-
1
-
-
70350407044
-
Random Structures in Physics
-
Jeulin D, Ostoja-Strarzewski M (eds), Springer: Wien, NY
-
Jeulin D. Random Structures in Physics, Jeulin D, Ostoja-Strarzewski M (eds). CISM Courses and Lectures, vol. 430. Springer: Wien, NY, 2001; 221-267.
-
(2001)
CISM Courses and Lectures
, vol.430
, pp. 221-267
-
-
Jeulin, D.1
-
4
-
-
47249089931
-
Materials integrity in microsystems: A framework for a petascale predictive-science-based multiscale modeling and simulation system
-
To AC, Liu WK, Olson GB, Belytschko T, Chen W, Shephard MS, Chung YW, Ghanem R, Voorhees PW, Seidman DN, Wolverton C, Chen JS, Moran B, Freeman AJ, Rong T, Luo X, Lautenschlager E, Challoner AD. Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system. Computational Mechanics 2008; 42(4):485-510.
-
(2008)
Computational Mechanics
, vol.42
, Issue.4
, pp. 485-510
-
-
To, A.C.1
Liu, W.K.2
Olson, G.B.3
Belytschko, T.4
Chen, W.5
Shephard, M.S.6
Chung, Y.W.7
Ghanem, R.8
Voorhees, P.W.9
Seidman, D.N.10
Wolverton, C.11
Chen, J.S.12
Moran, B.13
Freeman, A.J.14
Rong, T.15
Luo, X.16
Lautenschlager, E.17
Challoner, A.D.18
-
5
-
-
47249126848
-
A finite temperature continuum theory based on interatomic potential in crystalline solids
-
To AC, Liu WK, Kopacz A. A finite temperature continuum theory based on interatomic potential in crystalline solids. Computational Mechanics 2008; 42(4):531-541.
-
(2008)
Computational Mechanics
, vol.42
, Issue.4
, pp. 531-541
-
-
To, A.C.1
Liu, W.K.2
Kopacz, A.3
-
7
-
-
1842708892
-
Introduction to computational nano mechanics and materials
-
Liu WK, Karpov EG, Zhang S, Park HS. Introduction to computational nano mechanics and materials. Computer Methods in Applied Mechanics and Engineering 2004; 193(17-20):1529-1578.
-
(2004)
Computer Methods in Applied Mechanics and Engineering
, vol.193
, Issue.17-20
, pp. 1529-1578
-
-
Liu, W.K.1
Karpov, E.G.2
Zhang, S.3
Park, H.S.4
-
11
-
-
48049091179
-
Linking microstructure and properties through a predictive multiresolution continuum
-
McVeigh C, Liu WK. Linking microstructure and properties through a predictive multiresolution continuum. Computer Methods in Applied Mechanics and Engineering 2008; 197(41-42):3268-3290.
-
(2008)
Computer Methods in Applied Mechanics and Engineering
, vol.197
, Issue.41-42
, pp. 3268-3290
-
-
McVeigh, C.1
Liu, W.K.2
-
12
-
-
58149199528
-
Multiresolution modeling of ductile reinforced brittle composites
-
DOI: 10.1016/j.jmps.2008.10.015
-
McVeigh C, Liu WK. Multiresolution modeling of ductile reinforced brittle composites. Journal of Mechanics and Physics of Solids 2008; DOI: 10.1016/j.jmps.2008.10.015.
-
(2008)
Journal of Mechanics and Physics of Solids
-
-
McVeigh, C.1
Liu, W.K.2
-
13
-
-
47349093994
-
Multiple time scale method for atomistic simulations
-
Medyanik SN, Liu WK. Multiple time scale method for atomistic simulations. Computational Mechanics 2008; 42(4):569-577.
-
(2008)
Computational Mechanics
, vol.42
, Issue.4
, pp. 569-577
-
-
Medyanik, S.N.1
Liu, W.K.2
-
14
-
-
30944467079
-
Bridging scale methods for nanomechanics and materials
-
Liu WK, Park HS, Qian D, Karpov EG, Kadowaki H, Wagner GJ. Bridging scale methods for nanomechanics and materials. Computer Methods in Applied Mechanics and Engineering 2006; 195(13-16):1407-1421.
-
(2006)
Computer Methods in Applied Mechanics and Engineering
, vol.195
, Issue.13-16
, pp. 1407-1421
-
-
Liu, W.K.1
Park, H.S.2
Qian, D.3
Karpov, E.G.4
Kadowaki, H.5
Wagner, G.J.6
-
15
-
-
0042858270
-
Coupling of atomistic and continuum simulations using a bridging scale decomposition
-
Wagner GJ, Liu WK. Coupling of atomistic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics 2003; 190(1):249-274.
-
(2003)
Journal of Computational Physics
, vol.190
, Issue.1
, pp. 249-274
-
-
Wagner, G.J.1
Liu, W.K.2
-
16
-
-
33845201975
-
An interactive micro-void shear localization mechanism in high strength steels
-
McVeigh C, Vernerey F, Liu WK, Moran B, Olson GB. An interactive micro-void shear localization mechanism in high strength steels. Journal of the Mechanics and Physics of Solids 2007; 55(2):225-244.
-
(2007)
Journal of the Mechanics and Physics of Solids
, vol.55
, Issue.2
, pp. 225-244
-
-
McVeigh, C.1
Vernerey, F.2
Liu, W.K.3
Moran, B.4
Olson, G.B.5
-
17
-
-
33645153849
-
Prediction of central bursting during axisymmetric cold extrusion of a metal alloy containing particles
-
McVeigh C, Liu WK. Prediction of central bursting during axisymmetric cold extrusion of a metal alloy containing particles. International Journal of Solids and Structures 2006; 43:3087-3105.
-
(2006)
International Journal of Solids and Structures
, vol.43
, pp. 3087-3105
-
-
McVeigh, C.1
Liu, W.K.2
-
25
-
-
33644916379
-
Material spatial randomness: From statistical to representative volume element
-
Ostoja-Strarzewski M. Material spatial randomness: from statistical to representative volume element. Probabilistic Engineering Mechanics 2006; 21:112-132.
-
(2006)
Probabilistic Engineering Mechanics
, vol.21
, pp. 112-132
-
-
Ostoja-Strarzewski, M.1
-
28
-
-
0004314337
-
-
An Essay on Probability on Practice. Springer: Berlin
-
Matheron G. Estimating and Choosing. An Essay on Probability on Practice. Springer: Berlin, 1989.
-
(1989)
Estimating and Choosing
-
-
Matheron, G.1
-
29
-
-
7444233205
-
Effect of a nonuniform distribution of voids on the plastic response of voided materials: A computational and statistical analysis
-
Bilger N, Auslender F, Auslender F, Bornert M, Michel J-C, Moulinec H, Suquet P, Zaoui A. Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis. International Journal of Solids and Structures 2003; 42:517-538.
-
(2003)
International Journal of Solids and Structures
, vol.42
, pp. 517-538
-
-
Bilger, N.1
Auslender, F.2
Auslender, F.3
Bornert, M.4
Michel, J.-C.5
Moulinec, H.6
Suquet, P.7
Zaoui, A.8
-
32
-
-
70350382301
-
-
Baddeley A, Bárny I, Schneider R, Weil W (eds). Springer, Berlin, Heidelberg
-
Weil W. Random Sets (In Particular Boolean Models), Baddeley A, Bárny I, Schneider R, Weil W (eds). Springer: Berlin, Heidelberg, 2004; 185-245.
-
(2004)
Random Sets (In Particular Boolean Models)
, pp. 185-245
-
-
Weil, W.1
-
33
-
-
0032048952
-
A numerical method for computing the overall response of nonlinear composites with complex microstructure
-
Moulinec H, Suquet P. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Computer Methods in Applied Mechanics and Engineering 1997; 157:69-94.
-
(1997)
Computer Methods in Applied Mechanics and Engineering
, vol.157
, pp. 69-94
-
-
Moulinec, H.1
Suquet, P.2
-
34
-
-
6544226089
-
Elastic properties of reinforced solids: Some theoretical principles
-
Hill R. Elastic properties of reinforced solids: some theoretical principles. Journal of the Mechanics and Physics of Solids 1963; 11:357-372.
-
(1963)
Journal of the Mechanics and Physics of Solids
, vol.11
, pp. 357-372
-
-
Hill, R.1
-
35
-
-
0027100591
-
On the homogenization and the simulation of random materials
-
Sab K. On the homogenization and the simulation of random materials. European Journal of Mechanics A/Solids 1992; 11(5):585-607.
-
(1992)
European Journal of Mechanics A/Solids
, vol.11
, Issue.5
, pp. 585-607
-
-
Sab, K.1
-
36
-
-
0000926336
-
Application of variational concepts to size effects in elastic heterogeneous bodies
-
Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. Journal of the Mechanics and Physics of Solids 1990; 30:813-841.
-
(1990)
Journal of the Mechanics and Physics of Solids
, vol.30
, pp. 813-841
-
-
Huet, C.1
-
41
-
-
27744601799
-
Minimal kinematic boundary conditions for simulations of disordered microstructures
-
Mesarovic SD, Padbidri J. Minimal kinematic boundary conditions for simulations of disordered microstructures. Philosophical Magazine 2005; 85:65-78.
-
(2005)
Philosophical Magazine
, vol.85
, pp. 65-78
-
-
Mesarovic, S.D.1
Padbidri, J.2
-
42
-
-
0024304751
-
Microvoid formation during shear deformation of ultrahigh strength steels
-
Cowin JG, Azrin M, Olson GB. Microvoid formation during shear deformation of ultrahigh strength steels. Metallurgical Transactions A 1989; 20A:143-153.
-
(1989)
Metallurgical Transactions A
, vol.20 A
, pp. 143-153
-
-
Cowin, J.G.1
Azrin, M.2
Olson, G.B.3
-
43
-
-
1842736750
-
Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels
-
Hao S, Liu WK, Moran B, Vernerey F, Olson GB. Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. Computer Methods in Applied Mechanics and Engineering 2004; 193:1865-1908.
-
(2004)
Computer Methods in Applied Mechanics and Engineering
, vol.193
, pp. 1865-1908
-
-
Hao, S.1
Liu, W.K.2
Moran, B.3
Vernerey, F.4
Olson, G.B.5
-
44
-
-
0000798009
-
Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
-
Hazanov S, Huet C. Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Journal of the Mechanics and Physics of Solids 1994; 42:1995-2011.
-
(1994)
Journal of the Mechanics and Physics of Solids
, vol.42
, pp. 1995-2011
-
-
Hazanov, S.1
Huet, C.2
-
45
-
-
33845724866
-
-
Vernerey F, Ph.D. Thesis, Department of Mechanical Engineering, Northwestern University, Evanston, IL
-
Vernerey F. Multi-scale continuum theory for microstructured materials. Ph.D. Thesis, Department of Mechanical Engineering, Northwestern University, Evanston, IL, 2006.
-
(2006)
Multi-scale continuum theory for microstructured materials
-
-
-
46
-
-
0031235429
-
Representative volume element size for elastic composites: A numerical study
-
Gusev AA. Representative volume element size for elastic composites: a numerical study. Journal of Mechanics and Physics of Solids 1997; 45:1449-1459.
-
(1997)
Journal of Mechanics and Physics of Solids
, vol.45
, pp. 1449-1459
-
-
Gusev, A.A.1
-
47
-
-
0034326146
-
Cosserat modelling of size effects in the mechanical behavior of polycrystals and multi-phase materials
-
Forest S, Barbe F, Cailletaud G. Cosserat modelling of size effects in the mechanical behavior of polycrystals and multi-phase materials. International Journal of Solids and Structures 2000; 37:7105-7126.
-
(2000)
International Journal of Solids and Structures
, vol.37
, pp. 7105-7126
-
-
Forest, S.1
Barbe, F.2
Cailletaud, G.3
-
48
-
-
0037644851
-
Determination of the size of the representative volume element for random composites: Statistical and numerical approach
-
Kanit T, Forest S, Galliet I, Mounoury V, Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach. International Journal of Solids and Structures 2003; 40:3647-3679.
-
(2003)
International Journal of Solids and Structures
, vol.40
, pp. 3647-3679
-
-
Kanit, T.1
Forest, S.2
Galliet, I.3
Mounoury, V.4
Jeulin, D.5
-
49
-
-
65649152471
-
One the size of the representative element for isotropic elastic polycrystalline copper
-
Springer, Berlin, Heidelberg
-
Houdaigui, Forest S, Gour S, Jeulin D. One the size of the representative element for isotropic elastic polycrystalline copper. IUTAM Symposium on Mechanical Behavior and Micro-mechanics of Nanostructured Materials. Springer: Berlin, Heidelberg, 2007; 171-180.
-
(2007)
IUTAM Symposium on Mechanical Behavior and Micro-mechanics of Nanostructured Materials
, pp. 171-180
-
-
Houdaigui1
Forest, S.2
Gour, S.3
Jeulin, D.4
-
50
-
-
70350429683
-
-
MATERIAUX 2006, Dijon
-
Madi K, Gailliègue S, Forest S, Boussuge M, Lataste E, Jeulin D, Buffière J-Y. Estimating rve sizes for 2d/3d viscoplastic composite materials. MATERIAUX 2006, Dijon, 2006.
-
(2006)
Estimating rve sizes for 2d/3d viscoplastic composite materials
-
-
Madi, K.1
Gailliègue, S.2
Forest, S.3
Boussuge, M.4
Lataste, E.5
Jeulin, D.6
Buffière, J.-Y.7
-
51
-
-
0026065193
-
Ergodicity and integral range
-
Lantuéjoul C. Ergodicity and integral range. Journal of Microscopy 1991; 161:387-403.
-
(1991)
Journal of Microscopy
, vol.161
, pp. 387-403
-
-
Lantuéjoul, C.1
-
52
-
-
40949118937
-
A micromorphic model for the multiple scale failure of heterogeneous materials
-
Vernerey F, Liu WK, Moran B, Olson GB. A micromorphic model for the multiple scale failure of heterogeneous materials. Journal of the Mechanics and Physics of Solids 2008; 4(5):1320-1347.
-
(2008)
Journal of the Mechanics and Physics of Solids
, vol.4
, Issue.5
, pp. 1320-1347
-
-
Vernerey, F.1
Liu, W.K.2
Moran, B.3
Olson, G.B.4
-
54
-
-
84924274968
-
Reproducing kernel particle methods for structural dynamics
-
Liu WK, Jun S, Li S, Ade J, Belytschko T. Reproducing kernel particle methods for structural dynamics. International Journal for Numerical Methods in Engineering 1995; 38:1655-1679.
-
(1995)
International Journal for Numerical Methods in Engineering
, vol.38
, pp. 1655-1679
-
-
Liu, W.K.1
Jun, S.2
Li, S.3
Ade, J.4
Belytschko, T.5
-
55
-
-
0000969263
-
Meshfree and particle methods and their applications
-
Li S, Liu WK. Meshfree and particle methods and their applications. Applied Mechanics Reviews 2002; 55:1-34.
-
(2002)
Applied Mechanics Reviews
, vol.55
, pp. 1-34
-
-
Li, S.1
Liu, W.K.2
-
58
-
-
0026930049
-
On the role of gradients in the localization of deformation and fracture
-
Aifantis EC. On the role of gradients in the localization of deformation and fracture. International Journal of Engineering Science 1992; 30:1279-1299.
-
(1992)
International Journal of Engineering Science
, vol.30
, pp. 1279-1299
-
-
Aifantis, E.C.1
-
59
-
-
70350407834
-
-
Ph.D. Thesis, Department of Mechanical Engineering, Northwestern University, Evanston, IL
-
McVeigh C. Multiresolution analysis of heterogeneous materials. Ph.D. Thesis, Department of Mechanical Engineering, Northwestern University, Evanston, IL, 2007.
-
(2007)
Multiresolution analysis of heterogeneous materials
-
-
McVeigh, C.1
-
60
-
-
77956849479
-
Materials failure by void growth to coalescence
-
Hutchinson JW, Wu T (eds), Academic Press: New York
-
Tvergaard V. Materials failure by void growth to coalescence. In Advances in Applied Mechanics, Hutchinson JW, Wu T (eds), vol. 27. Academic Press: New York, 1990; 83-151.
-
(1990)
Advances in Applied Mechanics
, vol.27
, pp. 83-151
-
-
Tvergaard, V.1
-
61
-
-
0002607207
-
-
Jones N, Weirzbicki T (eds), Elsevier Applied Science: London
-
Bammann DJ, Chiesa ML, Horstemeyer MF, Weingarten LI. In Failure in Ductile Materials Using the Finite Element Methods, Jones N, Weirzbicki T (eds). Elsevier Applied Science: London, 1993; 1-54.
-
(1993)
Failure in Ductile Materials Using the Finite Element Methods
, pp. 1-54
-
-
Bammann, D.J.1
Chiesa, M.L.2
Horstemeyer, M.F.3
Weingarten, L.I.4
-
62
-
-
0035834549
-
Dynamic shear propagation and microstructure of adiabatic shear band
-
Li S, Liu WK, Quian D, GuduruLiu PR, Rosakis AJ. Dynamic shear propagation and microstructure of adiabatic shear band. Computer Methods in Applied Mechanics and Engineering 2001; 191:73-92.
-
(2001)
Computer Methods in Applied Mechanics and Engineering
, vol.191
, pp. 73-92
-
-
Li, S.1
Liu, W.K.2
Quian, D.3
Guduruliu, P.R.4
Rosakis, A.J.5
-
64
-
-
33845797140
-
The 3-d computational modeling of shear-dominated ductile failure in steel. Journal of the Minerals
-
Vernerey F, McVeigh C, Liu WK, Moran B, Tewari D, Parks D, Olson GB. The 3-d computational modeling of shear-dominated ductile failure in steel. Journal of the Minerals, Metals and Materials Society 2007; 58(12):45-51.
-
(2007)
Metals and Materials Society
, vol.58
, Issue.12
, pp. 45-51
-
-
Vernerey, F.1
McVeigh, C.2
Liu, W.K.3
Moran, B.4
Tewari, D.5
Parks, D.6
Olson, G.B.7
-
65
-
-
0035648165
-
Bayesian calibration of computer models. Journal of the Royal Statistical Society
-
Kennedy MC, O'Hagan A. Bayesian calibration of computer models. Journal of the Royal Statistical Society, Series B: Statistical Methodology 2001; 63:425-464.
-
(2001)
Series B: Statistical Methodology
, vol.63
, pp. 425-464
-
-
Kennedy, M.C.1
O'hagan, A.2
-
66
-
-
43049160063
-
A design-driven validation approach using Bayesian prediction models
-
DOI: 10.1115/1.2809439
-
Chen W, Xiong Y, Tsui KL, Wang S. A design-driven validation approach using Bayesian prediction models. Journal of Mechanical Design 2008; 130. DOI: 10.1115/1.2809439.
-
(2008)
Journal of Mechanical Design
, vol.130
-
-
Chen, W.1
Xiong, Y.2
Tsui, K.L.3
Wang, S.4
-
68
-
-
33745191154
-
Error in Monte Carlo, quasi-error in quasi-Monte Carlo
-
Kleiss R, Lazopoulos A. Error in Monte Carlo, quasi-error in quasi-Monte Carlo. Computer Physics Communications 2006; 175:93-115.
-
(2006)
Computer Physics Communications
, vol.175
, pp. 93-115
-
-
Kleiss, R.1
Lazopoulos, A.2
-
70
-
-
0032344452
-
Maximum entropy in the generalized moment problem
-
Frontini M, Tagliani A. Maximum entropy in the generalized moment problem. Journal of Mathematical Physics 1998; 39(12):6706-6714.
-
(1998)
Journal of Mathematical Physics
, vol.39
, Issue.12
, pp. 6706-6714
-
-
Frontini, M.1
Tagliani, A.2
-
73
-
-
48849100535
-
Statistical volume element method for predicting microstructure-constitutive property relations
-
Yin X, Chen W, To AC, McVeigh C, Liu WK. Statistical volume element method for predicting microstructure-constitutive property relations. Computer Methods in Applied Mechanics and Engineering 2008; 197:3516-3529.
-
(2008)
Computer Methods in Applied Mechanics and Engineering
, vol.197
, pp. 3516-3529
-
-
Yin, X.1
Chen, W.2
To, A.C.3
McVeigh, C.4
Liu, W.K.5
-
76
-
-
48849110024
-
Probabilistic equivalence and stochastic model reduction in multiscale analysis
-
Arnst M, Ghanem R. Probabilistic equivalence and stochastic model reduction in multiscale analysis. Computer Methods in Applied Mechanics and Engineering 2008; 197(1-4):3584-3592.
-
(2008)
Computer Methods in Applied Mechanics and Engineering
, vol.197
, Issue.1-4
, pp. 3584-3592
-
-
Arnst, M.1
Ghanem, R.2
-
78
-
-
70350411441
-
-
Forty-ninth AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, IL, U.S.A., April
-
Xiong Y, Chen W. A better understanding of model updating strategies in model validation. Forty-ninth AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, IL, U.S.A., April 2008.
-
(2008)
A better understanding of model updating strategies in model validation
-
-
Xiong, Y.1
Chen, W.2
-
80
-
-
56449100211
-
A comparative study of uncertainty propagation methods for black-box-type problems
-
Lee SH, Chen W. A comparative study of uncertainty propagation methods for black-box-type problems. Structural and Multidisciplinary Optimization 2008; 239-253.
-
(2008)
Structural and Multidisciplinary Optimization
, pp. 239-253
-
-
Lee, S.H.1
Chen, W.2
-
83
-
-
0030109522
-
Three reliability methods for fatigue crack growth
-
Liu WK, Chen YJ, Belytschko T, Lua YJ. Three reliability methods for fatigue crack growth. Engineering Fracture Mechanics 1996; 53(5):733-752.
-
(1996)
Engineering Fracture Mechanics
, vol.53
, Issue.5
, pp. 733-752
-
-
Liu, W.K.1
Chen, Y.J.2
Belytschko, T.3
Lua, Y.J.4
-
84
-
-
0028388229
-
Algorithm 726; orthpol-package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
-
Gautschi W. Algorithm 726; orthpol-package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Transactions on Mathematical Software 1994; 20:21-62.
-
(1994)
ACM Transactions on Mathematical Software
, vol.20
, pp. 21-62
-
-
Gautschi, W.1
-
85
-
-
16244409214
-
Physical systems with random uncertainties: Chaos representations with arbitrary probability measure
-
Soize C, Ghanem R. Physical systems with random uncertainties: chaos representations with arbitrary probability measure. SIAM Journal on Scientific Computing 2004; 26(2):395-410.
-
(2004)
SIAM Journal on Scientific Computing
, vol.26
, Issue.2
, pp. 395-410
-
-
Soize, C.1
Ghanem, R.2
-
86
-
-
33749326978
-
Multi-element generalized polynomial chaos for arbitrary probability measures
-
Wan X, Karniadakis GE. Multi-element generalized polynomial chaos for arbitrary probability measures. SIAM Journal on Scientific Computing 2006; 28:901-928.
-
(2006)
SIAM Journal on Scientific Computing
, vol.28
, pp. 901-928
-
-
Wan, X.1
Karniadakis, G.E.2
-
88
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
Xiu D, Karniadakis GE. Modeling uncertainty in flow simulations via generalized polynomial chaos. Journal of Computational Physics 2003; 187:137-167.
-
(2003)
Journal of Computational Physics
, vol.187
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.E.2
-
89
-
-
34250777758
-
A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations
-
Reno S (ed.), Nevada, U.S.A., 9-12 January, AIAA Paper 891
-
Hosder S, Walters RW, Perez R. A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations. In The 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno S (ed.), Nevada, U.S.A., 9-12 January 2006. AIAA Paper 891.
-
(2006)
The 44th AIAA Aerospace Sciences Meeting and Exhibit
-
-
Hosder, S.1
Walters, R.W.2
Perez, R.3
-
90
-
-
33846339807
-
A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes
-
Acharjee S, Zabaras N. A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes. Computers and Structures 2007; 85(5-6):244-254.
-
(2007)
Computers and Structures
, vol.85
, Issue.5-6
, pp. 244-254
-
-
Acharjee, S.1
Zabaras, N.2
-
92
-
-
0001228444
-
Multivariate distribution models with prescribed marginals and covariances
-
Liu PL, Kiureghian AD. Multivariate distribution models with prescribed marginals and covariances. Probabilistic Engineering Mechanics 1986; 1(2):105-112.
-
(1986)
Probabilistic Engineering Mechanics
, vol.1
, Issue.2
, pp. 105-112
-
-
Liu, P.L.1
Kiureghian, A.D.2
-
94
-
-
3042553776
-
Polynomial chaos expansion with latin hypercube sampling for estimating response variability
-
Choi SK, Grandhi RV, Canfield RA, Pettit CL. Polynomial chaos expansion with latin hypercube sampling for estimating response variability. AIAA Journal 2004; 42:1191-1198.
-
(2004)
AIAA Journal
, vol.42
, pp. 1191-1198
-
-
Choi, S.K.1
Grandhi, R.V.2
Canfield, R.A.3
Pettit, C.L.4
-
95
-
-
0242440688
-
Numerical integration using sparse grids
-
Gerstner T, Griebel M. Numerical integration using sparse grids. Numerical Algorithms 1998; 18:209-232.
-
(1998)
Numerical Algorithms
, vol.18
, pp. 209-232
-
-
Gerstner, T.1
Griebel, M.2
-
96
-
-
0004245694
-
-
Dover Publications: New York
-
Abramowitz M, Stegun IA. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables. Dover Publications: New York, 1965.
-
(1965)
Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
98
-
-
70350415589
-
-
Forty-ninth AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, IL, U.S.A., April
-
Eldred MS, Webster CG, Constantine PG. Evaluation of non-intrusive approaches for Wiener-Askey generalized polynomial chaos. Forty-ninth AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, IL, U.S.A., April 2008.
-
(2008)
Evaluation of non-intrusive approaches for Wiener-Askey generalized polynomial chaos
-
-
Eldred, M.S.1
Webster, C.G.2
Constantine, P.G.3
-
99
-
-
0141991028
-
Dimension-adaptive tensor-product quadrature
-
Gerstner T, Griebel M. Dimension-adaptive tensor-product quadrature. Computing 2003; 71:65-87.
-
(2003)
Computing
, vol.71
, pp. 65-87
-
-
Gerstner, T.1
Griebel, M.2
|