메뉴 건너뛰기




Volumn 25, Issue 9, 2009, Pages 1684-1710

Stress integration method for a nonlinear kinematic/isotropic hardening model and its characterization based on polycrystal plasticity

Author keywords

Anisotropy; Backward Euler method; Nonlinear kinematic hardening; Polycrystal plasticity; Springback

Indexed keywords

ALUMINUM ALLOY SHEET; BACKWARD-EULER METHOD; BAUSCHINGER EFFECTS; DEVELOPED MODEL; EULER METHOD; HARDENING MODEL; KINEMATIC HARDENING; KINEMATIC HARDENING MODEL; MATERIAL COEFFICIENTS; NON-QUADRATIC ANISOTROPIC YIELD FUNCTION; NONLINEAR KINEMATIC HARDENING; POLYCRYSTAL PLASTICITY; SOFTENING BEHAVIOR; SPRINGBACK; SPRINGBACK PREDICTION; STRAIN PATHS; STRESS INTEGRATION; TENSION AND COMPRESSION; TENSION-COMPRESSION;

EID: 67349226078     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.09.007     Document Type: Article
Times cited : (50)

References (72)
  • 1
    • 0002411526 scopus 로고
    • A Mathematical Representation of the Multiaxial Bauschinger Effect. G.E.G.B
    • Amstrong, P.J., Frederick, C.O., 1966. A Mathematical Representation of the Multiaxial Bauschinger Effect. G.E.G.B. Report RD/B/N 731.
    • (1966) Report RD/B/N , vol.731
    • Amstrong, P.J.1    Frederick, C.O.2
  • 3
    • 0024775634 scopus 로고
    • Plastic behaviour and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions
    • Barlat F., and Lian J. Plastic behaviour and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions. International Journal of Plasticity 5 (1989) 51-66
    • (1989) International Journal of Plasticity , vol.5 , pp. 51-66
    • Barlat, F.1    Lian, J.2
  • 7
    • 0022542699 scopus 로고
    • An implicit and incremental formulation for the solution of elastoplastic problems by the finite element method
    • Braudel H.J., Abouaf M., and Chenot J.L. An implicit and incremental formulation for the solution of elastoplastic problems by the finite element method. Computers and Structures 22 (1986) 801-814
    • (1986) Computers and Structures , vol.22 , pp. 801-814
    • Braudel, H.J.1    Abouaf, M.2    Chenot, J.L.3
  • 8
    • 0347600769 scopus 로고    scopus 로고
    • A yield function for anisotropic materials. Application to aluminium alloys
    • Bron F., and Besson J. A yield function for anisotropic materials. Application to aluminium alloys. International Journal of Plasticity 20 (2004) 937-963
    • (2004) International Journal of Plasticity , vol.20 , pp. 937-963
    • Bron, F.1    Besson, J.2
  • 9
    • 62249105200 scopus 로고    scopus 로고
    • Experimental and numerical investigation of combined isotropic-kinematic hardening behavior of sheet metals
    • 10.1016/j.ijplas.2008.04.007
    • Cao J., Lee W., Cheng H.S., Seniw M., Wang H.P., and Chung K. Experimental and numerical investigation of combined isotropic-kinematic hardening behavior of sheet metals. International Journal of Plasticity (2008) 10.1016/j.ijplas.2008.04.007
    • (2008) International Journal of Plasticity
    • Cao, J.1    Lee, W.2    Cheng, H.S.3    Seniw, M.4    Wang, H.P.5    Chung, K.6
  • 11
    • 0035576780 scopus 로고    scopus 로고
    • Generalization of Drucker's yield criterion to orthotropy
    • Cazacu O., and Barlat F. Generalization of Drucker's yield criterion to orthotropy. Mathematics and Mechanics of Solids 6 (2001) 613-630
    • (2001) Mathematics and Mechanics of Solids , vol.6 , pp. 613-630
    • Cazacu, O.1    Barlat, F.2
  • 12
    • 33644501136 scopus 로고    scopus 로고
    • Orthotropic yield criterion for hexagonal closed packed metals
    • Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal closed packed metals. International Journal of Plasticity 22 7 (2006) 1171-1194
    • (2006) International Journal of Plasticity , vol.22 , Issue.7 , pp. 1171-1194
    • Cazacu, O.1    Plunkett, B.2    Barlat, F.3
  • 13
    • 0022604479 scopus 로고
    • Time independent constitutive theories for cyclic plasticity
    • Chaboche J.L. Time independent constitutive theories for cyclic plasticity. International Journal of Plasticity 2 (1986) 149
    • (1986) International Journal of Plasticity , vol.2 , pp. 149
    • Chaboche, J.L.1
  • 14
    • 0026366839 scopus 로고
    • On the modifications of kinematic hardening to improve the description of Ratchetting effects
    • Chaboche J.L. On the modifications of kinematic hardening to improve the description of Ratchetting effects. International Journal of Plasticity 7 (1991) 661
    • (1991) International Journal of Plasticity , vol.7 , pp. 661
    • Chaboche, J.L.1
  • 16
    • 0000422926 scopus 로고
    • Ideal forming-I. Homogeneous deformation with minimum plastic work
    • Chung K., and Richmond O. Ideal forming-I. Homogeneous deformation with minimum plastic work. International Journal of Mechanical Sciences 34 (1992) 575-591
    • (1992) International Journal of Mechanical Sciences , vol.34 , pp. 575-591
    • Chung, K.1    Richmond, O.2
  • 18
    • 0027873397 scopus 로고
    • A deformation theory of plasticity based on minimum work paths
    • Chung K., and Richmond O. A deformation theory of plasticity based on minimum work paths. International Journal of Plasticity 9 (1993) 907-926
    • (1993) International Journal of Plasticity , vol.9 , pp. 907-926
    • Chung, K.1    Richmond, O.2
  • 19
    • 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
    • Chung K., Lee M.G., Kim D., Kim C., Wenner M.L., and Barlat F. 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
    • (2005) International Journal of Plasticity , vol.21 , pp. 861-882
    • Chung, K.1    Lee, M.G.2    Kim, D.3    Kim, C.4    Wenner, M.L.5    Barlat, F.6
  • 20
    • 0017269081 scopus 로고
    • Plastic internal variables formalism of cyclic plasticity
    • Dafalias Y.F., and Popov E.P. Plastic internal variables formalism of cyclic plasticity. Journal of Applied Mechanics 98 (1976) 645-651
    • (1976) Journal of Applied Mechanics , vol.98 , pp. 645-651
    • Dafalias, Y.F.1    Popov, E.P.2
  • 21
    • 0030169224 scopus 로고    scopus 로고
    • Localized deformation modes and non-Schmid effects in crystalline solids. Part I. Critical conditions of localization
    • Dao M., and Asaro R.J. Localized deformation modes and non-Schmid effects in crystalline solids. Part I. Critical conditions of localization. Mechanics of Materials 23 (1996) 71-102
    • (1996) Mechanics of Materials , vol.23 , pp. 71-102
    • Dao, M.1    Asaro, R.J.2
  • 23
    • 33751530977 scopus 로고    scopus 로고
    • Model identification and FE simulations: effect of different yield loci and hardening laws in sheet forming
    • Duflou J., and Habraken A.M. Model identification and FE simulations: effect of different yield loci and hardening laws in sheet forming. International Journal of Plasticity 23 (2007) 420-449
    • (2007) International Journal of Plasticity , vol.23 , pp. 420-449
    • Duflou, J.1    Habraken, A.M.2
  • 24
    • 0012552553 scopus 로고    scopus 로고
    • Kluwer Academic Publishers, Amsterdam
    • Gambin W. Plasticity and Texture (2001), Kluwer Academic Publishers, Amsterdam
    • (2001) Plasticity and Texture
    • Gambin, W.1
  • 25
  • 27
    • 33847660923 scopus 로고    scopus 로고
    • Investigation of advanced strain-path dependent material models for sheet metal forming simulations
    • Haddag B., Balan T., and Meraim F.A. Investigation of advanced strain-path dependent material models for sheet metal forming simulations. International Journal of Plasticity 23 (2007) 951-979
    • (2007) International Journal of Plasticity , vol.23 , pp. 951-979
    • Haddag, B.1    Balan, T.2    Meraim, F.A.3
  • 28
    • 85143537652 scopus 로고
    • The plasticity of an isotropic aggregate of anisotropic face centered cubic crystals
    • Hershey A.V. The plasticity of an isotropic aggregate of anisotropic face centered cubic crystals. Journal of Applied Mechanics Transactions ASME 21 (1954) 241
    • (1954) Journal of Applied Mechanics Transactions ASME , vol.21 , pp. 241
    • Hershey, A.V.1
  • 29
    • 0001297082 scopus 로고
    • A theory of the yielding and plastic flow of anisotropic metals
    • Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society of London A193 (1948) 281
    • (1948) Proceedings of the Royal Society of London , vol.A193 , pp. 281
    • Hill, R.1
  • 31
  • 33
    • 0027884665 scopus 로고
    • A general anisotropic yield criterion using bonds and a transformation weighting tensor
    • Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bonds and a transformation weighting tensor. Journal of Mechanics and Physics of Solids 41 (1993) 1859-1886
    • (1993) Journal of Mechanics and Physics of Solids , vol.41 , pp. 1859-1886
    • Karafillis, A.P.1    Boyce, M.C.2
  • 36
    • 0016556829 scopus 로고
    • A practical two surface plasticity theory
    • Krieg R.D. A practical two surface plasticity theory. Journal of Applied Mechanics 42 (1975) 641
    • (1975) Journal of Applied Mechanics , vol.42 , pp. 641
    • Krieg, R.D.1
  • 37
    • 0003134014 scopus 로고    scopus 로고
    • An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process
    • Lee S.W., and Yang D.Y. An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process. Journal of Materials Processing Technology 80-81 (1998) 60-67
    • (1998) Journal of Materials Processing Technology , vol.80-81 , pp. 60-67
    • Lee, S.W.1    Yang, D.Y.2
  • 38
    • 11144346167 scopus 로고    scopus 로고
    • Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part II: characterization of material properties
    • Lee M.G., Kim D., Kim C., Wenner M.L., Wagoner R.H., and Chung K. Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part II: characterization of material properties. International Journal of Plasticity 21 (2005) 883-914
    • (2005) International Journal of Plasticity , vol.21 , pp. 883-914
    • Lee, M.G.1    Kim, D.2    Kim, C.3    Wenner, M.L.4    Wagoner, R.H.5    Chung, K.6
  • 39
    • 11144344968 scopus 로고    scopus 로고
    • Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part III: applications
    • Lee M.G., Kim D., Kim C., Wenner M.L., and Chung K. Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part III: applications. International Journal of Plasticity 21 (2005) 915-953
    • (2005) International Journal of Plasticity , vol.21 , pp. 915-953
    • Lee, M.G.1    Kim, D.2    Kim, C.3    Wenner, M.L.4    Chung, K.5
  • 41
    • 0003038456 scopus 로고    scopus 로고
    • Simulation of springback
    • Huetink J., Baaijens F.P.T., and Bakema A.A. (Eds), Rotterdam, Netherlands
    • Li K., and Wagoner R.H. Simulation of springback. In: Huetink J., Baaijens F.P.T., and Bakema A.A. (Eds). Simulation of Materials Processing (1998), Rotterdam, Netherlands 21-32
    • (1998) Simulation of Materials Processing , pp. 21-32
    • Li, K.1    Wagoner, R.H.2
  • 42
    • 0019213092 scopus 로고
    • Upper-bond anisotropic yield locus calculations assuming 〈1 1 1〉 pencil glide
    • Logan R.W., and Hosford W.F. Upper-bond anisotropic yield locus calculations assuming 〈1 1 1〉 pencil glide. International Journal of Mechanical Sciences 22 (1980) 419
    • (1980) International Journal of Mechanical Sciences , vol.22 , pp. 419
    • Logan, R.W.1    Hosford, W.F.2
  • 43
    • 0022078268 scopus 로고
    • A two surface model for transient nonproportional cyclic plasticity. Part I: development of appropriate equations
    • McDowell D.L. A two surface model for transient nonproportional cyclic plasticity. Part I: development of appropriate equations. ASME Journal of Applied Mechanics 52 (1985) 298
    • (1985) ASME Journal of Applied Mechanics , vol.52 , pp. 298
    • McDowell, D.L.1
  • 44
    • 0024775542 scopus 로고
    • Evaluation of intersection conditions for two surface plasticity theory
    • McDowell D.L. Evaluation of intersection conditions for two surface plasticity theory. International Journal of Plasticity 5 (1989) 29-50
    • (1989) International Journal of Plasticity , vol.5 , pp. 29-50
    • McDowell, D.L.1
  • 45
    • 49949145407 scopus 로고
    • On the description of anisotropic work hardening
    • Mrós Z. On the description of anisotropic work hardening. Journal of Mechanics and Physics Solids 15 (1967) 163
    • (1967) Journal of Mechanics and Physics Solids , vol.15 , pp. 163
    • Mrós, Z.1
  • 46
    • 67349163631 scopus 로고    scopus 로고
    • MSC.Marc and MSC.Mentat, version 2005, A: Theory and User Information and B: Element Library, MSC.Software Corporation, Santa Ana, California, USA.
    • MSC.Marc and MSC.Mentat, version 2005, Volume A: Theory and User Information and Volume B: Element Library, MSC.Software Corporation, Santa Ana, California, USA.
  • 49
    • 0040145451 scopus 로고
    • Global analysis methods for the solution of elastoplastic and viscoplastic dynamic problems
    • 81/08, Dept. Civil Eng, University of California, Berkley
    • Ortiz, M., Pinsky, P.M., 1981. Global analysis methods for the solution of elastoplastic and viscoplastic dynamic problems. Report UCB/SESM 81/08, Dept. Civil Eng., University of California, Berkley.
    • (1981) Report UCB/SESM
    • Ortiz, M.1    Pinsky, P.M.2
  • 52
    • 0029266207 scopus 로고
    • Prediction of spring-back and side-wall curl in 2-D draw bending
    • Pourboghrat F., and Chu E. Prediction of spring-back and side-wall curl in 2-D draw bending. Journal of Materials Processing Technology 50 1-4 (1995) 361-374
    • (1995) Journal of Materials Processing Technology , vol.50 , Issue.1-4 , pp. 361-374
    • Pourboghrat, F.1    Chu, E.2
  • 53
    • 85143741003 scopus 로고
    • A new method of analyzing stresses and strains in work-hardening plastic solids
    • Prager W. A new method of analyzing stresses and strains in work-hardening plastic solids. Journal of Applied Mechanics 23 (1956) 493
    • (1956) Journal of Applied Mechanics , vol.23 , pp. 493
    • Prager, W.1
  • 59
    • 0022900517 scopus 로고
    • A rigid-plastic finite element calculation for the analysis of general deformation of planar anisotropic sheet metals and its application
    • Yang D.Y., and Kim Y.J. A rigid-plastic finite element calculation for the analysis of general deformation of planar anisotropic sheet metals and its application. International Journal of Mechanical Sciences 28 (1986) 825-840
    • (1986) International Journal of Mechanical Sciences , vol.28 , pp. 825-840
    • Yang, D.Y.1    Kim, Y.J.2
  • 60
    • 58149364307 scopus 로고
    • Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system
    • Yoon J.W., Song I.S., Yang D.Y., Chung K., and Barlat F. Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system. International Journal of Mechanical Sciences 37 (1995) 733-752
    • (1995) International Journal of Mechanical Sciences , vol.37 , pp. 733-752
    • Yoon, J.W.1    Song, I.S.2    Yang, D.Y.3    Chung, K.4    Barlat, F.5
  • 61
    • 23144463880 scopus 로고    scopus 로고
    • Anisotropic strain hardening behavior in simple shear for cube textured aluminum alloy sheets
    • Yoon J.W., Barlat F., Grácio J.J., and Rauch E. Anisotropic strain hardening behavior in simple shear for cube textured aluminum alloy sheets. International Journal of Plasticity 21 (2005) 2426-2447
    • (2005) International Journal of Plasticity , vol.21 , pp. 2426-2447
    • Yoon, J.W.1    Barlat, F.2    Grácio, J.J.3    Rauch, E.4
  • 62
    • 0344033822 scopus 로고    scopus 로고
    • Plane stress yield function for aluminum alloy sheets. Part II: FE formulation and its implementation
    • Yoon J.W., Barlat F., Dick R.E., Chung K., and Kang T.J. Plane stress yield function for aluminum alloy sheets. Part II: FE formulation and its implementation. International Journal of Plasticity 20 (2004) 495
    • (2004) International Journal of Plasticity , vol.20 , pp. 495
    • Yoon, J.W.1    Barlat, F.2    Dick, R.E.3    Chung, K.4    Kang, T.J.5
  • 63
    • 0036819708 scopus 로고    scopus 로고
    • Springback prediction for sheet metal forming process using a 3D hybrid membrane/shell method
    • Yoon J.W., Pourboghrat F., Chung K., and Yang D.Y. Springback prediction for sheet metal forming process using a 3D hybrid membrane/shell method. International Journal of Mechanical Sciences 44 10 (2002) 2133-2153
    • (2002) International Journal of Mechanical Sciences , vol.44 , Issue.10 , pp. 2133-2153
    • Yoon, J.W.1    Pourboghrat, F.2    Chung, K.3    Yang, D.Y.4
  • 64
    • 0032673203 scopus 로고    scopus 로고
    • Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials
    • Yoon J.W., Yang D.Y., and Chung K. Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials. Computer Methods in Applied Mechanics and Engineering 174 (1999) 23
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.174 , pp. 23
    • Yoon, J.W.1    Yang, D.Y.2    Chung, K.3
  • 65
    • 0033887894 scopus 로고    scopus 로고
    • A constitutive model of cyclic plasticity
    • Yoshida F. A constitutive model of cyclic plasticity. International Journal of Plasticity 16 (2000) 359-380
    • (2000) International Journal of Plasticity , vol.16 , pp. 359-380
    • Yoshida, F.1
  • 66
    • 0036206997 scopus 로고    scopus 로고
    • A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation
    • Yoshida F., and Uemori T. 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
  • 67
    • 0036778914 scopus 로고    scopus 로고
    • Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain
    • Yoshida F., Uemori T., and Fujiwara K. 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
  • 68
    • 1342347339 scopus 로고    scopus 로고
    • A model of large-strain cyclic plasticity and its application to springback simulation
    • Yoshida F., and Uemori T. 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
  • 69
    • 33751546947 scopus 로고    scopus 로고
    • Simulation of springback: through-thickness integration
    • Wagoner R.H., and Li M. Simulation of springback: through-thickness integration. International Journal of Plasticity 23 (2007) 345-360
    • (2007) International Journal of Plasticity , vol.23 , pp. 345-360
    • Wagoner, R.H.1    Li, M.2
  • 70
    • 0000187771 scopus 로고
    • Calculation of elastic-plastic flow
    • Alder B., et al. (Ed), Academic Press, New York
    • Wilkins M.L. Calculation of elastic-plastic flow. In: Alder B., et al. (Ed). Methods of Comp. Physics vol. 3 (1964), Academic Press, New York
    • (1964) Methods of Comp. Physics , vol.3
    • Wilkins, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.