis G. Simulation of ergodic multivariate stochastic processes. J Eng Mech 122 8 (1996) 778-787
    • (1996) J Eng Mech , vol.122 , Issue.8 , pp. 778-787
    • Deodatis, G.1
  • 11
    • 0035581029 scopus 로고    scopus 로고
    • Simulation of highly skewed non-Gaussian stochastic processes
    • Deodatis G., and Micaletti R. Simulation of highly skewed non-Gaussian stochastic processes. J Eng Mech 127 12 (2001) 1284-1295
    • (2001) J Eng Mech , vol.127 , Issue.12 , pp. 1284-1295
    • Deodatis, G.1    Micaletti, R.2
  • 12
    • 0026204584 scopus 로고
    • The weighted integral method, II: Response variability and reliability
    • Deodatis G., and Shinozuka M. The weighted integral method, II: Response variability and reliability. J Eng Mech 117 8 (1991) 1865-1877
    • (1991) J Eng Mech , vol.117 , Issue.8 , pp. 1865-1877
    • Deodatis, G.1    Shinozuka, M.2
  • 13
    • 13844313894 scopus 로고
    • The stochastic finite element method in structural reliability
    • Der Kiureghian A., and Ke J.-B. The stochastic finite element method in structural reliability. Probab Eng Mech 3 2 (1988) 83-91
    • (1988) Probab Eng Mech , vol.3 , Issue.2 , pp. 83-91
    • Der Kiureghian, A.1    Ke, J.-B.2
  • 14
    • 41149140505 scopus 로고    scopus 로고
    • Ditlevsen O. Dimension reduction and discretization in stochastic problems by regression method. In: Casciati F, JBR, editors. Mathematical models for structural reliability analysis. Florida: Springer; 1996. p. 129-36 [Chapter 2].
    • Ditlevsen O. Dimension reduction and discretization in stochastic problems by regression method. In: Casciati F, JBR, editors. Mathematical models for structural reliability analysis. Florida: Springer; 1996. p. 129-36 [Chapter 2].
  • 15
    • 1142304457 scopus 로고    scopus 로고
    • On the accuracy of the polynomial chaos approximation
    • Field R., and Grigoriu M. On the accuracy of the polynomial chaos approximation. Probab Eng Mech 19 1-2 (2004) 65-80
    • (2004) Probab Eng Mech , vol.19 , Issue.1-2 , pp. 65-80
    • Field, R.1    Grigoriu, M.2
  • 17
    • 0021407869 scopus 로고
    • Crossing of non-Gaussian translation processes
    • Grigoriu M. Crossing of non-Gaussian translation processes. J Eng Mech 110 4 (1984) 610-620
    • (1984) J Eng Mech , vol.110 , Issue.4 , pp. 610-620
    • Grigoriu, M.1
  • 19
    • 0003113147 scopus 로고    scopus 로고
    • Simulation of stationary non-Gaussian translation processes
    • Grigoriu M. Simulation of stationary non-Gaussian translation processes. J Eng Mech 124 2 (1998) 121-126
    • (1998) J Eng Mech , vol.124 , Issue.2 , pp. 121-126
    • Grigoriu, M.1
  • 20
    • 2342638933 scopus 로고    scopus 로고
    • Spectral representation for a class of non-Gaussian processes
    • Grigoriu M. Spectral representation for a class of non-Gaussian processes. J Eng Mech 130 5 (2004) 541-546
    • (2004) J Eng Mech , vol.130 , Issue.5 , pp. 541-546
    • Grigoriu, M.1
  • 21
    • 30944435311 scopus 로고    scopus 로고
    • Evaluation of Karhunen-Loéve, spectral, and sampling representations for stochastic processes
    • Grigoriu M. Evaluation of Karhunen-Loéve, spectral, and sampling representations for stochastic processes. J Eng Mech 132 2 (2006) 179-189
    • (2006) J Eng Mech , vol.132 , Issue.2 , pp. 179-189
    • Grigoriu, M.1
  • 23
    • 0032186671 scopus 로고    scopus 로고
    • Improvements to and limitations of Latin Hypercube Sampling
    • Huntington D.E., and Lyrintzis C.S. Improvements to and limitations of Latin Hypercube Sampling. Probab Eng Mech 13 4 (1998) 245-253
    • (1998) Probab Eng Mech , vol.13 , Issue.4 , pp. 245-253
    • Huntington, D.E.1    Lyrintzis, C.S.2
  • 24
    • 84900847494 scopus 로고
    • Small sample sensitivity analysis techniques for computer models with an application to risk assessment
    • Iman R.C., and Conover W.J. Small sample sensitivity analysis techniques for computer models with an application to risk assessment. Commun Statist: Theory and Methods A 9 17 (1980) 1749-1842
    • (1980) Commun Statist: Theory and Methods A , vol.9 , Issue.17 , pp. 1749-1842
    • Iman, R.C.1    Conover, W.J.2
  • 25
    • 84933516758 scopus 로고
    • A distribution free approach to inducing rank correlation among input variables
    • Iman R.C., and Conover W.J. A distribution free approach to inducing rank correlation among input variables. Commun Statist B 11 (1982) 311-334
    • (1982) Commun Statist B , vol.11 , pp. 311-334
    • Iman, R.C.1    Conover, W.J.2
  • 26
    • 0027608710 scopus 로고
    • Optimal discretization of random fields
    • Li C.-C., and Der Kiureghian A. Optimal discretization of random fields. J Eng Mech 119 6 (1993) 1136-1154
    • (1993) J Eng Mech , vol.119 , Issue.6 , pp. 1136-1154
    • Li, C.-C.1    Der Kiureghian, A.2
  • 27
    • 0001228444 scopus 로고
    • Multivariate distribution models with prescribed marginals and covariances
    • Liu P., and Der Kiureghian A. Multivariate distribution models with prescribed marginals and covariances. Probab Eng Mech 1 2 (1986) 105-111
    • (1986) Probab Eng Mech , vol.1 , Issue.2 , pp. 105-111
    • Liu, P.1    Der Kiureghian, A.2
  • 28
    • 0022719849 scopus 로고
    • Probabilistic finite elements for nonlinear structural dynamics
    • Liu W.-K., Belytschko T., and Mani A. Probabilistic finite elements for nonlinear structural dynamics. Comput Methods Appl Mech Eng 56 (1986) 61-86
    • (1986) Comput Methods Appl Mech Eng , vol.56 , pp. 61-86
    • Liu, W.-K.1    Belytschko, T.2    Mani, A.3
  • 31
    • 0031333532 scopus 로고    scopus 로고
    • Uncertainties in probabilistic numerical analysis of structures and solids-stochastic finite elements
    • Matthies G., Brenner C., Bucher C., and Soares C. Uncertainties in probabilistic numerical analysis of structures and solids-stochastic finite elements. Struct safety 19 3 (1997) 283-336
    • (1997) Struct safety , vol.19 , Issue.3 , pp. 283-336
    • Matthies, G.1    Brenner, C.2    Bucher, C.3    Soares, C.4
  • 32
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • McKay M.D., Conover W.J., and Beckman R.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21 (1979) 239-245
    • (1979) Technometrics , vol.21 , pp. 239-245
    • McKay, M.D.1    Conover, W.J.2    Beckman, R.J.3
  • 33
    • 0002243162 scopus 로고
    • Détermination des distributions de probabilités dont les marges sont donnés
    • Nataf A. Détermination des distributions de probabilités dont les marges sont donnés. CR Acad Sci 225 (1962) 42-43
    • (1962) CR Acad Sci , vol.225 , pp. 42-43
    • Nataf, A.1
  • 34
    • 0038377193 scopus 로고    scopus 로고
    • Fast multipole accelerated boundary integral equation methods
    • Nishimura N. Fast multipole accelerated boundary integral equation methods. Appl Mech Rev 55 4 (2002) 299-324
    • (2002) Appl Mech Rev , vol.55 , Issue.4 , pp. 299-324
    • Nishimura, N.1
  • 36
    • 41149121757 scopus 로고    scopus 로고
    • Novák D, Lawanwisut W, Bucher C. Simulation of random fields based on orthogonal transformation of covariance matrix and Latin Hypercube Samplings. In: Schuëller GI, Spanos Der Kiureghian PD, Pestana M, editors. International conference on Monte Carlo simulation MC 2000. Swets & Zeitlinger, Lisse (2001), Monaco, Monte Carlo. p. 129-36.
    • Novák D, Lawanwisut W, Bucher C. Simulation of random fields based on orthogonal transformation of covariance matrix and Latin Hypercube Samplings. In: Schuëller GI, Spanos Der Kiureghian PD, Pestana M, editors. International conference on Monte Carlo simulation MC 2000. Swets & Zeitlinger, Lisse (2001), Monaco, Monte Carlo. p. 129-36.
  • 37
    • 0029413381 scopus 로고
    • Error assessment for wind histories generated by autoregressive method
    • Novák D., Stoyanoff S., and Herda H. Error assessment for wind histories generated by autoregressive method. Struct Safety 17 1 (1995) 121-125
    • (1995) Struct Safety , vol.17 , Issue.1 , pp. 121-125
    • Novák, D.1    Stoyanoff, S.2    Herda, H.3
  • 39
    • 0036172940 scopus 로고    scopus 로고
    • Latin hypercube sampling for stochastic finite element analysis
    • technical note
    • Olsson J., and Sandberg G.E. Latin hypercube sampling for stochastic finite element analysis. J Eng Mech, ASCE 128 1 (2002) 121-125 technical note
    • (2002) J Eng Mech, ASCE , vol.128 , Issue.1 , pp. 121-125
    • Olsson, J.1    Sandberg, G.E.2
  • 40
    • 22944470796 scopus 로고    scopus 로고
    • Simulation of strongly non-Gaussian processes using KarhunenLoeve expansion
    • Phoon K., Huang H., and Quek S. Simulation of strongly non-Gaussian processes using KarhunenLoeve expansion. Probab Eng Mech 20 2 (2005) 188-198
    • (2005) Probab Eng Mech , vol.20 , Issue.2 , pp. 188-198
    • Phoon, K.1    Huang, H.2    Quek, S.3
  • 41
    • 0036639976 scopus 로고    scopus 로고
    • Implementation of Karhunen-Loeve expansion for simulation using a wavelet-Galerkin scheme
    • Phoon K., Huang S., and Quek S. Implementation of Karhunen-Loeve expansion for simulation using a wavelet-Galerkin scheme. Probab Eng Mech 17 3 (2002) 293-303
    • (2002) Probab Eng Mech , vol.17 , Issue.3 , pp. 293-303
    • Phoon, K.1    Huang, S.2    Quek, S.3
  • 42
    • 0036640614 scopus 로고    scopus 로고
    • Non-gaussian simulation using Hermite polynomial expansion: convergences and algorithms
    • Puig B., Poirion F., and Soize C. Non-gaussian simulation using Hermite polynomial expansion: convergences and algorithms. Probab Eng Mech 17 3 (2002) 253-264
    • (2002) Probab Eng Mech , vol.17 , Issue.3 , pp. 253-264
    • Puig, B.1    Poirion, F.2    Soize, C.3
  • 43
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin V. Rapid solution of integral equations of classical potential theory. J Comput Phys 60 2 (1985) 187-207
    • (1985) J Comput Phys , vol.60 , Issue.2 , pp. 187-207
    • Rokhlin, V.1
  • 44
    • 0036472444 scopus 로고    scopus 로고
    • Polynomial chaos decomposition for the simulation of non-Gaussian nonstationary stochastic processes
    • Sakamoto S., and Ghanem R. Polynomial chaos decomposition for the simulation of non-Gaussian nonstationary stochastic processes. J Eng Mech 128 2 (2002) 190-201
    • (2002) J Eng Mech , vol.128 , Issue.2 , pp. 190-201
    • Sakamoto, S.1    Ghanem, R.2
  • 45
    • 33746346426 scopus 로고    scopus 로고
    • Karhunen-Loève approximation of random fields by generalized fast multipole methods
    • Schwab C., and Todor R.A. Karhunen-Loève approximation of random fields by generalized fast multipole methods. J Comput Phys 217 1 (2006) 100-122
    • (2006) J Comput Phys , vol.217 , Issue.1 , pp. 100-122
    • Schwab, C.1    Todor, R.A.2
  • 46
    • 84955045119 scopus 로고
    • Simulation of multivariate and multidimensional random processes
    • Shinozuka M. Simulation of multivariate and multidimensional random processes. J Acoust Soc Am 49 1 Part 2 (1971) 357-368
    • (1971) J Acoust Soc Am , vol.49 , Issue.1 PART 2 , pp. 357-368
    • Shinozuka, M.1
  • 47
    • 84861979006 scopus 로고
    • Simulation of stochastic processes by spectral representation
    • Shinozuka M., and Deodatis G. Simulation of stochastic processes by spectral representation. App Mech Rev 44 4 (1991) 191-204
    • (1991) App Mech Rev , vol.44 , Issue.4 , pp. 191-204
    • Shinozuka, M.1    Deodatis, G.2
  • 48
    • 0024667228 scopus 로고
    • Stochastic finite element expansion for random media
    • Spanos P.D., and Ghanem R.G. Stochastic finite element expansion for random media. ASCE J Eng Mech 115 5 (1989) 1035-1053
    • (1989) ASCE J Eng Mech , vol.115 , Issue.5 , pp. 1035-1053
    • Spanos, P.D.1    Ghanem, R.G.2
  • 49
    • 41149154555 scopus 로고    scopus 로고
    • Sudret B, Der Kiureghian A. Stochastic finite element methods and reliability: a state-of-the-art report. Tech. Rep. Report No. UCB/SEMM-2000/08, Department of Civil & Environmental Engineering, University of California, Berkley, Institute of Structural Engineering, Mechanics and Materials, 2000.
    • Sudret B, Der Kiureghian A. Stochastic finite element methods and reliability: a state-of-the-art report. Tech. Rep. Report No. UCB/SEMM-2000/08, Department of Civil & Environmental Engineering, University of California, Berkley, Institute of Structural Engineering, Mechanics and Materials, 2000.
  • 51
    • 0020842793 scopus 로고
    • Stochastic finite element analysis of simple beams
    • Vanmarcke E.H., and Grigoriu M. Stochastic finite element analysis of simple beams. J Eng Mech 109 5 (1983) 1203-1214
    • (1983) J Eng Mech , vol.109 , Issue.5 , pp. 1203-1214
    • Vanmarcke, E.H.1    Grigoriu, M.2
  • 52
    • 41149127359 scopus 로고    scopus 로고
    • Vořechovský M. Lomově-mechanické parametry betonu jako vzájemně korelovaná náhodná pole (Fracture-mechanical parameters of concrete modeled by cross correlated random fields). In: Stibor M, editor. Problémy lomové mechaniky II (Problems of Fracture Mechanics II). Brno University of Technology, Academy of Sciences, Institute of Physics of Materials, 2002. p. 84-90 [in Czech].
    • Vořechovský M. Lomově-mechanické parametry betonu jako vzájemně korelovaná náhodná pole (Fracture-mechanical parameters of concrete modeled by cross correlated random fields). In: Stibor M, editor. Problémy lomové mechaniky II (Problems of Fracture Mechanics II). Brno University of Technology, Academy of Sciences, Institute of Physics of Materials, 2002. p. 84-90 [in Czech].
  • 53
    • 33847755921 scopus 로고    scopus 로고
    • Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics
    • Vořechovský M. Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics. Int J Solids Struct 44 9 (2007) 2715-2731
    • (2007) Int J Solids Struct , vol.44 , Issue.9 , pp. 2715-2731
    • Vořechovský, M.1
  • 54
    • 28244443689 scopus 로고    scopus 로고
    • Stochastic modeling of multi-filament yarns: II. Random properties over the length and size effect
    • Vořechovský M., and Chudoba R. Stochastic modeling of multi-filament yarns: II. Random properties over the length and size effect. Int J Solids Struct 43 3-4 (2006) 435-458
    • (2006) Int J Solids Struct , vol.43 , Issue.3-4 , pp. 435-458
    • Vořechovský, M.1    Chudoba, R.2
  • 55
    • 41149175651 scopus 로고    scopus 로고
    • Adaptive probabilistic modeling of localization, failure and size effect of quasi-brittle materials
    • Soares C., Martins J., Rodrigues H., Ambrósio J., Pina C., Soares C., et al. (Eds), National Laboratory of Civil Engineering, Springer, Lisbon, Portugal [(abstract), full papers on CD-ROM]
    • Vořechovský M., Chudoba R., and Jeřábek J. Adaptive probabilistic modeling of localization, failure and size effect of quasi-brittle materials. In: Soares C., Martins J., Rodrigues H., Ambrósio J., Pina C., Soares C., et al. (Eds). III European conference on computational mechanics (ECCM-2006) (2006), National Laboratory of Civil Engineering, Springer, Lisbon, Portugal 286 [(abstract), full papers on CD-ROM]
    • (2006) III European conference on computational mechanics (ECCM-2006) , pp. 286
    • Vořechovský, M.1    Chudoba, R.2    Jeřábek, J.3
  • 56
    • 28244486815 scopus 로고    scopus 로고
    • Correlated random variables in probabilistic simulation
    • Schießl P., Gebbeken N., Keuser M., and Zilch K. (Eds), Millpress, Rotterdam, Munich, Germany
    • Vořechovský M., and Novák D. Correlated random variables in probabilistic simulation. In: Schießl P., Gebbeken N., Keuser M., and Zilch K. (Eds). 4th international PhD symposium in civil engineering vol. 2 (2002), Millpress, Rotterdam, Munich, Germany 410-417
    • (2002) 4th international PhD symposium in civil engineering , vol.2 , pp. 410-417
    • Vořechovský, M.1    Novák, D.2
  • 57
    • 84941623732 scopus 로고    scopus 로고
    • Efficient random fields simulation for stochastic FEM analyses
    • Bathe K.J. (Ed), Elsevier Science Ltd, Oxford, UK, Cambridge, USA
    • Vořechovský M., and Novák D. Efficient random fields simulation for stochastic FEM analyses. In: Bathe K.J. (Ed). 2nd MIT conference on computational fluid and solid mechanics (2003), Elsevier Science Ltd, Oxford, UK, Cambridge, USA 2383-2386
    • (2003) 2nd MIT conference on computational fluid and solid mechanics , pp. 2383-2386
    • Vořechovský, M.1    Novák, D.2
  • 59
    • 33847723794 scopus 로고    scopus 로고
    • Simulation of random fields for stochastic finite element analyses
    • Augusti G., Schuëller G.I., and Ciampoli M. (Eds), Millpress, Rotterdam, Netherlands, Rome, Italy
    • Vořechovský M., and Novák D. Simulation of random fields for stochastic finite element analyses. In: Augusti G., Schuëller G.I., and Ciampoli M. (Eds). ICoSSaR '05 the 9th international conference on structural safety and reliability (2005), Millpress, Rotterdam, Netherlands, Rome, Italy 2545-2552
    • (2005) ICoSSaR '05 the 9th international conference on structural safety and reliability , pp. 2545-2552
    • Vořechovský, M.1    Novák, D.2
  • 60
    • 41149125618 scopus 로고    scopus 로고
    • Vořechovský M, Novák D. Correlation control in small sample Monte Carlo type simulation. Part I: Optimization technique simulated annealing. Probab Eng Mech, in review.
    • Vořechovský M, Novák D. Correlation control in small sample Monte Carlo type simulation. Part I: Optimization technique simulated annealing. Probab Eng Mech, in review.
  • 61
    • 0024048378 scopus 로고
    • Digital generation of non-Gaussian stochastic fields
    • Yamazaki F., and Shinozuka M. Digital generation of non-Gaussian stochastic fields. J Eng Mech 114 7 (1988) 1183-1197
    • (1988) J Eng Mech , vol.114 , Issue.7 , pp. 1183-1197
    • Yamazaki, F.1    Shinozuka, M.2
  • 62
    • 0025376966 scopus 로고
    • Simulation of stochastic fields by statistical preconditioning
    • Yamazaki F., and Shinozuka M. Simulation of stochastic fields by statistical preconditioning. J Eng Mech 116 2 (1990) 268-287
    • (1990) J Eng Mech , vol.116 , Issue.2 , pp. 268-287
    • Yamazaki, F.1    Shinozuka, M.2
  • 63
    • 0028734886 scopus 로고
    • Orthogonal series expansion of random fields in reliability analysis
    • Zhang J., and Ellingwood B. Orthogonal series expansion of random fields in reliability analysis. J Eng Mech 120 12 (1994) 2660-2677
    • (1994) J Eng Mech , vol.120 , Issue.12 , pp. 2660-2677
    • Zhang, J.1    Ellingwood, B.2
  • 64
    • 0029359807 scopus 로고
    • Error measure for reliability studies using reduced variable set
    • Zhang J., and Ellingwood B. Error measure for reliability studies using reduced variable set. J Eng Mech 121 8 (1995) 935-937
    • (1995) J Eng Mech , vol.121 , Issue.8 , pp. 935-937
    • Zhang, J.1    Ellingwood, B.2


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