메뉴 건너뛰기




Volumn 56, Issue 6, 2004, Pages 425-445

The Voigt bound of the stress potential of isotropic viscoplastic FCC polycrystals

Author keywords

[No Author keywords available]

Indexed keywords


EID: 24944590123     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (42)
  • 1
    • 0026303073 scopus 로고
    • An adaptive algorithm for the approximate calculation of multiple integrals
    • J. Berntsen and T. Espelid, An adaptive algorithm for the approximate calculation of multiple integrals, ACM Transactions on Mathematical Software, 17, 4, 437-451, 1991.
    • (1991) ACM Transactions on Mathematical Software , vol.17 , Issue.4 , pp. 437-451
    • Berntsen, J.1    Espelid, T.2
  • 2
    • 0026263188 scopus 로고
    • An adaptive multidimensional integration routine for a vector of integrals
    • J. Berntsen and T. Espelid An adaptive multidimensional integration routine for a vector of integrals, ACM Transactions on Mathematical Software, 17, 4, 452-456, 1991.
    • (1991) ACM Transactions on Mathematical Software , vol.17 , Issue.4 , pp. 452-456
    • Berntsen, J.1    Espelid, T.2
  • 3
    • 0000834967 scopus 로고
    • A theoretical derivation of the plastic properties pf a polycrystalline face-centred metal
    • J. Bishop, R. Hill, A theoretical derivation of the plastic properties pf a polycrystalline face-centred metal, Phil. Mag., 42, 414, 1298-1307, 1951.
    • (1951) Phil. Mag. , vol.42 , Issue.414 , pp. 1298-1307
    • Bishop, J.1    Hill, R.2
  • 4
    • 0038403613 scopus 로고    scopus 로고
    • Crystallographic texture induced anisotropy in copper: An approach based on a tensorial Fourier expansion of the codf
    • T. Böhlke, A. Bertram, Crystallographic texture induced anisotropy in copper: An approach based on a tensorial Fourier expansion of the codf, J. Phys. IV, 105, 167-174, 2003.
    • (2003) J. Phys. IV , vol.105 , pp. 167-174
    • Böhlke, T.1    Bertram, A.2
  • 5
    • 0037675965 scopus 로고    scopus 로고
    • Modeling of deformation induced anisotropy in free-end torsion
    • T. Böhlke, A. Bertram, E. Krempl, Modeling of deformation induced anisotropy in free-end torsion, Int. J. Plast., 19, 1867-1884, 2003.
    • (2003) Int. J. Plast. , vol.19 , pp. 1867-1884
    • Böhlke, T.1    Bertram, A.2    Krempl, E.3
  • 6
    • 0000023244 scopus 로고
    • Zur Darstellung allgemeiner Texturen
    • H.-J. Bunge, Zur Darstellung allgemeiner Texturen, Z. Metallkde, 56, 872-874, 1965.
    • (1965) Z. Metallkde , vol.56 , pp. 872-874
    • Bunge, H.-J.1
  • 7
    • 13444255844 scopus 로고
    • The Bailey flow rule and associated yield surface
    • E. Davies, The Bailey flow rule and associated yield surface, Trans. ASME, E28, 2, 310, 1961.
    • (1961) Trans. ASME , vol.E28 , Issue.2 , pp. 310
    • Davies, E.1
  • 8
    • 0029639887 scopus 로고
    • Variational estimates for the creep behavior of polycrystals
    • G. deBotton, P. Castañeda, Variational estimates for the creep behavior of polycrystals, Proc. R. Soc. Lond., A448, 121-142, 1994.
    • (1994) Proc. R. Soc. Lond. , vol.A448 , pp. 121-142
    • deBotton, G.1    Castañeda, P.2
  • 10
    • 0346294859 scopus 로고
    • Representation of polycrystalline microstructure by n-point correlation tensors
    • P. Etingof, B. Adams, Representation of polycrystalline microstructure by n-point correlation tensors, Textures and Microstructures, 21, 17-37, 1993.
    • (1993) Textures and Microstructures , vol.21 , pp. 17-37
    • Etingof, P.1    Adams, B.2
  • 13
    • 0342368885 scopus 로고
    • On the strength of ductile materials under combined stress
    • J. Guest, On the strength of ductile materials under combined stress, Phil. Mag., 50, 69-132, 1900.
    • (1900) Phil. Mag. , vol.50 , pp. 69-132
    • Guest, J.1
  • 14
    • 11644258018 scopus 로고
    • A variational approach to the theory of the elastic behaviour of polycrystals
    • Z. Hashin, S. Shtrikman, A variational approach to the theory of the elastic behaviour of polycrystals, J. Mech. Phys. Solids, 10, 343-352, 1962.
    • (1962) J. Mech. Phys. Solids , vol.10 , pp. 343-352
    • Hashin, Z.1    Shtrikman, S.2
  • 15
    • 84980196897 scopus 로고
    • Zur Theorie plastischer Deformationen und der hierdurch im Material hervorgerufenen Nachspannungen
    • H. Hencky, Zur Theorie plastischer Deformationen und der hierdurch im Material hervorgerufenen Nachspannungen, ZAMM, 4, 323-334, 1924.
    • (1924) ZAMM , vol.4 , pp. 323-334
    • Hencky, H.1
  • 16
    • 85143537652 scopus 로고
    • The plasticity of an isotropic aggregate of anisotropic face-centered cubic crystals
    • A. Hershey, The plasticity of an isotropic aggregate of anisotropic face-centered cubic crystals, J. Appl. Mech., 3, 241-249, 1954.
    • (1954) J. Appl. Mech. , vol.3 , pp. 241-249
    • Hershey, A.1
  • 17
    • 0001297082 scopus 로고
    • A theory of yielding and plastic flow of anisotropic materials
    • R. Hill, A theory of yielding and plastic flow of anisotropic materials, Proc. Phys. Soc. Lond., A 193, 281-297, 1948.
    • (1948) Proc. Phys. Soc. Lond., A , vol.193 , pp. 281-297
    • Hill, R.1
  • 18
    • 0037620032 scopus 로고
    • Specific work of strain as a measure of material effort
    • 34-40, 49-50, 61-62
    • M. Huber, Specific work of strain as a measure of material effort, Czas. Techn., 22, 34-40, 49-50, 61-62, 80-81, 1904,
    • (1904) Czas. Techn. , vol.22 , pp. 80-81
    • Huber, M.1
  • 19
    • 0000385898 scopus 로고
    • Bounds and self-consistent estimates for creep of polycrystalline materials
    • J. Hutchinson, Bounds and self-consistent estimates for creep of polycrystalline materials, Proc. R. Soc. Lon., A 348, 101-127, 1976.
    • (1976) Proc. R. Soc. Lon., A , vol.348 , pp. 101-127
    • Hutchinson, J.1
  • 20
    • 0027884665 scopus 로고
    • A general anisotropic yield criterion using bounds and a transformation weighting tensor
    • A. Karafillis, M. Boyce A general anisotropic yield criterion using bounds and a transformation weighting tensor, J. Mech. Phys. Solids, 41, 12, 1859-1886, 1993.
    • (1993) J. Mech. Phys. Solids , vol.41 , Issue.12 , pp. 1859-1886
    • Karafillis, A.1    Boyce, M.2
  • 21
    • 0037213431 scopus 로고    scopus 로고
    • Physics and phenomenology of strain hardening: The FCC case
    • U. Kocks, H. Mecking, Physics and phenomenology of strain hardening: The FCC case. Progr. Mat. Sci., 48, 171-273, 2003.
    • (2003) Progr. Mat. Sci. , vol.48 , pp. 171-273
    • Kocks, U.1    Mecking, H.2
  • 23
    • 0000848373 scopus 로고
    • Mechanik der festen Körper im plastisch deformablen Zustand
    • R. Mises, Mechanik der festen Körper im plastisch deformablen Zustand, Göttingen Nachrichten, Math. Phys., 4, 1, 582-592, 1913.
    • (1913) Göttingen Nachrichten, Math. Phys. , vol.4 , Issue.1 , pp. 582-592
    • Mises, R.1
  • 24
    • 84974981875 scopus 로고
    • Mechanik der plastischen Formänderung bei Kristallen
    • R. Mises, Mechanik der plastischen Formänderung bei Kristallen, Z. Angew. Math. Mech., 8, 3, 161-185, 1928.
    • (1928) Z. Angew. Math. Mech. , vol.8 , Issue.3 , pp. 161-185
    • Mises, R.1
  • 25
    • 0035253892 scopus 로고    scopus 로고
    • Variational self-consistent estimates for cubic viscoplastic polycrystals: The effect of grain anisotropy and shape
    • M. Nebozhyn, P. Gilormini P. Castañeda, Variational self-consistent estimates for cubic viscoplastic polycrystals: the effect of grain anisotropy and shape, J. Mech. Phys. Solids, 49, 313-340, 2001.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 313-340
    • Nebozhyn, M.1    Gilormini, P.2    Castañeda, P.3
  • 26
    • 0003478204 scopus 로고    scopus 로고
    • Micromechanics: Overall properties of heterogeneous materials
    • Elsevier, 2 ed
    • S. Nemat-Nasser, M. Hori, Micromechanics: Overall properties of heterogeneous materials, Elsevier, 2 ed., 1999.
    • (1999)
    • Nemat-Nasser, S.1    Hori, M.2
  • 27
    • 44949277378 scopus 로고
    • The effective mechanical properties of nonlinear isotropic composites
    • P. Ponte Castañeda, The effective mechanical properties of nonlinear isotropic composites, J. Mech. Phys. Solids, 39, 45-71, 1991.
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 45-71
    • Ponte Castañeda, P.1
  • 28
    • 44049113784 scopus 로고
    • New variational principles in plasticity and their application to composite materials
    • P. Ponte Castañeda, New variational principles in plasticity and their application to composite materials, J. Mech. Phys. Solids, 40, 8, 1757-1788, 1992.
    • (1992) J. Mech. Phys. Solids , vol.40 , Issue.8 , pp. 1757-1788
    • Ponte Castañeda, P.1
  • 29
    • 0001051271 scopus 로고    scopus 로고
    • Variational estimates of the self-consistent type for some model nonlinear polycrystals
    • P. Ponte Castañeda, M. Nebozhyn, Variational estimates of the self-consistent type for some model nonlinear polycrystals Proc. R. Soc. Lond., A 453, 2715-2724, 1997.
    • (1997) Proc. R. Soc. Lond. A , vol.453 , pp. 2715-2724
    • Ponte Castañeda, P.1    Nebozhyn, M.2
  • 31
    • 84956078977 scopus 로고
    • Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle
    • A. Reuss, Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle, Z. Angew. Math. Mech., 9, 49-58, 1929.
    • (1929) Z. Angew. Math. Mech. , vol.9 , pp. 49-58
    • Reuss, A.1
  • 32
    • 36849119723 scopus 로고
    • Description of crystalline orientation of polycrystalline materials. III. General solution to pole figure inversion
    • R. Roe, Description of crystalline orientation of polycrystalline materials. III. General solution to pole figure inversion, J. Appl. Phys., 36, 2024-2031, 1965.
    • (1965) J. Appl. Phys. , vol.36 , pp. 2024-2031
    • Roe, R.1
  • 33
    • 0000907755 scopus 로고
    • Zur Ableitung einer Fließbedingung
    • G. Sachs, Zur Ableitung einer Fließbedingung, Z. Verein Dt. Ing., 72, 734-736, 1928.
    • (1928) Z. Verein Dt. Ing. , vol.72 , pp. 734-736
    • Sachs, G.1
  • 34
    • 0001599306 scopus 로고
    • Über den Zusammenhang von Spannungen und Formänderungen im Verfestigungsgebiet
    • R. Schmidt, Über den Zusammenhang von Spannungen und Formänderungen im Verfestigungsgebiet. Ing.-Arch., 3, 215-235, 1932.
    • (1932) Ing.-Arch. , vol.3 , pp. 215-235
    • Schmidt, R.1
  • 35
    • 84976806770 scopus 로고
    • Minimization of unconstrained multivariate functions, algorithm 500
    • D. Shanno, K. Phua, Minimization of unconstrained multivariate functions, algorithm 500, ACM Transactions on Mathematical Software, 6, 618-622, 1980.
    • (1980) ACM Transactions on Mathematical Software , vol.6 , pp. 618-622
    • Shanno, D.1    Phua, K.2
  • 36
    • 0000649503 scopus 로고
    • Plastic strain in metals
    • G. Taylor, Plastic strain in metals, J. Inst. Metals, 62, 307-324, 1938,
    • (1938) J. Inst. Metals , vol.62 , pp. 307-324
    • Taylor, G.1
  • 37
    • 0003581254 scopus 로고    scopus 로고
    • Random heterogeneous materials: Microstructures and macroscopic properties
    • Springer
    • S. Torquato, Random heterogeneous materials: microstructures and macroscopic properties, Springer 2002.
    • (2002)
    • Torquato, S.1
  • 38
    • 0011187313 scopus 로고
    • Mémoire sur l'écoulement des corps solides
    • Mémoirs Par Divers Savants. 20, 75-135, 1972
    • H. Tresca, Mémoire sur l'écoulement des corps solides, Mémoirs Par Divers Savants., 18, 733, 1968, 20, 75-135, 1972.
    • (1968) , vol.18 , pp. 733
    • Tresca, H.1
  • 39
    • 0000556103 scopus 로고
    • Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper
    • W. Voigt, Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper, Wied. Ann., 38, 573-587, 1889.
    • (1889) Wied. Ann. , vol.38 , pp. 573-587
    • Voigt, W.1
  • 40
    • 0024886271 scopus 로고
    • The structure of overall constitutive relations of nonlinear composites
    • J. Willis, The structure of overall constitutive relations of nonlinear composites, IMA Journal of Applied Mathematics, 43, 231-242, 1989.
    • (1989) IMA Journal of Applied Mathematics , vol.43 , pp. 231-242
    • Willis, J.1
  • 41
    • 0028381778 scopus 로고
    • Upper and lower bounds for nonlinear composite behavior
    • J. Willis, Upper and lower bounds for nonlinear composite behavior, Mater. Sci. Engng., A 175, 7-14, 1994.
    • (1994) Mater. Sci. Engng. A , vol.175 , pp. 7-14
    • Willis, J.1
  • 42
    • 0035435227 scopus 로고    scopus 로고
    • Orientation distribution functions for microstructures of heterogeneous materials: II Crystal distribution functions and irreducible tensors restricted by various material symmetries
    • Q.-S. Zheng, Y.-B. Fu, Orientation distribution functions for microstructures of heterogeneous materials: II Crystal distribution functions and irreducible tensors restricted by various material symmetries, Appl. Math. Mech., 22, 8, 885-903, 2001.
    • (2001) Appl. Math. Mech. , vol.22 , Issue.8 , pp. 885-903
    • Zheng, Q.-S.1    Fu, Y.-B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.