메뉴 건너뛰기




Volumn , Issue , 2010, Pages 165-204

A Mixed Optimization Approach for Parameter Identification Applied to the Gurson Damage Model

Author keywords

Elastic plastic; Gradient plasticity; Gradient based algorithm; Gurson's model; Newton Raphson method; Numerical simulation

Indexed keywords


EID: 84887190418     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527632312.ch5     Document Type: Chapter
Times cited : (7)

References (80)
  • 1
    • 0003471247 scopus 로고
    • Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth and coalescence
    • PhD Dissertation, Brown University
    • Gurson, A.L. (1975) Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth and coalescence. PhD Dissertation, Brown University.
    • (1975)
    • Gurson, A.L.1
  • 2
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth: part I-yield criteria and flow rules for porous ductile media
    • Gurson, A.L. (1977)Continuum theory of ductile rupture by void nucleation and growth: part I-yield criteria and flow rules for porous ductile media. ASME Journal of Engineering Materials and Technology,99, 2-15.
    • (1977) ASME Journal of Engineering Materials and Technology , vol.99 , pp. 2-15
    • Gurson, A.L.1
  • 3
    • 0033508684 scopus 로고    scopus 로고
    • Rupture time under creep conditions
    • Kachanov, L.M. (1999) Rupture time under creep conditions. International Journal of Fracture, 97 (1-4), 11-18.
    • (1999) International Journal of Fracture , vol.97 , Issue.1-4 , pp. 11-18
    • Kachanov, L.M.1
  • 4
    • 0002699969 scopus 로고
    • On the time to rupture under creep conditions. Izvestia Akademii Nauk SSSR
    • in Russian
    • Kachanov, L.M. (1958) On the time to rupture under creep conditions. Izvestia Akademii Nauk SSSR, Otdelenie Tekhnicheskich Nauk, 8, 26-31 (in Russian).
    • (1958) Otdelenie Tekhnicheskich Nauk , vol.8 , pp. 26-31
    • Kachanov, L.M.1
  • 5
    • 0000428440 scopus 로고
    • Soil mechanics and plastic analysis for limit design
    • Drucker, D.C. and Prager, W. (1952)Soil mechanics and plastic analysis for limit design. Quarterly of Applied Mathematics,10 (2), 157-165.
    • (1952) Quarterly of Applied Mathematics , vol.10 , Issue.2 , pp. 157-165
    • Drucker, D.C.1    Prager, W.2
  • 6
    • 0019602346 scopus 로고
    • Influence of voids on shear band instabilities under plane strain conditions
    • Tvergaard, V. (1981)Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture,17, 389-407.
    • (1981) International Journal of Fracture , vol.17 , pp. 389-407
    • Tvergaard, V.1
  • 7
    • 0020113017 scopus 로고
    • On localization in ductile materials containing spherical voids
    • Tvergaard, V. (1982)On localization in ductile materials containing spherical voids. International Journal of Fracture,18, 237-252.
    • (1982) International Journal of Fracture , vol.18 , pp. 237-252
    • Tvergaard, V.1
  • 8
    • 0022080567 scopus 로고
    • A threedimensional model for ductile fracture by the growth and coalescence of microvoids
    • Thomason, P.F. (1985)A threedimensional model for ductile fracture by the growth and coalescence of microvoids. Acta Metallurgica,33 (6), 1087-1095.
    • (1985) Acta Metallurgica , vol.33 , Issue.6 , pp. 1087-1095
    • Thomason, P.F.1
  • 11
    • 0020006513 scopus 로고
    • Material failure by void coalescence in localized shear bands
    • Tvergaard, V. (1982)Material failure by void coalescence in localized shear bands. International Journal of Solids and Structures,18 (8), 659-672.
    • (1982) International Journal of Solids and Structures , vol.18 , Issue.8 , pp. 659-672
    • Tvergaard, V.1
  • 12
    • 0021132424 scopus 로고
    • Analysis of the cup-cone fracture in a round tensile bar
    • Tvergaard, V. and Needleman, A. (1984)Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica,32 (1), 157-169.
    • (1984) Acta Metallurgica , vol.32 , Issue.1 , pp. 157-169
    • Tvergaard, V.1    Needleman, A.2
  • 13
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusion
    • Mori, T. and Tanaka, K. (1973)Average stress in matrix and average elastic energy of materials with misfitting inclusion. Acta Metallurgica,21, 571-579.
    • (1973) Acta Metallurgica , vol.21 , pp. 571-579
    • Mori, T.1    Tanaka, K.2
  • 14
    • 20444488888 scopus 로고
    • The elastic constants of a solid containing spherical holes
    • Mackenzie, J.K. (1959) The elastic constants of a solid containing spherical holes. Procedures of Physics Society, 63B, 2-11.
    • (1959) Procedures of Physics Society , vol.63 B , pp. 2-11
    • Mackenzie, J.K.1
  • 15
    • 0019553001 scopus 로고
    • Dynamic fracture and spallation in ductile solids
    • Johnson, J.N. (1981)Dynamic fracture and spallation in ductile solids. Journal of Applied Physics,52, 2812-2825.
    • (1981) Journal of Applied Physics , vol.52 , pp. 2812-2825
    • Johnson, J.N.1
  • 16
    • 0022208448 scopus 로고
    • Internal state variable description of dynamic fracture of ductile solids
    • Perzyna, P. (1986)Internal state variable description of dynamic fracture of ductile solids. International Journal of Solids and Structures,22 (7), 797-818.
    • (1986) International Journal of Solids and Structures , vol.22 , Issue.7 , pp. 797-818
    • Perzyna, P.1
  • 17
    • 0030143737 scopus 로고    scopus 로고
    • A sensitivity analysis of material parameters for the Gurson constitutive model
    • Zhang, Z.L. (1996)A sensitivity analysis of material parameters for the Gurson constitutive model. Fatigue and Fracture of Engineering Materials and Structures,19 (5), 561-570.
    • (1996) Fatigue and Fracture of Engineering Materials and Structures , vol.19 , Issue.5 , pp. 561-570
    • Zhang, Z.L.1
  • 18
    • 0020166911 scopus 로고
    • Ductile frature by cavity nucleation between larger voids
    • Tvergaard, V. (1982)Ductile frature by cavity nucleation between larger voids. Journal of Mechanics and Physics of Solids,30 (4), 265-286.
    • (1982) Journal of Mechanics and Physics of Solids , vol.30 , Issue.4 , pp. 265-286
    • Tvergaard, V.1
  • 19
    • 84859145914 scopus 로고    scopus 로고
    • Modélisation numérique du comportement irréversible des métaux ductiles soumis ä grandes déformations avec endommagement
    • PhD Dissertation, Université de Liëge, Belgium (in french
    • Stainier, L. (1996) Modélisation numérique du comportement irréversible des métaux ductiles soumis adie; grandes déformations avec endommagement. PhD Dissertation, Université de Liëge, Belgium (in french).
    • (1996)
    • Stainier, L.1
  • 20
  • 23
    • 0346331509 scopus 로고    scopus 로고
    • Growth and coalescence of non-spherical voids in metals deformed at elevated temperature
    • Klöcker, H. and Tvergaard, V. (2003)Growth and coalescence of non-spherical voids in metals deformed at elevated temperature. International Journal of Mechanical Sciences,45, 1283-1308.
    • (2003) International Journal of Mechanical Sciences , vol.45 , pp. 1283-1308
    • Klöcker, H.1    Tvergaard, V.2
  • 24
    • 0028194493 scopus 로고
    • A finite-element work-hardening plasticity model of the uniaxial compression and subsequent failure of porous cylinders including effects of void nucleation and growth - part 1: plastic flow and damage
    • Lee, J.H. and Zhang, Y. (1994) A finite-element work-hardening plasticity model of the uniaxial compression and subsequent failure of porous cylinders including effects of void nucleation and growth - part 1: plastic flow and damage. ASME Journal of Engineering Materials and Technology, 116, 69-79.
    • (1994) ASME Journal of Engineering Materials and Technology , vol.116 , pp. 69-79
    • Lee, J.H.1    Zhang, Y.2
  • 25
    • 0037209878 scopus 로고    scopus 로고
    • An extension of the Green and Gurson models to kinematic hardening
    • Besson, J. and Guillemer-Neel, C. (2003)An extension of the Green and Gurson models to kinematic hardening. Mechanics of Materials,35, 1-18.
    • (2003) Mechanics of Materials , vol.35 , pp. 1-18
    • Besson, J.1    Guillemer-neel, C.2
  • 26
    • 7544238353 scopus 로고    scopus 로고
    • Numerical modeling of P/M steel bars subjected to fatigue loading using an extended Gurson model
    • Cedergren, J., Melin, S., and Lidström, P. (2004)Numerical modeling of P/M steel bars subjected to fatigue loading using an extended Gurson model. European Journal of Mechanics A/Solids,23, 899-908.
    • (2004) European Journal of Mechanics A/Solids , vol.23 , pp. 899-908
    • Cedergren, J.1    Melin, S.2    Lidströ, P.3
  • 28
    • 0022080976 scopus 로고
    • Threedimensional models for the internal neckings at incipient failure of intervoid matrix in ductile porous solids
    • Thomason, P.F. (1985)Threedimensional models for the internal neckings at incipient failure of intervoid matrix in ductile porous solids. Acta Metallurgica,33 (6), 1079-1085.
    • (1985) Acta Metallurgica , vol.33 , Issue.6 , pp. 1079-1085
    • Thomason, P.F.1
  • 30
    • 0028870956 scopus 로고
    • A new failure criterion for the Gurson-Tvergaard dilatational constitutive model
    • Zhang, Z.L. and Niemi, E. (1995)A new failure criterion for the Gurson-Tvergaard dilatational constitutive model. International Journal of Fracture,70, 321-334.
    • (1995) International Journal of Fracture , vol.70 , pp. 321-334
    • Zhang, Z.L.1    Niemi, E.2
  • 32
    • 0022131111 scopus 로고
    • Microvoid growth and failure in the ligament between a hole and a blunt crack tip
    • Aravas, N. and McMeeking, R.M. (1985)Microvoid growth and failure in the ligament between a hole and a blunt crack tip. International Journal of Fracture,29, 21-38.
    • (1985) International Journal of Fracture , vol.29 , pp. 21-38
    • Aravas, N.1    McMeeking, R.M.2
  • 34
    • 0028194122 scopus 로고
    • Mesh effects in the analysis of dynamic ductile crack growth
    • Needleman, A. and Tvergaard, V. (1994)Mesh effects in the analysis of dynamic ductile crack growth. Engineering Fracture Mechanics,47 (1), 75-91.
    • (1994) Engineering Fracture Mechanics , vol.47 , Issue.1 , pp. 75-91
    • Needleman, A.1    Tvergaard, V.2
  • 35
    • 0013025646 scopus 로고    scopus 로고
    • Ductile crack growth in pre-cracked CVN specimens: numerical studies
    • Koppenhoefer, K.C. and Dodds, R.H. (1998)Ductile crack growth in pre-cracked CVN specimens: numerical studies. Nuclear Engineering and Design,180, 221-241.
    • (1998) Nuclear Engineering and Design , vol.180 , pp. 221-241
    • Koppenhoefer, K.C.1    Dodds, R.H.2
  • 40
    • 0003897250 scopus 로고
    • Cracking and Damage: Strain Localization and Size Effects
    • Elsevier, Amsterdam
    • Mazars, J. and Bazant, Z.P. (1989) Cracking and Damage: Strain Localization and Size Effects, Elsevier, Amsterdam.
    • (1989)
    • Mazars, J.1    Bazant, Z.P.2
  • 44
    • 0028442663 scopus 로고
    • Bifurcation effects in ductile metals with nonlocal damage
    • Leblond, J.B., Perrin, G., and Devaux, J. (1994)Bifurcation effects in ductile metals with nonlocal damage. ASME Journal of Applied Mechanics,1 (2), 236-242.
    • (1994) ASME Journal of Applied Mechanics , vol.1 , Issue.2 , pp. 236-242
    • Leblond, J.B.1    Perrin, G.2    Devaux, J.3
  • 47
    • 2942515035 scopus 로고    scopus 로고
    • Local and non-local Gurson-based ductile damage and failure modelling at large deformation
    • Reusch, F., Svendsen, B., and Klingbeil, D. (2003)Local and non-local Gurson-based ductile damage and failure modelling at large deformation. European Journal of Mechanics A/Solids,22, 779-792.
    • (2003) European Journal of Mechanics A/Solids , vol.22 , pp. 779-792
    • Reusch, F.1    Svendsen, B.2    Klingbeil, D.3
  • 49
    • 0032155920 scopus 로고    scopus 로고
    • Finite element implementation of gradient plasticity models - part I: gradient-dependent yield functions
    • Ramaswamy, S. and Aravas, N. (1998)Finite element implementation of gradient plasticity models - part I: gradient-dependent yield functions. Computer Methods in Applied Mechanics and Engineering,163, 11-32.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.163 , pp. 11-32
    • Ramaswamy, S.1    Aravas, N.2
  • 50
    • 0032154076 scopus 로고    scopus 로고
    • Finite element implementation of gradient plasticity models - part II: gradient-dependent evolution equations
    • Ramaswamy, S. and Aravas, N. (1998)Finite element implementation of gradient plasticity models - part II: gradient-dependent evolution equations. Computer Methods in Applied Mechanics and Engineering,163, 33-53.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.163 , pp. 33-53
    • Ramaswamy, S.1    Aravas, N.2
  • 51
    • 84969705672 scopus 로고    scopus 로고
    • Optimization of Structural and Mechanical Systems
    • World Scientific Publishing
    • Arora, J.S. (2007) Optimization of Structural and Mechanical Systems, World Scientific Publishing.
    • (2007)
    • Arora, J.S.1
  • 53
    • 59749097988 scopus 로고    scopus 로고
    • Evolutionary method as a random tool for searching in Rn
    • Arabas, J. (2009)Evolutionary method as a random tool for searching in Rn. Computational Materials Science,45, 21-26.
    • (2009) Computational Materials Science , vol.45 , pp. 21-26
    • Arabas, J.1
  • 54
    • 84864665135 scopus 로고    scopus 로고
    • The fundamental problem with the building block hypothesis
    • Burjorjee, K.M. (2008) The fundamental problem with the building block hypothesis. http://arxiv.org/pdf/0810.3356.
    • (2008)
    • Burjorjee, K.M.1
  • 55
    • 0004342066 scopus 로고
    • Numerical Optimization Techniques for Engineering Design
    • McGraw-Hill
    • Vanderplaats, G.N. (1984) Numerical Optimization Techniques for Engineering Design, McGraw-Hill.
    • (1984)
    • Vanderplaats, G.N.1
  • 56
    • 85101479752 scopus 로고    scopus 로고
    • Engineering Optimization: Theory and Practice
    • 3rd edn, John Wiley & Sons, Inc.
    • Rao, S. (1996) Engineering Optimization: Theory and Practice, 3rd edn, John Wiley & Sons, Inc.
    • (1996)
    • Rao, S.1
  • 57
    • 0023287947 scopus 로고
    • Method of moving asymptotes - a new method for structural optimization
    • Svanberg, K. (1987)Method of moving asymptotes - a new method for structural optimization. International Journal for Numerical Methods in Engineering,24 (2), 359-373.
    • (1987) International Journal for Numerical Methods in Engineering , vol.24 , Issue.2 , pp. 359-373
    • Svanberg, K.1
  • 58
    • 0001444320 scopus 로고
    • A globally convergent version of the method of moving asymptotes
    • Zillober, C. (1993)A globally convergent version of the method of moving asymptotes. Structural Optimization,6, 166-174.
    • (1993) Structural Optimization , vol.6 , pp. 166-174
    • Zillober, C.1
  • 61
    • 0041491514 scopus 로고    scopus 로고
    • A new globally convergent version of the method of moving asymptotes
    • Internal report: TRITA/MAT-99-OS2, Department of Mathematics, Royal Institute of Technology, Stockholm
    • Svanberg, K. (1999) A new globally convergent version of the method of moving asymptotes. Internal report: TRITA/MAT-99-OS2, Department of Mathematics, Royal Institute of Technology, Stockholm.
    • (1999)
    • Svanberg, K.1
  • 62
    • 0035841941 scopus 로고    scopus 로고
    • An updated Lagrangian finite element sensitivity analysis of large deformations using quadrilateral elements
    • Srikanth, A. and Zabaras, N. (2001)An updated Lagrangian finite element sensitivity analysis of large deformations using quadrilateral elements. International Journal for Numerical Methods in Engineering,52, 1131-1163.
    • (2001) International Journal for Numerical Methods in Engineering , vol.52 , pp. 1131-1163
    • Srikanth, A.1    Zabaras, N.2
  • 63
    • 0042494771 scopus 로고    scopus 로고
    • 3D inverse analysis using semi-analytical differentiation for mechanical parameter estimation
    • Forestier, R., Chastel, Y., and Massoni, E. (2003)3D inverse analysis using semi-analytical differentiation for mechanical parameter estimation. Inverse Problems in Science and Engineering,11, 255-271.
    • (2003) Inverse Problems in Science and Engineering , vol.11 , pp. 255-271
    • Forestier, R.1    Chastel, Y.2    Massoni, E.3
  • 64
    • 6344239058 scopus 로고    scopus 로고
    • A modified finite difference sensitivity analysis method allowing remeshing in large strain path-dependent problems
    • Muñoz-Rojas, P.A., Fonseca, J.S.O., and Creus, G.J. (2004)A modified finite difference sensitivity analysis method allowing remeshing in large strain path-dependent problems. International Journal for Numerical Methods in Engineering,61, 1049-1107.
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , pp. 1049-1107
    • Muñoz-rojas, P.A.1    Fonseca, J.S.O.2    Creus, G.J.3
  • 65
    • 0024128256 scopus 로고
    • Sensitivity analysis of nonlinear FEM
    • Hisada, T. (1988) Sensitivity analysis of nonlinear FEM. Proceedings of the ASCE EMD/GTD/STD Specialty Conference on Probabilistic Methods, pp. 160-163.
    • (1988) , pp. 160-163
    • Hisada, T.1
  • 66
    • 84887194553 scopus 로고
    • The use of the Euler Lagrange finite element method in metal forming including contact and adaptive mesh
    • Proceedings of the ASME Winter Annual Meeting, Atlanta
    • Ponthot, J.P. and Hogge, M. (1991) The use of the Euler Lagrange finite element method in metal forming including contact and adaptive mesh. Proceedings of the ASME Winter Annual Meeting, Atlanta.
    • (1991)
    • Ponthot, J.P.1    Hogge, M.2
  • 67
    • 0019607218 scopus 로고
    • On the implementation of inelastic constitutive equations with special reference to large deformation problems
    • Nagtegaal, J.C. (1982)On the implementation of inelastic constitutive equations with special reference to large deformation problems. Computer Methods in Applied Mechanics and Engineering,33, 469-484.
    • (1982) Computer Methods in Applied Mechanics and Engineering , vol.33 , pp. 469-484
    • Nagtegaal, J.C.1
  • 69
    • 4243246395 scopus 로고    scopus 로고
    • Identification parametrique et optimisation des procedes de mise a forme par problemes inverses
    • PhD thesis, University of Liëge, Belgium
    • Kleinermann, J.P. (2000) Identification parametrique et optimisation des procedes de mise a forme par problemes inverses. PhD thesis, University of Liëge, Belgium.
    • (2000)
    • Kleinermann, J.P.1
  • 70
    • 0003630043 scopus 로고
    • Nonlinear finite element sensitivity analysis for large deformation elastoplastic and contact problems
    • PhD thesis, University of Tokyo, Japan
    • Chen, X. (1994) Nonlinear finite element sensitivity analysis for large deformation elastoplastic and contact problems. PhD thesis, University of Tokyo, Japan.
    • (1994)
    • Chen, X.1
  • 72
    • 84887195539 scopus 로고    scopus 로고
    • O modelo de Gurson para dano dúctil: estratégia computacional e aplicacõeses
    • PhD thesis, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
    • Cunda, L.A.B. (2006) O modelo de Gurson para dano dúctil: estratégia computacional e aplicac, ões, PhD thesis, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil.
    • (2006)
    • Cunda, L.A.B.1
  • 73
    • 77951976114 scopus 로고    scopus 로고
    • Parameter Identification of Damage Models using Genetic Algorithms
    • Muñoz-Rojas, P.A., Cardoso, E.L., and Vaz, M. Jr. (2010)Parameter Identification of Damage Models using Genetic Algorithms. Experimental Mechanics,50, 627-634.
    • (2010) Experimental Mechanics , vol.50 , pp. 627-634
    • Muñoz-rojas, P.A.1    Cardoso, E.L.2    Vaz Jr, M.3
  • 74
    • 33749345910 scopus 로고    scopus 로고
    • Metallic Materials - Tensile Testing at Ambient Temperature
    • ABNT, NBR ISO 6892, ABNT, Rio de Janeiro
    • ABNT (2002) NBR ISO 6892. Metallic Materials - Tensile Testing at Ambient Temperature, ABNT, Rio de Janeiro.
    • (2002)
  • 75
    • 77951979234 scopus 로고
    • Tensile Testing of Metallic Materials
    • ASTM, E 8M-86a, ASTM, Philadelphia
    • ASTM (1987) E 8M-86a. Tensile Testing of Metallic Materials, ASTM, Philadelphia.
    • (1987)
  • 77
    • 84887193465 scopus 로고    scopus 로고
    • Identificacão de par̂ametros de dano utilizando uma abordagem mista de otimizacão
    • Cusco, Peru
    • Muñoz-Rojas, P.A. and Cardoso, E.L. (2007) Identificacão de par̂ametros de dano utilizando uma abordagem mista de otimizacão. 8? Congreso Iberoamericano de Ingenieria Meĉanica, Cusco, Peru.
    • (2007) Congreso Iberoamericano de Ingenieria Meĉanica , vol.8
    • Muñoz-rojas, P.A.1    Cardoso, E.L.2
  • 78
    • 12444286844 scopus 로고    scopus 로고
    • Identification of material parameters of the Gurson-Tvergaard-Needleman model by combined experimental and numerical techniques
    • Springmann, M. and Kuna, M. (2005)Identification of material parameters of the Gurson-Tvergaard-Needleman model by combined experimental and numerical techniques. Computational Materials Science,32, 544-552.
    • (2005) Computational Materials Science , vol.32 , pp. 544-552
    • Springmann, M.1    Kuna, M.2
  • 79
    • 49949105011 scopus 로고    scopus 로고
    • Identification of mechanical material behavior through inverse modeling and DIC
    • Cooreman, S., Lecompte, S., Sol, H., Vantomme, J., and Debruyne, D. (2008)Identification of mechanical material behavior through inverse modeling and DIC. Experimental Mechanics,48, 421-433.
    • (2008) Experimental Mechanics , vol.48 , pp. 421-433
    • Cooreman, S.1    Lecompte, S.2    Sol, H.3    Vantomme, J.4    Debruyne, D.5
  • 80
    • 33749348638 scopus 로고    scopus 로고
    • Determination of ductile damage parameters by local deformation fields: measurement and simulation
    • Springmann, M. and Kuna, M. (2006)Determination of ductile damage parameters by local deformation fields: measurement and simulation. Archive of Applied Mechanics,75, 775-797.
    • (2006) Archive of Applied Mechanics , vol.75 , pp. 775-797
    • Springmann, M.1    Kuna, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.