메뉴 건너뛰기




Volumn 27, Issue 7, 2011, Pages 1126-1144

Complex unloading behavior: Nature of the deformation and its consistent constitutive representation

Author keywords

Constitutive model; Dual phase steels; Springback prediction; Unloading behavior; Young's modulus

Indexed keywords

ANELASTICITY; DISLOCATION PILEUP; DUAL-PHASE STEEL; FINITE ELEMENT PROGRAMS; FIRST ORDER; MODULUS REDUCTION; PLASTIC MODELS; PLASTIC PROPERTY; PLASTIC STRAINING; SPRING-BACK; SPRINGBACK PREDICTION; TENSILE DEFORMATION; THREE-DIMENSIONAL PROBLEMS; YOUNG'S MODULUS;

EID: 79955812738     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.12.003     Document Type: Article
Times cited : (203)

References (73)
  • 2
    • 77953642789 scopus 로고    scopus 로고
    • Elastic-plastic and inelastic characteristics of high strength steel sheets under biaxial loading and unloading
    • M.O. Andar, T. Kuwabara, S. Yonemura, and A. Uenishi Elastic-plastic and inelastic characteristics of high strength steel sheets under biaxial loading and unloading Isij International 50 2010 613 619
    • (2010) Isij International , vol.50 , pp. 613-619
    • Andar, M.O.1    Kuwabara, T.2    Yonemura, S.3    Uenishi, A.4
  • 3
    • 0003917316 scopus 로고
    • ASM ASM International
    • ASM ASM Metals Handbook vol. 14 1989 ASM International
    • (1989) ASM Metals Handbook , vol.14
  • 6
    • 23144465958 scopus 로고    scopus 로고
    • Continuous, large strain, tension/compression testing of sheet material
    • DOI 10.1016/j.ijplas.2004.12.002, PII S0749641905000410
    • R.K. Boger, R.H. Wagoner, F. Barlat, M.G. Lee, and K. Chung Continuous, large strain, tension/compression testing of sheet material International Journal of Plasticity 21 2005 2319 2343 (Pubitemid 41085221)
    • (2005) International Journal of Plasticity , vol.21 , Issue.12 , pp. 2319-2343
    • Boger, R.K.1    Wagoner, R.H.2    Barlat, F.3    Lee, M.G.4    Chung, K.5
  • 7
    • 0344496883 scopus 로고    scopus 로고
    • Pseudoelastic behaviour of cast magnesium AZ91 alloy under cyclic loading-unloading
    • C.H. Caceres, T. Sumitomo, and M. Veidt Pseudoelastic behaviour of cast magnesium AZ91 alloy under cyclic loading-unloading Acta Materialia 51 2003 6211 6218
    • (2003) Acta Materialia , vol.51 , pp. 6211-6218
    • Caceres, C.H.1    Sumitomo, T.2    Veidt, M.3
  • 9
    • 0022604479 scopus 로고
    • Time-independent constitutive theories for cyclic plasticity
    • DOI 10.1016/0749-6419(86)90010-0
    • J.L. Chaboche Time-independent constitutive theories for cyclic plasticity International Journal of Plasticity 2 1986 149 188 (Pubitemid 16566126)
    • (1986) International journal of plasticity , vol.2 , Issue.2 , pp. 149-188
    • Chaboche, J.L.1
  • 10
    • 0024863669 scopus 로고
    • Constitutive-equations for cyclic plasticity and cyclic viscoplasticity
    • J.L. Chaboche Constitutive-equations for cyclic plasticity and cyclic viscoplasticity International Journal of Plasticity 5 1989 247 302
    • (1989) International Journal of Plasticity , vol.5 , pp. 247-302
    • Chaboche, J.L.1
  • 11
    • 0036778892 scopus 로고    scopus 로고
    • Modeling the Bauschinger effect for sheet metals, part II: Applications
    • B.K. Chun, H.Y. Kim, and J.K. Lee Modeling the Bauschinger effect for sheet metals, part II: applications International Journal of Plasticity 18 2002 597 616
    • (2002) International Journal of Plasticity , vol.18 , pp. 597-616
    • Chun, B.K.1    Kim, H.Y.2    Lee, J.K.3
  • 12
    • 11144297716 scopus 로고    scopus 로고
    • Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions: Part I: Theory and formulation
    • DOI 10.1016/j.ijplas.2004.05.016, PII S0749641904000889
    • K. Chung, M.G. Lee, D. Kim, C.M. Kim, M.L. Wenner, and F. Barlat Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions - Part I: theory and formulation International Journal of Plasticity 21 2005 861 882 (Pubitemid 40034578)
    • (2005) International Journal of Plasticity , vol.21 , Issue.5 , pp. 861-882
    • Chung, K.1    Lee, M.-G.2    Kim, D.3    Kim, C.4    Wenner, M.L.5    Barlat, F.6
  • 15
    • 67651023707 scopus 로고    scopus 로고
    • On the modelling of the bending-unbending behaviour for accurate springback predictions
    • P.A. Eggertsen, and K. Mattiasson On the modelling of the bending-unbending behaviour for accurate springback predictions International Journal of Mechanical Sciences 51 2009 547 563
    • (2009) International Journal of Mechanical Sciences , vol.51 , pp. 547-563
    • Eggertsen, P.A.1    Mattiasson, K.2
  • 17
    • 33745493984 scopus 로고    scopus 로고
    • Experimental and numerical studies of springback in air v-bending process for cold rolled TRIP steels
    • DOI 10.1016/j.nucengdes.2006.01.016, PII S0029549306001336
    • D.Y. Fei, and P. Hodgson Experimental and numerical studies of springback in air v-bending process for cold rolled TRIP steels Nuclear Engineering and Design 236 2006 1847 1851 (Pubitemid 43963101)
    • (2006) Nuclear Engineering and Design , vol.236 , Issue.18 , pp. 1847-1851
    • Fei, D.1    Hodgson, P.2
  • 18
    • 0023862814 scopus 로고
    • A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable
    • DOI 10.1016/0001-6160(88)90030-2
    • P.S. Follansbee, and U.F. Kocks A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable Acta Metallurgica 36 1988 81 93 (Pubitemid 18626871)
    • (1988) Acta Metallurgica , vol.36 , Issue.1 , pp. 81-93
    • Follansbee, P.S.1    Kocks, U.F.2
  • 19
    • 0035427237 scopus 로고    scopus 로고
    • A new model for springback prediction in which the Bauschinger effect is considered
    • DOI 10.1016/S0020-7403(01)00012-1, PII S0020740301000121
    • J.T. Gau, and G.L. Kinzel A new model for springback prediction in which the Bauschinger effect is considered International Journal of Mechanical Sciences 43 2001 1813 1832 (Pubitemid 32544285)
    • (2001) International Journal of Mechanical Sciences , vol.43 , Issue.8 , pp. 1813-1832
    • Gau, J.-T.1    Kinzel, G.L.2
  • 20
  • 22
    • 0036142457 scopus 로고    scopus 로고
    • Role of plastic anisotropy and its evolution on springback
    • DOI 10.1016/S0020-7403(01)00085-6, PII S0020740301000856
    • L.M. Geng, and R.H. Wagoner Role of plastic anisotropy and its evolution on springback International Journal of Mechanical Sciences 44 2002 123 148 (Pubitemid 34065157)
    • (2002) International Journal of Mechanical Sciences , vol.44 , Issue.1 , pp. 123-148
    • Geng, L.1    Wagoner, R.H.2
  • 23
    • 79955833613 scopus 로고    scopus 로고
    • The effect of hardening model on springback prediction for a channel draw process
    • Interlaken Switzerland
    • A. Ghaei, A. Taherizadeh, and D.E. Green The effect of hardening model on springback prediction for a channel draw process Numisheet 2008 Interlaken Switzerland 485 488
    • (2008) Numisheet , pp. 485-488
    • Ghaei, A.1    Taherizadeh, A.2    Green, D.E.3
  • 24
    • 79955845340 scopus 로고    scopus 로고
    • GMNA, 2007. GMNA Materials Lab, 660 South Blvd, Pontiac, MI, USA.
    • GMNA, 2007. GMNA Materials Lab, 660 South Blvd, Pontiac, MI, USA.
  • 25
    • 67349249348 scopus 로고    scopus 로고
    • Prediction of elastic strain recovery of a formed steel sheet considering stiffness degradation
    • M. Halilovic, M. Vrh, and B. Stok Prediction of elastic strain recovery of a formed steel sheet considering stiffness degradation Meccanica 44 2009 321 338
    • (2009) Meccanica , vol.44 , pp. 321-338
    • Halilovic, M.1    Vrh, M.2    Stok, B.3
  • 28
    • 0003531591 scopus 로고
    • A Wiley-Interscience Publication JOHN WILEY & SONS New York, Chichester, Brisbane, Toronto, Singapore
    • J.P. Hirth, and J. Lothe Theory of dislocations 1982 A Wiley-Interscience Publication JOHN WILEY & SONS New York, Chichester, Brisbane, Toronto, Singapore
    • (1982) Theory of Dislocations
    • Hirth, J.P.1    Lothe, J.2
  • 30
    • 65849270475 scopus 로고    scopus 로고
    • Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part-I: A very low work hardening aluminum alloy (Al6061-J6511)
    • A.S. Khan, R. Kazmi, A. Pandey, and T. Stoughton Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part-I: A very low work hardening aluminum alloy (Al6061-J6511) International Journal of Plasticity 25 2009 1611 1625
    • (2009) International Journal of Plasticity , vol.25 , pp. 1611-1625
    • Khan, A.S.1    Kazmi, R.2    Pandey, A.3    Stoughton, T.4
  • 32
    • 78249250026 scopus 로고    scopus 로고
    • Advanced modeling of reverse loading effects for sheet metal forming processes
    • Interlaken Switzerland
    • W. Kubli, A. Krasovskyy, and M. Sester Advanced modeling of reverse loading effects for sheet metal forming processes Numisheet 2008 Interlaken Switzerland 479 484
    • (2008) Numisheet , pp. 479-484
    • Kubli, W.1    Krasovskyy, A.2    Sester, M.3
  • 33
    • 33947682814 scopus 로고    scopus 로고
    • A practical two-surface plasticity model and its application to spring-back prediction
    • DOI 10.1016/j.ijplas.2006.10.011, PII S074964190600146X
    • M.G. Lee, D. Kim, C. Kim, M.L. Wenner, R.H. Wagoner, and K.S. Chung A practical two-surface plasticity model and its application to spring-back prediction International Journal of Plasticity 23 2007 1189 1212 (Pubitemid 46498680)
    • (2007) International Journal of Plasticity , vol.23 , Issue.7 , pp. 1189-1212
    • Lee, M.-G.1    Kim, D.2    Kim, C.3    Wenner, M.L.4    Wagoner, R.H.5    Chung, K.6
  • 35
    • 0003038456 scopus 로고    scopus 로고
    • Simulation of Springback
    • Huetink, J.; Baaijens, F.P.T.; Balkema, A.; (Eds.)
    • Li, K.P.; Wagoner, R.H.; 1998. Simulation of Springback. In: Huetink, J.; Baaijens, F.P.T.; Balkema, A.; (Eds.), Simulation of Materials Processing. pp. 21-32.
    • (1998) Simulation of Materials Processing , pp. 21-32
    • Li, K.P.1    Wagoner, R.H.2
  • 36
    • 0037197381 scopus 로고    scopus 로고
    • Effect of the material-hardening mode on the springback simulation accuracy of V-free bending
    • DOI 10.1016/S0924-0136(02)00055-9, PII S0924013602000559
    • X.C. Li, Y.Y. Yang, Y.Z. Wang, J. Bao, and S.P. Li Effect of the material-hardening mode on the springback simulation accuracy of V-free bending Journal of Materials Processing Technology 123 2002 209 211 (Pubitemid 34405896)
    • (2002) Journal of Materials Processing Technology , vol.123 , Issue.2 , pp. 209-211
    • Li, X.1    Yang, Y.2    Wang, Y.3    Bao, J.4    Li, S.5
  • 39
    • 0000204834 scopus 로고    scopus 로고
    • On the necessity of taking into account the variation in the young modulus with plastic strain in elastic-plastic software
    • DOI 10.1016/0029-5493(95)01123-4
    • F. Morestin, and M. Boivin On the necessity of taking into account the variation in the Young modulus with plastic strain in elastic-plastic software Nuclear Engineering and Design 162 1996 107 116 (Pubitemid 126349415)
    • (1996) Nuclear Engineering and Design , vol.162 , Issue.1 , pp. 107-116
    • Morestin, F.1    Boivin, M.2
  • 40
    • 0029721043 scopus 로고    scopus 로고
    • Elasto plastic formulation using a kinematic hardening model for springback analysis in sheet metal forming
    • F. Morestin, M. Boivin, and C. Silva Elasto plastic formulation using a kinematic hardening model for springback analysis in sheet metal forming Journal of Materials Processing Technology 56 1996 619 630 (Pubitemid 126341223)
    • (1996) Journal of Materials Processing Technology , vol.56 , Issue.1-4 , pp. 619-630
    • Morestin, F.1    Boivin, M.2    Silva, C.3
  • 41
    • 0022736021 scopus 로고
    • A constitutive model of cyclic plasticity for nonlinear hardening materials
    • N. Ohno, and Y. Kachi A constitutive model of cyclic plasticity for nonlinear hardening materials Journal of Applied Mechanics - Transactions of the ASME 53 1986 395 403 (Pubitemid 16571323)
    • (1986) Journal of Applied Mechanics, Transactions ASME , vol.53 , Issue.2 , pp. 395-403
    • Ohno, N.1    Kachi, Y.2
  • 44
    • 33344475832 scopus 로고    scopus 로고
    • Study of the inelastic response of TRIP steels after plastic deformation
    • DOI 10.2355/isijinternational.45.1925
    • R. Perez, J.A. Benito, and J.M. Prado Study of the inelastic response of TRIP steels after plastic deformation Isij International 45 2005 1925 1933 (Pubitemid 43285422)
    • (2005) ISIJ International , vol.45 , Issue.12 , pp. 1925-1933
    • Perez, R.1    Benito, J.A.2    Prado, J.M.3
  • 46
    • 0019899068 scopus 로고
    • A combination of 3rd-order elastic-constants of aluminum
    • B.E. Powell, and M.J. Skove A combination of 3rd-order elastic-constants of aluminum Journal of Applied Physics 53 1982 764 765
    • (1982) Journal of Applied Physics , vol.53 , pp. 764-765
    • Powell, B.E.1    Skove, M.J.2
  • 48
    • 77957981550 scopus 로고    scopus 로고
    • A plastic constitutive equation incorporating strain, strain-rate and temperature
    • J.H. Sung, J.H. Kim, and R.H. Wagoner A plastic constitutive equation incorporating strain, strain-rate and temperature International Journal of Plasticity 26 2010 1746 1771
    • (2010) International Journal of Plasticity , vol.26 , pp. 1746-1771
    • Sung, J.H.1    Kim, J.H.2    Wagoner, R.H.3
  • 49
    • 67349225773 scopus 로고    scopus 로고
    • Finite element simulation of springback for a channel draw process with drawbead using different hardening models
    • A. Taherizadeh, A. Ghaei, D.E. Green, and W.J. Altenhof Finite element simulation of springback for a channel draw process with drawbead using different hardening models International Journal of Mechanical Sciences 51 2009 314 325
    • (2009) International Journal of Mechanical Sciences , vol.51 , pp. 314-325
    • Taherizadeh, A.1    Ghaei, A.2    Green, D.E.3    Altenhof, W.J.4
  • 50
    • 73049083117 scopus 로고    scopus 로고
    • Springback investigation of anisotropic aluminum alloy sheet with a mixed hardening rule and Barlat yield criteria in sheet metal forming
    • B.T. Tang, X.Y. Lu, Z.Q. Wang, and Z. Zhao Springback investigation of anisotropic aluminum alloy sheet with a mixed hardening rule and Barlat yield criteria in sheet metal forming Materials & Design 31 2010 2043 2050
    • (2010) Materials & Design , vol.31 , pp. 2043-2050
    • Tang, B.T.1    Lu, X.Y.2    Wang, Z.Q.3    Zhao, Z.4
  • 51
    • 0020765807 scopus 로고
    • Simple plasticity model of 2-surface type
    • N.T. Tseng, and G.C. Lee Simple plasticity model of 2-surface type Journal of Engineering Mechanics-ASCE 109 1983 795 810 (Pubitemid 13542452)
    • (1983) Journal of Engineering Mechanics , vol.109 , Issue.3 , pp. 795-810
    • Tseng, N.T.1    Lee, G.C.2
  • 53
    • 0000229884 scopus 로고
    • The Relationship between stress and strain for homogeneous deformation
    • E. Voce The Relationship between stress and strain for homogeneous deformation Journal of Inst. Met 74 1948 537 562
    • (1948) Journal of Inst. Met , vol.74 , pp. 537-562
    • Voce, E.1
  • 54
  • 56
    • 33751546947 scopus 로고    scopus 로고
    • Simulation of springback: Through-thickness integration
    • DOI 10.1016/j.ijplas.2006.04.005, PII S0749641906001100
    • R.H. Wagoner, and M. Li Simulation of springback: through-thickness integration International Journal of Plasticity 23 2007 345 360 (Pubitemid 44839133)
    • (2007) International Journal of Plasticity , vol.23 , Issue.3 , pp. 345-360
    • Wagoner, R.H.1    Li, M.2
  • 63
    • 0036206997 scopus 로고    scopus 로고
    • A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation
    • F. Yoshida, and T. Uemori A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation International Journal of Plasticity 18 2002 661 686
    • (2002) International Journal of Plasticity , vol.18 , pp. 661-686
    • Yoshida, F.1    Uemori, T.2
  • 64
    • 79952568342 scopus 로고    scopus 로고
    • A model of large-strain cyclic plasticity and its application to springback simulation
    • Trans Tech Publications Ltd. Zurich-Uetikon
    • F. Yoshida, and T. Uemori A model of large-strain cyclic plasticity and its application to springback simulation Engineering Plasticity from Macroscale to Nanoscale Pts 1 and 2 vol. 233-2 2003 Trans Tech Publications Ltd. Zurich-Uetikon 47 58
    • (2003) Engineering Plasticity from Macroscale to Nanoscale Pts 1 and 2 , vol.2332 , pp. 47-58
    • Yoshida, F.1    Uemori, T.2
  • 65
    • 1342347339 scopus 로고    scopus 로고
    • A model of large-strain cyclic plasticity and its application to springback simulation
    • F. Yoshida, and T. Uemori A model of large-strain cyclic plasticity and its application to springback simulation International Journal of Mechanical Sciences 45 2003 1687 1702
    • (2003) International Journal of Mechanical Sciences , vol.45 , pp. 1687-1702
    • Yoshida, F.1    Uemori, T.2
  • 66
    • 0036778914 scopus 로고    scopus 로고
    • Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain
    • F. Yoshida, T. Uemori, and K. Fujiwara Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain International Journal of Plasticity 18 2002 633 659
    • (2002) International Journal of Plasticity , vol.18 , pp. 633-659
    • Yoshida, F.1    Uemori, T.2    Fujiwara, K.3
  • 67
    • 57149098230 scopus 로고    scopus 로고
    • Variation of elastic modulus during plastic deformation and its influence on springback
    • H.Y. Yu Variation of elastic modulus during plastic deformation and its influence on springback Materials & Design 30 2009 846 850
    • (2009) Materials & Design , vol.30 , pp. 846-850
    • Yu, H.Y.1
  • 68
    • 34247386800 scopus 로고    scopus 로고
    • A constitutive model for spring-back prediction in which the change of Young's modulus with plastic deformation is considered
    • DOI 10.1016/j.ijmachtools.2007.01.003, PII S0890695507000272
    • S.L. Zang, J. Liang, and C. Guo A constitutive model for spring-back prediction in which the change of Young's modulus with plastic deformation is considered International Journal of Machine Tools & Manufacture 47 2007 1791 1797 (Pubitemid 46634973)
    • (2007) International Journal of Machine Tools and Manufacture , vol.47 , Issue.11 , pp. 1791-1797
    • Zang, S.L.1    Liang, J.2    Guo, C.3
  • 69
    • 70350094672 scopus 로고    scopus 로고
    • Spatio-temporal characteristics of the Portevin-Le Chatelier effect in austenitic steel with twinning induced plasticity
    • P.D. Zavattieri, V. Savic, L.G. Hector, J.R. Fekete, W. Tong, and Y. Xuan Spatio-temporal characteristics of the Portevin-Le Chatelier effect in austenitic steel with twinning induced plasticity International Journal of Plasticity 25 2009 2298 2330
    • (2009) International Journal of Plasticity , vol.25 , pp. 2298-2330
    • Zavattieri, P.D.1    Savic, V.2    Hector, L.G.3    Fekete, J.R.4    Tong, W.5    Xuan, Y.6
  • 72
    • 77952102992 scopus 로고    scopus 로고
    • Kinking nonlinear elastic deformation of Ti3AlC2, Ti2AlC, Ti3Al(C-0. 5,N-0.5)(2) and Ti2Al(C-0.5,N-0.5)
    • A.G. Zhou, and M.W. Barsoum Kinking nonlinear elastic deformation of Ti3AlC2, Ti2AlC, Ti3Al(C-0. 5,N-0.5)(2) and Ti2Al(C-0.5,N-0.5) Journal of Alloys and Compounds 498 2010 62 70
    • (2010) Journal of Alloys and Compounds , vol.498 , pp. 62-70
    • Zhou, A.G.1    Barsoum, M.W.2
  • 73
    • 36248986116 scopus 로고    scopus 로고
    • Kinking nonlinear elasticity, damping and microyielding of hexagonal close-packed metals
    • DOI 10.1016/j.actamat.2007.08.050, PII S1359645407006027
    • A.G. Zhou, S. Basu, and M.W. Barsoum Kinking nonlinear elasticity, damping and microyielding of hexagonal close-packed metals Acta Materialia 56 2008 60 67 (Pubitemid 350123101)
    • (2008) Acta Materialia , vol.56 , Issue.1 , pp. 60-67
    • Zhou, A.G.1    Basu, S.2    Barsoum, M.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.