Non-Gaussian simulation of local material properties based on a moving-window technique

Probabilistic Engineering Mechanics

Volumn 18, Issue 3, 2003, Pages 223-234

  Graham, L L ^a   Gurley, K ^b   Masters, F ^b  

^a Whiting School of Engineering   (United States)

^b University of Florida   (United States)

Author keywords

Micromechanics; Moving window analysis; Non Gaussian simulation; Random fields; Random media; Stochastic simulation

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; MICROSTRUCTURE; MONTE CARLO METHODS; RANDOM PROCESSES; STATISTICAL METHODS;

RANDOM FIELDS;

COMPOSITE MICROMECHANICS;

EID: 0042563235     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-8920(03)00026-2     Document Type: Article

References (32)

1. Everett R.K., Chu J.H. Modeling of non-uniform composite microstructures. J Compos Mater. 27:(11):1993;1128.
2. Frantziskonis G.N. Stochastic modeling of heterogeneous materials - a process for the analysis and evaluation of alternative formulations. Mech Mater. 27:1998;165-175.
3. Gibiansky L.V., Torquato S. Geometrical-parameter bounds on the effective moduli of composites. J Mech Phys Solids. 43:1995;1587-1613.
4. Rowatt J.D., Spanos P.D. Markov chain models for life prediction of composite laminates. Struct Saf. 20:1998;117-135.
5. Mullen R.L., Ballarini R., Yin Y., Heuer A.H. Monte Carlo simulation of effective elastic constants of polycrystalline thin films. Acta Mater. 45:(6):1997;2247-2255.
6. Povirk G.L. Incorporation of microstructural information into models of two-phase materials. Acta Metall Mater. 43:(8):1995;3199-3206.
7. Roberts A.P., Knackstedt M.A. Structure-property correlations in model composite materials. Physics A. 54:1996;2313.
8. Roberts A.P., Teubner M. Transport properties of heterogeneous materials derived from Gaussian random fields: bounds and simulation. Phys Rev E. 51:(5):1995;4141-4154.
9. Papathanasiou T.D., Lee P.D. Morphological effects on the transverse permeability of arrays of aligned fibers. Polym Compos. 18:(2):1997;242-253.
10. Baxter S.C., Graham L.L. Characterization of random composites using a moving window technique. ASCE J Engng Mech. 126:(4):2000;389-404.
11. Graham L.L., Siragy E.F., Baxter S.C. Analysis of heterogeneous composite materials using moving-window techniques. ASCE J Engng Mech. 2003;. in press.
12. Huyse L, Maes MA. Random field modeling of elastic properties using homogenization. Submitted for publication. 2003.
13. Lu B., Torquato S. Local volume fraction fluctuations in heterogeneous media. J Chem Phys. 93:(5):1990;3452-3459.
14. Ostoja-Starzewski M. Micromechanics as a basis of continuum random fields. Appl Mech Rev. 47:(1):1994;S221-S230.
15. Ostoja-Starzewski M., Wang X. Stochastic finite elements as a bridge between random material microstructure and global response. Comput Meth Appl Mech Engng. 168:1999;35-49.
16. Tang W.H., Gilbert R.B. Statistics of spatial average in a random two-state medium. Struct Saf. 6:1989;271-282.
17. Graham L.L., Baxter S.C. Simulation of local material properties based on moving-window GMC. Probab Engng Mech. 16:(4):2001;295-306.
18. Gurley K., Kareem A. Analysis, interpretation, modeling and simulation of unsteady wind and pressure data. J Wind Engng Ind Aerodyn. 69-71:1997;657-669.
19. Sobczyk K., Trebicki J. Maximum entropy principle in stochastic dynamics. Probab Engng Mech. 5:(3):1990;102-110.
20. Deodatis G., Micaletti R.C. Simulation of highly skewed non-Gaussian stochastic processes. ASCE J Engng Mech. 127:(12):2001;1284-1295.
21. Grigoriu M. Applied non-Gaussian processes. 1995;Prentice-Hall, Englewood Cliffs, NJ.
22. Grigoriu M. Simulation for stationary non-Gaussian translation processes. ASCE J Engng Mech. 124:(2):1998;121-126.
23. Gurley K., Kareem A. Simulation of correlated non-Gaussian pressure fields. Meccanica. 33:(3):1998;309-317.
24. Gurley K., Kareem A. Simulation of non-Gaussian processes. Spanos P.D. Proceedings of the Third International Conference on Computational Stochastic Mechanics. 1999;11-20 Balkema, Rotterdam.
25. Yamazaki F., Shinozuka M. Digital simulation of non-Gaussian stochastic fields. ASCE J Engng Mech. 114:(7):1988;1183-1197.
26. Masters F, Gurley K. Wind load simulation: a new algorithm and comparative study. First Americas Conference on Wind Engineering, Clemson University. June 4-6 2001.
27. Shinozuka M., Deodatis G. Simulation of multi-dimensional Gaussian stochastic fields by spectral representation. ASME Appl Mech Rev. 49:(1):1996;29-53.
28. Deodatis G., Graham L.L. Uncertainty modeling in finite element, fatigue and stability of structures. Uncertainty modeling in finite element, fatigue and stability of structures. 1997;World Scientific, Singapore. p. 71-116.
29. Ghanem R.G., Spanos P.D. Stochastic finite elements: a spectral approach. 1991;Springer, Berlin.
30. Spanos P.D., Zeldin B.A. Monte Carlo treatment of random fields: a broad perspective. ASME Appl Mech Rev. 51:(3):1998;219-237.
31. Vanmarcke E., Shinozuka M., Nakagiri S., Schueller G., Grigoriu M. Random fields and stochastic finite elements. Struct Saf. 3:(3 and 4):1986;143-166.
32. Hughes T.J.R. The finite element method. 1987;Prentice-Hall, Englewood Cliffs, NJ.