Stochastic simulation of non-Gaussian/non-stationary properties in a functionally graded plate

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 12-16, 2005, Pages 1675-1692

  Ferrante, F J ^a   Graham Brady, L L ^a  

^a Johns Hopkins University   (United States)

Author keywords

Composite mechanics; Functionally graded materials; Micromechanics; Non Gaussian random process; Non stationary random process; Stochastic simulation

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITE MICROMECHANICS; COMPUTER SIMULATION; PLATES (STRUCTURAL COMPONENTS); POROSITY; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SAFETY FACTOR; STRUCTURAL ANALYSIS; THERMAL EFFECTS; THERMAL STRESS; VOLUME FRACTION;

FUNCTIONALLY GRADED PLATES; GAUSSIAN PROCESSES; STOCHASTIC SIMULATION; THERMAL BOUNDARY CONDITIONS;

FUNCTIONALLY GRADED MATERIALS;

COMPOSITE; FUNCTIONALLY-GRADED MATERIAL; STOCHASTIC METHOD;

EID: 13844305932     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.03.020     Document Type: Article

References (29)

1. J. Aboudi M. Pindera A. Arnold Thermoelastic theory for the response of materials functionally graded in two directions Int. J. Solids Struct. 33 7 1996 931-966
2. J. Bendat A. Piersol Random Data Analysis and Measurement Procedures 2000 John Wiley & Sons New York, NY, USA
3. M.B. Bever P.E. Duwez Gradients in composite materials Mater. Sci. Engrg. 10 1972 1-8
4. V. Buryachenko F. Rammerstorfer Local effective thermoelastic properties of graded random structure matrix composites Arch. Appl. Mech. 71 4-5 2001 249-272
5. V. Cannillo W.C. Carter Computation and simulation of reliability parameters and their variations in heterogeneous materials Acta Mater. 48 13 2000 3593-3605
6. G. Deodatis R.C. Micaletti Simulation of highly skewed non-Gaussian stochastic processes J. Engrg. Mech. 127 12 2001 1284-1295
7. Z. Fan P. Tsakiropoulos A.P. Miodownik A generalized law of mixtures J. Mater. Sci. 29 1 1994 141-150
8. L.L. Graham K. Gurley F. Masters Non-Gaussian simulation of local material properties based on a moving-window technique Probabilist. Engrg. Mech. 18 3 2003 223-234
9. M. Grigoriu On the spectral representation method in simulation Probabilist. Engrg. Mech. 8 2 1993 75-90
10. M. Grigoriu Applied Non-Gaussian Processes 1995 Prentice Hall Englewood Cliffs, NJ, USA
11. K. Gurley A. Kareem M. Tognarelli Simulation of a class of non-normal random processes Int. J. Non-Linear Mech. 31 5 1996 601-617
12. D. Hasselman G Youngblood Enhanced thermal stress resistance of structural ceramics with thermal conductivity J. Am. Ceram. Soc. 61 1-2 1977 49-52
13. B. Ilschner Processing-microstructure-properties relationships in graded materials J. Mech. Phys. Solids 44 5 1996 647-656
14. Y. Jung S. Choi C. Oh Residual stress and thermal properties of zirconia/metal (nickel, stainless steel 304) functionally graded materials fabricated by hot pressing J. Mater. Sci. 32 14 1995 3841-3850
15. W.Y. Lee D.P. Stinton C. Berndt F. Erdogan Y. Lee Z. Mutasim Concept of functionally graded materials for advanced thermal coating applications J. Am. Ceram. Soc. 79 12 1996 3003-3009
16. A. Markworth K. Ramesh W. Parks Jr. Modelling studies applied to functionally graded materials J. Mater. Sci. 30 9 1995 2183-2193
17. T. Mori K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall. 21 5 1973 571-574
18. J.C. Nadeau M. Ferrari Microstructural optimization of a functionally graded transversely isotropic layer Mech. Mater. 31 7 1999 637-651
19. Y. Obata N. Noda Optimum material design for functionally gradient plate Arch. Appl. Mech. 66 8 1996 581-589
20. R. Popescu G. Deodatis J.H. Prevost Simulation of homogeneous nonGaussian stochastic vector fields Probabilist. Engrg. Mech. 13 1 1998 1-13
21. A. Reuss Berechnung der flieβgrenze von mischkristallen auf grund der plasticitätsbedingung für einkristalle Z. Angew. Math. Mech. 9 1929 49-58
22. G. Rogers Y. Mayhew Thermodynamic and Transport Properties of Fluids 1992 Blackwell Publishers Oxford, UK
23. S. Sakamoto R. Ghanem Simulation of multi-dimensional non-gaussian non-stationary random fields Probabilist. Engrg. Mech. 17 2 2002 167-176
24. M. Shinozuka Simulation of multivariate and multidimensional random processes J. Acoust. Soc. Am. 49 1 1971 357-368
25. M. Shinozuka G. Deodatis Simulation of multi-dimensional Gaussian stochastic fields by spectral representation Appl. Mech. Rev. 49 1 1996 29-53
26. S. Suresh A. Mortensen Fundamentals of Functionally Graded Materials 1998 IOM Communications Ltd. Cambridge, UK
27. W. Voight Luhrbuch Krystalphys. 1928 Teubner Leipzig pp. 954-964
28. F. Yamazaki M. Shinozuka Digital generation of non-Gaussian stochastic fields J. Engrg. Mech. 114 7 1988 1183-1197
29. F. Yamazaki M. Shinozuka Simulation of stochastic fields by statistical preconditioning J. Engrg. Mech. 116 2 1990 268-287