메뉴 건너뛰기




Volumn 15, Issue 3, 1999, Pages 353-374

Alternative approach to finite plasticity based on material isomorphisms

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; MATHEMATICAL MODELS;

EID: 0032650520     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(98)00074-6     Document Type: Article
Times cited : (103)

References (59)
  • 1
    • 0029703863 scopus 로고    scopus 로고
    • The Clausius-Duhem inequality and the structure of rate-independent plasticity
    • Acharya A., Shawki T.G. The Clausius-Duhem inequality and the structure of rate-independent plasticity. Int. J. Plast. 12:(2):1996;229-238.
    • (1996) Int. J. Plast. , vol.12 , Issue.2 , pp. 229-238
    • Acharya, A.1    Shawki, T.G.2
  • 2
    • 0012064685 scopus 로고
    • Constitutive equations for large deformations of metals at high temperatures
    • In: Chandra, J., Sri Vastav, R.P. (Eds.) Siam, Philadelphia, PA
    • Anand, L., Brown, S., 1987. Constitutive equations for large deformations of metals at high temperatures. In: Chandra, J., Sri Vastav, R.P. (Eds.), Constitutive Models of Deformation. Siam, Philadelphia, PA. pp. 1-26.
    • (1987) Constitutive Models of Deformation , pp. 1-26
    • Anand, L.1    Brown, S.2
  • 3
    • 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. J. Mech. Phys. Solids. 44:(4):1996;525-558.
    • (1996) J. Mech. Phys. Solids , vol.44 , Issue.4 , pp. 525-558
    • Anand, L.1    Kothari, M.2
  • 4
    • 0020895305 scopus 로고
    • Micromechanics of crystals and polycrystals
    • In: Hutchinson, J.W., Wu, T.Y. (Eds.) Academic Press
    • Asaro, R.J., 1983. Micromechanics of crystals and polycrystals. In: Hutchinson, J.W., Wu, T.Y. (Eds.), Advances in Applied Mechanics. Academic Press.
    • (1983) Advances in Applied Mechanics
    • Asaro, R.J.1
  • 5
    • 0020311751 scopus 로고
    • Material systems - A framework for the description of material behavior
    • Bertram A. Material systems - a framework for the description of material behavior. Arch. Rat. Mech. Anal. 80:(2):1982;99-133.
    • (1982) Arch. Rat. Mech. Anal. , vol.80 , Issue.2 , pp. 99-133
    • Bertram, A.1
  • 7
    • 0002802984 scopus 로고
    • Description of finite inelastic deformations
    • In: Benallal, A., Billardon, R., Marquis, D. (Eds.) Cachan, France
    • Bertram, A., 1992. Description of finite inelastic deformations. In: Benallal, A., Billardon, R., Marquis, D. (Eds.), Proceedings of MECAMAT '92 Int. Sem. Multiaxial Plasticity, Cachan, France. pp. 821-835.
    • (1992) Proceedings of MECAMAT '92 Int. Sem. Multiaxial Plasticity , pp. 821-835
    • Bertram, A.1
  • 8
    • 0345455135 scopus 로고
    • What is the general constitutive equation?
    • In: Alexandru, C. et al. (Eds.) TU, Berlin
    • Bertram, A., 1993. What is the general constitutive equation? In: Alexandru, C. et al. (Eds.), Beiträge zur Mechanik. TU, Berlin, pp. 28-37.
    • (1993) Beiträge Zur Mechanik , pp. 28-37
    • Bertram, A.1
  • 9
    • 0000184185 scopus 로고
    • Determination of finite plastic deformations in single crystals
    • Bertram A., Kraska M. Determination of finite plastic deformations in single crystals. Archives of Mechanics. 47:(2):1995;203-222.
    • (1995) Archives of Mechanics , vol.47 , Issue.2 , pp. 203-222
    • Bertram, A.1    Kraska, M.2
  • 10
    • 0038447557 scopus 로고
    • Description of finite plastic deformations in single crystals by material isomorphisms
    • In: Parker, D.F., England, A.H. (Eds.) 30 August-3 September Nottingham, UK. Kluwer Academic, Dordrecht/Boston/London
    • Bertram, A., Kraska, M., 1995b. Description of finite plastic deformations in single crystals by material isomorphisms. In: Parker, D.F., England, A.H. (Eds.), Proceedings of IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics, 30 August-3 September 1994, Nottingham, UK. Kluwer Academic, Dordrecht/Boston/London, pp. 77-90.
    • (1994) Proceedings of IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics , pp. 77-90
    • Bertram, A.1    Kraska, M.2
  • 11
    • 0344592984 scopus 로고    scopus 로고
    • Numerical simulation of texture development of polycrystals undergoing large plastic deformations
    • In: Owen, D.R.J., Onate, E., Hinton, E. (Eds.) 17-20 March 1997. CIMNE, Barcelona
    • Bertram, A., Böhlke, T., Kraska, M., 1997a. Numerical simulation of texture development of polycrystals undergoing large plastic deformations. In: Owen, D.R.J., Onate, E., Hinton, E. (Eds.), Proceedings of Computational Plasticity - Fundamentals and Applications 5, 17-20 March 1997. CIMNE, Barcelona, pp. 895-900.
    • (1997) Proceedings of Computational Plasticity - Fundamentals and Applications , vol.5 , pp. 895-900
    • Bertram, A.1    Böhlke, T.2    Kraska, M.3
  • 12
    • 0031358576 scopus 로고    scopus 로고
    • Numerical simulation of deformation induced ansiotropy of polycrystals
    • Bertram A., Böhlke T., Kraska M. Numerical simulation of deformation induced ansiotropy of polycrystals. Comp. Mat. Sci. 9:1997;158-167.
    • (1997) Comp. Mat. Sci. , vol.9 , pp. 158-167
    • Bertram, A.1    Böhlke, T.2    Kraska, M.3
  • 13
    • 22444453941 scopus 로고    scopus 로고
    • The dissipation-inequality in rate-independent thermoplasticity
    • in press
    • Bertram, A., 1999. The dissipation-inequality in rate-independent thermoplasticity. Zeit. angew. Math. Mech., in press.
    • (1999) Zeit. Angew. Math. Mech.
    • Bertram, A.1
  • 14
    • 0000410614 scopus 로고
    • Continuous distributions of dislocations: A new application of the methods of non-Riemannian geometry
    • Bilby, B.A., Bullough, R., Smith, E., 1955. Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry. Proc. Roy. Soc. A231, 263-273.
    • (1955) Proc. Roy. Soc. , vol.A231 , pp. 263-273
    • Bilby, B.A.1    Bullough, R.2    Smith, E.3
  • 15
    • 26144440179 scopus 로고    scopus 로고
    • Simulation der einfachen Scherung einer polykristallinen Aluminiumlegierung
    • Böhlke, T., Kraska, M., Bertram, A., 1997. Simulation der einfachen Scherung einer polykristallinen Aluminiumlegierung. In: Technische Mechanik. Sonderheft, pp. 47-54.
    • (1997) In: Technische Mechanik. Sonderheft , pp. 47-54
    • Böhlke, T.1    Kraska, M.2    Bertram, A.3
  • 17
    • 84898025093 scopus 로고
    • A correct definition of elastic and plastic deformation and its computational significance
    • Casey J., Naghdi P.M. A correct definition of elastic and plastic deformation and its computational significance. J. Appl. Mech. 48:1981;983-984.
    • (1981) J. Appl. Mech. , vol.48 , pp. 983-984
    • Casey, J.1    Naghdi, P.M.2
  • 18
    • 0022674281 scopus 로고
    • Invariance considerations in large strain elasto-plasticity
    • Dashner P.A. Invariance considerations in large strain elasto-plasticity. J. Appl. Mech. 53:1986;55-60.
    • (1986) J. Appl. Mech. , vol.53 , pp. 55-60
    • Dashner, P.A.1
  • 19
    • 0016598303 scopus 로고
    • On the elastic-plastic material element
    • Del Piero G. On the elastic-plastic material element. Arch. Rat. Mech. Anal. 59:(2):1975;111-129.
    • (1975) Arch. Rat. Mech. Anal. , vol.59 , Issue.2 , pp. 111-129
    • Del Piero, G.1
  • 20
    • 0000632021 scopus 로고
    • The thermodynamics of irreversible processes. IV. the theory of elasticity and anelasticity
    • Eckart C. The thermodynamics of irreversible processes. IV. The theory of elasticity and anelasticity. Phys. Rev. 73:(4):1948;373-382.
    • (1948) Phys. Rev. , vol.73 , Issue.4 , pp. 373-382
    • Eckart, C.1
  • 21
    • 34250970465 scopus 로고
    • A general theory of an elastic-plastic continuum
    • Green A.E., Naghdi P.M. A general theory of an elastic-plastic continuum. Arch. Rat. Mech. Anal. 18:(4):1965;251-281.
    • (1965) Arch. Rat. Mech. Anal. , vol.18 , Issue.4 , pp. 251-281
    • Green, A.E.1    Naghdi, P.M.2
  • 22
    • 0015161795 scopus 로고
    • Some remarks on elastic-plastic deformation at finite strain
    • Green A.E., Naghdi P.M. Some remarks on elastic-plastic deformation at finite strain. Int. J. Engng. Sci. 9:1971;1219-1229.
    • (1971) Int. J. Engng. Sci. , vol.9 , pp. 1219-1229
    • Green, A.E.1    Naghdi, P.M.2
  • 26
    • 0029724062 scopus 로고    scopus 로고
    • An anisotropic elastic-plastic constitutive model for single and polycrystal-line metals
    • Khan A.S., Cheng P. An anisotropic elastic-plastic constitutive model for single and polycrystal-line metals. Int. J. Plast. 12:(2):1996;147-162.
    • (1996) Int. J. Plast. , vol.12 , Issue.2 , pp. 147-162
    • Khan, A.S.1    Cheng, P.2
  • 28
    • 0002910971 scopus 로고
    • On the geometrical and physical foundations of the theory of yielding
    • Kondo, K. 1952. On the geometrical and physical foundations of the theory of yielding. Proc. 2. Japan Nat. Congress of Appl. Mech., 41-47.
    • (1952) Proc. 2. Japan Nat. Congress of Appl. Mech. , pp. 41-47
    • Kondo, K.1
  • 29
    • 0038371987 scopus 로고    scopus 로고
    • Simulation of polycrystals using an FEM-based representative volume element
    • Kraska M., Bertram A. Simulation of polycrystals using an FEM-based representative volume element. Technische Mechanik. 16:(1):1996;51-62.
    • (1996) Technische Mechanik , vol.16 , Issue.1 , pp. 51-62
    • Kraska, M.1    Bertram, A.2
  • 30
    • 0014749491 scopus 로고
    • Thermodynamics of crystalline elasto-visco-plastic materials
    • Kratochvil J., Dillon O.W. Thermodynamics of crystalline elasto-visco-plastic materials. J. Appl. Phys. 41:(4):1970;1470-1479.
    • (1970) J. Appl. Phys. , vol.41 , Issue.4 , pp. 1470-1479
    • Kratochvil, J.1    Dillon, O.W.2
  • 31
    • 0015021219 scopus 로고
    • Finite-strain theory of crystalline elastic-inelastic materials
    • Kratochvil J. Finite-strain theory of crystalline elastic-inelastic materials. J. Appl. Phys. 42:(3):1971;1104-1108.
    • (1971) J. Appl. Phys. , vol.42 , Issue.3 , pp. 1104-1108
    • Kratochvil, J.1
  • 32
    • 0015570103 scopus 로고
    • On a finite strain theory of elastic-inelastic materials
    • Kratochvil J. On a finite strain theory of elastic-inelastic materials. Acta Mech. 16:(1-2):1973;127-142.
    • (1973) Acta Mech. , vol.16 , Issue.12 , pp. 127-142
    • Kratochvil, J.1
  • 35
    • 34250962104 scopus 로고
    • Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
    • Kröner E. Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Arch. Rat. Mech. Anal. 4:(4):1960;273-334.
    • (1960) Arch. Rat. Mech. Anal. , vol.4 , Issue.4 , pp. 273-334
    • Kröner, E.1
  • 36
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • Lee, E.H., 1969. Elastic-plastic deformation at finite strains. J. Appl. Mech. 36, 1-6.
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 37
    • 0023849185 scopus 로고
    • Materials with elastic range: A theory with a view toward applications. Part I
    • Lucchesi M., Podio-Guidugli P. Materials with elastic range: a theory with a view toward applications. Part I. Arch. Rat. Mech. Anal. 102:1988;23-43.
    • (1988) Arch. Rat. Mech. Anal. , vol.102 , pp. 23-43
    • Lucchesi, M.1    Podio-Guidugli, P.2
  • 38
    • 0038785239 scopus 로고
    • Materials with elastic range: A theory with a view toward applications. Part II
    • Lucchesi M., Podio-Guidugli P. Materials with elastic range: a theory with a view toward applications. Part II. Arch. Rat. Mech. Anal. 110:1990;9-42.
    • (1990) Arch. Rat. Mech. Anal. , vol.110 , pp. 9-42
    • Lucchesi, M.1    Podio-Guidugli, P.2
  • 39
    • 0037689389 scopus 로고
    • Materials with elastic range: A theory with a view toward applications. Part III
    • Lucchesi M., Owen D.R., Podio-Guidugli P. Materials with elastic range: a theory with a view toward applications. Part III. Arch. Rat. Mech. Anal. 117:1992;53-96.
    • (1992) Arch. Rat. Mech. Anal. , vol.117 , pp. 53-96
    • Lucchesi, M.1    Owen, D.R.2    Podio-Guidugli, P.3
  • 41
    • 0015639886 scopus 로고
    • Equations constitutive et directeurs dans les milieux plastiques et viscoplastique
    • Mandel J. Equations constitutive et directeurs dans les milieux plastiques et viscoplastique. Int. J. Sol. Struct. 9:1973;725-740.
    • (1973) Int. J. Sol. Struct. , vol.9 , pp. 725-740
    • Mandel, J.1
  • 42
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • In: Delgado Domingos, J.J., Nina, M.N.R., Whitlaw, J.H. (Eds.) McMillan, London
    • Mandel, J., (1974). Thermodynamics and plasticity. In: Delgado Domingos, J.J., Nina, M.N.R., Whitlaw, J.H. (Eds.), Proc. Int. Symp. Foundations of Continuum Thermodynamics. McMillan, London.
    • (1974) Proc. Int. Symp. Foundations of Continuum Thermodynamics
    • Mandel, J.1
  • 43
    • 85031620495 scopus 로고    scopus 로고
    • A comparative study of stress update algorithms for rate-independent and rate dependent crystal plasticity
    • in press
    • Miehe, C., Schr̈oder, J., A comparative study of stress update algorithms for rate-independent and rate dependent crystal plasticity. Int. J. of Num. Meth. in Engn., in press.
    • Int. J. of Num. Meth. in Engn.
    • Miehe, C.1    Schr̈oder, J.2
  • 44
    • 0016557937 scopus 로고
    • The significance of formulating plasticity theory with reference to loading surfaces in strain space
    • Naghdi P., Trapp J.A. The significance of formulating plasticity theory with reference to loading surfaces in strain space. Int. J. Engn. Science. 13:1975;785-797.
    • (1975) Int. J. Engn. Science , vol.13 , pp. 785-797
    • Naghdi, P.1    Trapp, J.A.2
  • 45
    • 34249963313 scopus 로고
    • A critical review of the state of finite plasticity
    • Naghdi P.M. A critical review of the state of finite plasticity. J. Appl. Math. Phys. 41:1990;315-394.
    • (1990) J. Appl. Math. Phys. , vol.41 , pp. 315-394
    • Naghdi, P.M.1
  • 46
    • 34250971713 scopus 로고
    • A mathematical theory of the mechanical behavior of continuous media
    • Noll W. A mathematical theory of the mechanical behavior of continuous media. Arch. Rat. Mech. Anal. 2:1958;197-226.
    • (1958) Arch. Rat. Mech. Anal. , vol.2 , pp. 197-226
    • Noll, W.1
  • 47
    • 0346319021 scopus 로고
    • A new mathematical theory of simple materials
    • Noll W. A new mathematical theory of simple materials. Arch. Rat. Mech. Anal. 48:1972;1-50.
    • (1972) Arch. Rat. Mech. Anal. , vol.48 , pp. 1-50
    • Noll, W.1
  • 48
    • 0038108255 scopus 로고
    • Thermodynamics of materials with elastic range
    • Owen D.R. Thermodynamics of materials with elastic range. Arch. Rat. Mech. Anal. 31:1968;91-112.
    • (1968) Arch. Rat. Mech. Anal. , vol.31 , pp. 91-112
    • Owen, D.R.1
  • 49
    • 0038108253 scopus 로고
    • A mechanical theory of materials with elastic range
    • Owen D.R. A mechanical theory of materials with elastic range. Arch. Rat. Mech. Anal. 37:1970;85-110.
    • (1970) Arch. Rat. Mech. Anal. , vol.37 , pp. 85-110
    • Owen, D.R.1
  • 50
    • 85031637352 scopus 로고    scopus 로고
    • Mechanics of the inelastic behavior of materials - Part I theoretical underpinnings, part II inelastic response
    • in press
    • Rajagopal, K.R., Srinivasa, A.R., Mechanics of the inelastic behavior of materials - part I theoretical underpinnings, part II inelastic response. Int. J. Plast., in press.
    • Int. J. Plast.
    • Rajagopal, K.R.1    Srinivasa, A.R.2
  • 51
    • 0030403045 scopus 로고    scopus 로고
    • On the treatment of elastic deformation in finite elastic-viscoplastic theory
    • Rubin M.B. On the treatment of elastic deformation in finite elastic-viscoplastic theory. Int. J. Plast. 12:(7):1996;951-965.
    • (1996) Int. J. Plast. , vol.12 , Issue.7 , pp. 951-965
    • Rubin, M.B.1
  • 52
    • 0017416767 scopus 로고
    • On transformation laws for plastic deformations of materials with elastic range
    • Silhavy M. On transformation laws for plastic deformations of materials with elastic range. Arch. Rat. Mech. Anal. 63:(2):1977;169-182.
    • (1977) Arch. Rat. Mech. Anal. , vol.63 , Issue.2 , pp. 169-182
    • Silhavy, M.1
  • 53
    • 0017720128 scopus 로고
    • A theory of inelastic behavior of materials. Part I. Ideal inelastic materials
    • Silhavy M., Kratochvil J. A theory of inelastic behavior of materials. Part I. Ideal inelastic materials. Arch. Rat. Mech. Anal. 65:1977;97-129.
    • (1977) Arch. Rat. Mech. Anal. , vol.65 , pp. 97-129
    • Silhavy, M.1    Kratochvil, J.2
  • 54
    • 0007585011 scopus 로고
    • A theory of inelastic behavior of materials. Part II. Inelastic materials
    • Silhavy M., Kratochvil J. A theory of inelastic behavior of materials. Part II. Inelastic materials. Arch. Rat. Mech. Anal. 65:1977;131-152.
    • (1977) Arch. Rat. Mech. Anal. , vol.65 , pp. 131-152
    • Silhavy, M.1    Kratochvil, J.2
  • 55
    • 0032310080 scopus 로고    scopus 로고
    • A thermodynamic formulation of finite deformation elastoplasticity with hardening based on the concept of material isomorphisms
    • Svendsen B. A thermodynamic formulation of finite deformation elastoplasticity with hardening based on the concept of material isomorphisms. Int. J. Plast. 14:1998;473-488.
    • (1998) Int. J. Plast. , vol.14 , pp. 473-488
    • Svendsen, B.1
  • 56
    • 0000818662 scopus 로고
    • A theory of viscoplasticity without a yield suface
    • Valanis K.C. A theory of viscoplasticity without a yield suface. Arch. Mech. 23:1971;517-534.
    • (1971) Arch. Mech. , vol.23 , pp. 517-534
    • Valanis, K.C.1
  • 57
    • 0015969216 scopus 로고
    • Material uniformity and inhomogeneity in anelastic bodies
    • Wang C.-C., Bloom F. Material uniformity and inhomogeneity in anelastic bodies. Arch. Rat. Mech. Anal. 53:1974;246-276.
    • (1974) Arch. Rat. Mech. Anal. , vol.53 , pp. 246-276
    • Wang, C.-C.1    Bloom, F.2
  • 58
    • 0016596907 scopus 로고
    • Global equations of motion for anelastic bodies and bodies with elastic range
    • Wang C.-C. Global equations of motion for anelastic bodies and bodies with elastic range. Arch. Rat. Mech. Anal. 59:(1):1975;9-23.
    • (1975) Arch. Rat. Mech. Anal. , vol.59 , Issue.1 , pp. 9-23
    • Wang, C.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.