메뉴 건너뛰기




Volumn 63, Issue 4, 2005, Pages 548-568

On the numerical implementation of 3D rate-dependent single crystal plasticity formulations

Author keywords

Constitutive integration algorithm; Crystal plasticity; Plastic incompressibility; Single crystals; Texture update

Indexed keywords

ALGORITHMS; DEFORMATION; INTEGRATION; NUMERICAL METHODS; SINGLE CRYSTALS; THREE DIMENSIONAL;

EID: 19944422145     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1289     Document Type: Article
Times cited : (78)

References (49)
  • 7
    • 0000834966 scopus 로고
    • A theoretical derivation of the plastic properties of a polycrystalline center-faced metal
    • Bishop JF, Hill R. A theoretical derivation of the plastic properties of a polycrystalline center-faced metal. Philosophical Magazine 1951; 42:414-427.
    • (1951) Philosophical Magazine , vol.42 , pp. 414-427
    • Bishop, J.F.1    Hill, R.2
  • 8
    • 44349098862 scopus 로고
    • Generalized constitutive relations for incremental deformation of metals crystals by multislips
    • Hill R. Generalized constitutive relations for incremental deformation of metals crystals by multislips. Journal of the Mechanics and Physics of Solids 1966; 14:95-102.
    • (1966) Journal of the Mechanics and Physics of Solids , vol.14 , pp. 95-102
    • Hill, R.1
  • 9
    • 0015161025 scopus 로고
    • Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
    • Rice JR. Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. Journal of the Mechanics and Physics of Solids 1971; 19:433-455.
    • (1971) Journal of the Mechanics and Physics of Solids , vol.19 , pp. 433-455
    • Rice, J.R.1
  • 10
    • 0000385898 scopus 로고
    • Bounds and self-consistent estimates for creep of polycrystalline materials
    • Hutchinson JW. Bounds and self-consistent estimates for creep of polycrystalline materials. Proceedings of the Royal Society of London 1976; A348:101-127.
    • (1976) Proceedings of the Royal Society of London , vol.A348 , pp. 101-127
    • Hutchinson, J.W.1
  • 12
    • 0020895305 scopus 로고
    • Micromechanics of crystals and polycrystals
    • Asaro RJ. Micromechanics of crystals and polycrystals. Advances in Applied Mechanics 1983; 23:1-115.
    • (1983) Advances in Applied Mechanics , vol.23 , pp. 1-115
    • Asaro, R.J.1
  • 16
    • 0020876453 scopus 로고
    • Material rate dependence and localized deformation in crystalline solids
    • Peirce D, Asaro RJ, Needleman A. Material rate dependence and localized deformation in crystalline solids. Acta Metallurgica 1983; 31 :1951-1983.
    • (1983) Acta Metallurgica , vol.31 , pp. 1951-1983
    • Peirce, D.1    Asaro, R.J.2    Needleman, A.3
  • 17
    • 4043154601 scopus 로고    scopus 로고
    • Multiscale representation of polycrystalline inelasticity
    • Ph.D. Dissertation. Georgia Institute of Technology
    • McGinty RD. Multiscale representation of polycrystalline inelasticity. Ph.D. Dissertation. Georgia Institute of Technology, 2001.
    • (2001)
    • McGinty, R.D.1
  • 18
    • 0026945969 scopus 로고
    • A time integration algorithm for elastic-viscoplastic cubic crystals applied to modelling polycrystalline deformation
    • Maniatty AM, Dawson PR, Lee YS. A time integration algorithm for elastic-viscoplastic cubic crystals applied to modelling polycrystalline deformation. International Journal for Numerical Methods and Engineering 1992; 35:1565-1588.
    • (1992) International Journal for Numerical Methods and Engineering , vol.35 , pp. 1565-1588
    • Maniatty, A.M.1    Dawson, P.R.2    Lee, Y.S.3
  • 19
    • 19944425462 scopus 로고    scopus 로고
    • Integration algorithm for modelling the elastic-viscoplastic response of polycrystalline materials
    • see: www-cms.ornl.gov/micro/pub/Jmps.pdf
    • Sarma G, Zacharia T. Integration algorithm for modelling the elastic-viscoplastic response of polycrystalline materials. see: www-cms.ornl.gov/micro/pub/Jmps.pdf., 1998.
    • (1998)
    • Sarma, G.1    Zacharia, T.2
  • 21
    • 0008528978 scopus 로고
    • Finite strain elastic-plastic theory with application to plane wave analysis
    • Lee EH, Liu DT. Finite strain elastic-plastic theory with application to plane wave analysis. Journal of Applied Physics 1967; 38 :391-408.
    • (1967) Journal of Applied Physics , vol.38 , pp. 391-408
    • Lee, E.H.1    Liu, D.T.2
  • 22
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • Lee EH. Elastic-plastic deformation at finite strains. Journal of Applied Mechanics 1969; 36:1-6.
    • (1969) Journal of Applied Mechanics , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 23
    • 0015021219 scopus 로고
    • Finite-strain theory of crystalline elastic-inelastic materials
    • Kratochvil J. Finite-strain theory of crystalline elastic-inelastic materials. Journal of Applied Physics 1971; 42:1104-1108.
    • (1971) Journal of Applied Physics , vol.42 , pp. 1104-1108
    • Kratochvil, J.1
  • 25
    • 0003365989 scopus 로고
    • Plasticité classique et viscoplasticité
    • ICMS, Udine. Springer: New York
    • Mandel J. Plasticité classique et viscoplasticité. In Courses and Lectures, No. 97, ICMS, Udine. Springer: New York, 1971.
    • (1971) Courses and Lectures , Issue.97
    • Mandel, J.1
  • 26
    • 0018286559 scopus 로고
    • Decomposition of strain measures and their rates in finite deformation elastoplakicity
    • Nemat-Nasser S. Decomposition of strain measures and their rates in finite deformation elastoplakicity. International Journal of Solids and Structures 1979; 15:155-166.
    • (1979) International Journal of Solids and Structures , vol.15 , pp. 155-166
    • Nemat-Nasser, S.1
  • 28
    • 0002649601 scopus 로고
    • Representation of inelastic behaviour in the presence of anisotropy and of finite deformations
    • Wilshire B, Owen DRJ (eds). Pineridge Press: Swansea, UK
    • Onat ET. Representation of inelastic behaviour in the presence of anisotropy and of finite deformations. In Recent Advances in Creep and Fracture of Engineering Materials and Structures, Wilshire B, Owen DRJ (eds). Pineridge Press: Swansea, UK, 1982.
    • (1982) Recent Advances in Creep and Fracture of Engineering Materials and Structures
    • Onat, E.T.1
  • 29
    • 0020940831 scopus 로고
    • On the effects of plastic rotation in the finite deformation of anisotropic elastoplastic materials
    • Loret B. On the effects of plastic rotation in the finite deformation of anisotropic elastoplastic materials. Mechanics of Materials 1983; 2:287-304.
    • (1983) Mechanics of Materials , vol.2 , pp. 287-304
    • Loret, B.1
  • 30
    • 0020816030 scopus 로고
    • Co-rotational rates of kinematic hardening at large plastic deformation
    • Dafilias YF. Co-rotational rates of kinematic hardening at large plastic deformation. Journal of Applied Mechanics 1983; 50:561-565.
    • (1983) Journal of Applied Mechanics , vol.50 , pp. 561-565
    • Dafilias, Y.F.1
  • 35
    • 0024073520 scopus 로고
    • Shear band formulation in plane strain compression
    • Harren SV, Dève HE, Asaro RJ. Shear band formulation in plane strain compression. Acta Metallurgica 1988; 36:2435-2480.
    • (1988) Acta Metallurgica , vol.36 , pp. 2435-2480
    • Harren, S.V.1    Dève, H.E.2    Asaro, R.J.3
  • 37
    • 0020140945 scopus 로고
    • An analysis of non-uniform and localized deformation in ductile single crystals
    • Peirce D, Asaro RJ, Needleman A. An analysis of non-uniform and localized deformation in ductile single crystals. Acta Metallurgica 1982; 30:1087-1119.
    • (1982) Acta Metallurgica , vol.30 , pp. 1087-1119
    • Peirce, D.1    Asaro, R.J.2    Needleman, A.3
  • 38
    • 0020934361 scopus 로고
    • Rate sensitivity of plastic flow and implications for yield surface vertices
    • Pan J, Rice JR. Rate sensitivity of plastic flow and implications for yield surface vertices. International Journal of Solids and Structures 1983; 19:973-987.
    • (1983) International Journal of Solids and Structures , vol.19 , pp. 973-987
    • Pan, J.1    Rice, J.R.2
  • 39
    • 0022083554 scopus 로고
    • Texture development and strain hardening in rate dependent polycrystals
    • Asaro RJ, Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica 1985; 33 (6):923-953.
    • (1985) Acta Metallurgica , vol.33 , Issue.6 , pp. 923-953
    • Asaro, R.J.1    Needleman, A.2
  • 40
    • 0021568249 scopus 로고
    • A numerical study of localized deformation in bi-crystals
    • Lemonds J, Asaro RJ, Needleman A. A numerical study of localized deformation in bi-crystals. Mechanics of Materials 1985; 4 :417-436.
    • (1985) Mechanics of Materials , vol.4 , pp. 417-436
    • Lemonds, J.1    Asaro, R.J.2    Needleman, A.3
  • 41
    • 0030128143 scopus 로고    scopus 로고
    • A computational procedure for rate-independent crystal plasticity
    • Anand L, Kothari M. A computational procedure for rate-independent crystal plasticity. Journal of the Mechanics and Physics of Solids 1996; 44(4):525-558.
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , Issue.4 , pp. 525-558
    • Anand, L.1    Kothari, M.2
  • 42
    • 0029771789 scopus 로고    scopus 로고
    • On the numerical treatment and analysis of finite deformation ductile single crystal plasticity
    • Steinmann P, Stein E. On the numerical treatment and analysis of finite deformation ductile single crystal plasticity. Computer Methods in Applied Mechanics and Engineering 1996; 129:235-254.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.129 , pp. 235-254
    • Steinmann, P.1    Stein, E.2
  • 43
    • 0020928207 scopus 로고
    • On finite plastic flow of crystalline solids and geomaterials
    • Nemat-Nasser S. On finite plastic flow of crystalline solids and geomaterials. Transactions of the ASME 1983; 50:1114-1126.
    • (1983) Transactions of the ASME , vol.50 , pp. 1114-1126
    • Nemat-Nasser, S.1
  • 45
    • 0033116492 scopus 로고    scopus 로고
    • Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials
    • Miehe C, Schröder J, Schotte J. Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials. Computer Methods in Applied Mechanics and Engineering 1999; 171:387-418.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , pp. 387-418
    • Miehe, C.1    Schröder, J.2    Schotte, J.3
  • 47
    • 19944363486 scopus 로고    scopus 로고
    • Abaqus Company
    • ABAQUS User's Manaul. v6.4. Abaqus Company, 2004.
    • (2004) ABAQUS User's Manaul , vol.6 , Issue.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.