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Volumn 85, Issue 5-6, 2007, Pages 244-254

A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes

Author keywords

Deformation processes; Stochastic Galerkin methods; Stochastic modeling; Uncertainty

Indexed keywords

BOUNDARY CONDITIONS; DEFORMATION; GALERKIN METHODS; LEGACY SYSTEMS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES;

EID: 33846339807     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2006.10.004     Document Type: Article
Times cited : (73)

References (28)
  • 1
    • 0038115617 scopus 로고    scopus 로고
    • Inelastic deformation processes with random parameters - methods of analysis and design
    • Doltsinis I., and Kang Z. Inelastic deformation processes with random parameters - methods of analysis and design. Comput Methods Appl Mech Eng 192 (2003) 2405-2423
    • (2003) Comput Methods Appl Mech Eng , vol.192 , pp. 2405-2423
    • Doltsinis, I.1    Kang, Z.2
  • 2
    • 33644589020 scopus 로고    scopus 로고
    • Perturbation-based stochastic FE analysis and robust design of inelastic deformation processes
    • Doltsinis I. Perturbation-based stochastic FE analysis and robust design of inelastic deformation processes. Comput Methods Appl Mech Eng 195 (2006) 2231-2251
    • (2006) Comput Methods Appl Mech Eng , vol.195 , pp. 2231-2251
    • Doltsinis, I.1
  • 3
    • 0036467544 scopus 로고    scopus 로고
    • Stochastic equations of rigid-thermo-viscoplasticity in metal forming process
    • Grzywinski M., and Sluzalec A. Stochastic equations of rigid-thermo-viscoplasticity in metal forming process. Int J Eng Sci 40 (2002) 367-383
    • (2002) Int J Eng Sci , vol.40 , pp. 367-383
    • Grzywinski, M.1    Sluzalec, A.2
  • 4
    • 0033705241 scopus 로고    scopus 로고
    • Simulation of stochastic metal-forming process for rigid-viscoplastic material
    • Sluzalec A. Simulation of stochastic metal-forming process for rigid-viscoplastic material. Int J Mech Sci 42 (2000) 1935-1946
    • (2000) Int J Mech Sci , vol.42 , pp. 1935-1946
    • Sluzalec, A.1
  • 5
    • 2342451392 scopus 로고    scopus 로고
    • Response surface method for probabilistic assessment of metal forming failures
    • Kleiber M., Knabel J., and Rojek J. Response surface method for probabilistic assessment of metal forming failures. Int J Numer Methods Eng 60 (2004) 51-67
    • (2004) Int J Numer Methods Eng , vol.60 , pp. 51-67
    • Kleiber, M.1    Knabel, J.2    Rojek, J.3
  • 6
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • Xiu D., and Karniadakis G.E. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J Sci Comput 24 (2002) 619-644
    • (2002) SIAM J Sci Comput , vol.24 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.E.2
  • 7
    • 33644607578 scopus 로고    scopus 로고
    • Uncertainty propagation in finite deformations - a spectral stochastic Lagrangian approach
    • Acharjee S., and Zabaras N. Uncertainty propagation in finite deformations - a spectral stochastic Lagrangian approach. Comput Methods Appl Mech Eng 195 (2006) 2289-2312
    • (2006) Comput Methods Appl Mech Eng , vol.195 , pp. 2289-2312
    • Acharjee, S.1    Zabaras, N.2
  • 8
    • 0031392891 scopus 로고    scopus 로고
    • An efficient method for parametric uncertainty analysis of numerical geophysical model
    • Tatang M.A., Pan W.W., Prinn R.G., and McRae G.J. An efficient method for parametric uncertainty analysis of numerical geophysical model. J Geophys Res - Atmos D18 (1997) 21925-21932
    • (1997) J Geophys Res - Atmos , vol.D18 , pp. 21925-21932
    • Tatang, M.A.1    Pan, W.W.2    Prinn, R.G.3    McRae, G.J.4
  • 9
    • 84897741574 scopus 로고    scopus 로고
    • Mathelin L, Hussaini MY, Zang TA, Bataille F. Uncertainty propagation for turbulent compressible flow in quasi-1d nozzle using stochastic collocation method. In: Proceedings of the 16th AIAA computational fluid dynamics conference, Orlando (FL) 2003.
  • 10
    • 33646577797 scopus 로고    scopus 로고
    • High-order collocation methods for differential equations with random inputs
    • Xiu D., and Hestaven J.S. High-order collocation methods for differential equations with random inputs. SISC 27 (2006) 1118-1139
    • (2006) SISC , vol.27 , pp. 1118-1139
    • Xiu, D.1    Hestaven, J.S.2
  • 11
    • 0037299084 scopus 로고    scopus 로고
    • Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection
    • Reagan M.T., Najm H.N., Ghanem R.G., and Knio O.M. Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection. Combust Flame 132 (2003) 545-555
    • (2003) Combust Flame , vol.132 , pp. 545-555
    • Reagan, M.T.1    Najm, H.N.2    Ghanem, R.G.3    Knio, O.M.4
  • 12
    • 0035964634 scopus 로고    scopus 로고
    • Solution of stochastic partial differential equations using Galerkin finite element techniques
    • Deb M.K., Babuska I.M., and Oden J.T. Solution of stochastic partial differential equations using Galerkin finite element techniques. Comput Methods Appl Mech Eng 190 (2001) 6259-6372
    • (2001) Comput Methods Appl Mech Eng , vol.190 , pp. 6259-6372
    • Deb, M.K.1    Babuska, I.M.2    Oden, J.T.3
  • 13
    • 0037356726 scopus 로고    scopus 로고
    • Solving stochastic partial differential equations based on the experimental data
    • Babuska I., Liu K.-M., and Tempone R. Solving stochastic partial differential equations based on the experimental data. Math Models Methods Appl Sci 13 (2003) 415-444
    • (2003) Math Models Methods Appl Sci , vol.13 , pp. 415-444
    • Babuska, I.1    Liu, K.-M.2    Tempone, R.3
  • 14
    • 13844314882 scopus 로고    scopus 로고
    • Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
    • Babuska I., Tempone R., and Zouraris G. Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Comput Methods Appl Mech Eng 194 (2005) 1251-1294
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 1251-1294
    • Babuska, I.1    Tempone, R.2    Zouraris, G.3
  • 15
    • 13844319204 scopus 로고    scopus 로고
    • Galerkin finite element approximations of stochastic elliptic partial differential equations
    • Babuska I., Tempone R., and Zouraris G. Galerkin finite element approximations of stochastic elliptic partial differential equations. SIAM J Numer Anal 42 (2004) 800-825
    • (2004) SIAM J Numer Anal , vol.42 , pp. 800-825
    • Babuska, I.1    Tempone, R.2    Zouraris, G.3
  • 16
    • 33846337803 scopus 로고    scopus 로고
    • Babuska I, Tempone R, Nobile F. A stochastic collocation method for elliptic partial differential equations with random input data, ICES report, The University of Texas at Austin, 2005.
  • 17
    • 0037611041 scopus 로고    scopus 로고
    • A continuum sensitivity method for the design of multi-stage metal forming processes
    • Zabaras N., Ganapathysubramanian S., and Li Q. A continuum sensitivity method for the design of multi-stage metal forming processes. Int J Mech Sci 45 (2003) 325-358
    • (2003) Int J Mech Sci , vol.45 , pp. 325-358
    • Zabaras, N.1    Ganapathysubramanian, S.2    Li, Q.3
  • 18
    • 0037203075 scopus 로고    scopus 로고
    • A continuum sensitivity method for finite thermo-inelastic deformations with applications to the design of hot forming processes
    • Ganapathysubramanian S., and Zabaras N. A continuum sensitivity method for finite thermo-inelastic deformations with applications to the design of hot forming processes. Int J Numer Methods Eng 55 (2002) 1391-1437
    • (2002) Int J Numer Methods Eng , vol.55 , pp. 1391-1437
    • Ganapathysubramanian, S.1    Zabaras, N.2
  • 19
    • 0033588433 scopus 로고    scopus 로고
    • A computational model for the finite element analysis of thermoplasticity with ductile damage at finite strains
    • Srikanth A., and Zabaras N. A computational model for the finite element analysis of thermoplasticity with ductile damage at finite strains. Int J Numer Methods Eng 45 (1999) 1569-1605
    • (1999) Int J Numer Methods Eng , vol.45 , pp. 1569-1605
    • Srikanth, A.1    Zabaras, N.2
  • 20
    • 0000301907 scopus 로고
    • Remarks on a multivariate transformation
    • Rosenblatt M. Remarks on a multivariate transformation. Ann Math Stat 23 (1952) 470-472
    • (1952) Ann Math Stat , vol.23 , pp. 470-472
    • Rosenblatt, M.1
  • 21
    • 1142304457 scopus 로고    scopus 로고
    • On the accuracy of the polynomial chaos approximation
    • Field R.V., and Grigoriu M. On the accuracy of the polynomial chaos approximation. Prob Eng Mech 19 (2004) 65-80
    • (2004) Prob Eng Mech , vol.19 , pp. 65-80
    • Field, R.V.1    Grigoriu, M.2
  • 22
    • 19044387138 scopus 로고    scopus 로고
    • Using stochastic analysis to capture unstable equilibrium in natural convection
    • Asokan B.N.V., and Zabaras N. Using stochastic analysis to capture unstable equilibrium in natural convection. J Comput Phys 208 (2005) 134-153
    • (2005) J Comput Phys , vol.208 , pp. 134-153
    • Asokan, B.N.V.1    Zabaras, N.2
  • 23
    • 0003244577 scopus 로고    scopus 로고
    • Computational partial differential equations: numerical methods and diffpack programming
    • Springer, New York
    • Langtangen H.P. Computational partial differential equations: numerical methods and diffpack programming. Lecture notes in computational science and engineering vol. 2 (1999), Springer, New York
    • (1999) Lecture notes in computational science and engineering , vol.2
    • Langtangen, H.P.1
  • 27
    • 0024858446 scopus 로고
    • An internal variable constitutive model for hot working of metals
    • Brown S.B., Kim K.H., and Anand L. An internal variable constitutive model for hot working of metals. Int J Plast 5 (1989) 95-130
    • (1989) Int J Plast , vol.5 , pp. 95-130
    • Brown, S.B.1    Kim, K.H.2    Anand, L.3
  • 28
    • 33846376837 scopus 로고    scopus 로고
    • Keese A, Matthies HG. Numerical methods and Smolyak quadrature for nonlinear stochastic partial differential equations. Technical report, Institute of Scientific Computing, Technical University Braunschweig Brunswick, Germany, 2003.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.