On the plastic anisotropy of an aluminium alloy and its influence on constrained multiaxial flow

International Journal of Plasticity

Volumn 27, Issue 12, 2011, Pages 2005-2025

  Fourmeau, M ^a,b   Borvik T ^a,c   Benallal, A ^b   Lademo, O G ^a,d   Hopperstad, O S ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b CNRS   (France)

^c NORWEGIAN DEFENCE RESEARCH ESTABLISHMENT FFI   (Norway)

^d SINTEF MATERIALS AND CHEMISTRY   (Norway)

Author keywords

B. Anisotropic material; B. Metallic material; C. Finite elements; C. Mechanical testing

Indexed keywords

ACCURATE PREDICTION; ALUMINIUM PLATES; ANISOTROPIC MATERIAL; ANISOTROPIC YIELD FUNCTIONS; C. FINITE ELEMENTS; CONSTITUTIVE RELATIONS; ELASTO-PLASTIC MATERIAL MODELS; HIGH-STRENGTH; MATERIAL MODELS; MATERIAL TESTS; MECHANICAL BEHAVIOUR; MECHANICAL RESPONSE; METALLIC MATERIAL; MULTIAXIAL; NUMERICAL PREDICTIONS; OVER-ESTIMATION; PLASTIC ANISOTROPY; QUASI-STATIC LOADING; ROLLING DIRECTION; SHEAR TESTS; STRESS STATE; TENSILE TESTS; UNIAXIAL TENSILE TEST; UPSETTING TESTS; YIELD FUNCTION; YIELD SURFACE;

ALUMINUM; COMPUTER SIMULATION; FORECASTING; MATERIALS; MECHANICAL ENGINEERING; TENSILE TESTING; TESTING;

ANISOTROPY;

EID: 80053587369     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.05.017     Document Type: Conference Paper

References (45)

1. T.L. Anderson Fracture Mechanics (Fundamentals and Applications) 1991 CRC Press
2. H. Aretz, O.S. Hopperstad, and O.G. Lademo Yield function calibration for orthotropic sheet metals based on uniaxial and plane strain tensile tests Journal of Materials Processing Technology 186 2007 221 235 (Pubitemid 46330735)
3. M. Arminjon, and B. Bacroix On plastic potentials for anisotropic metals and their derivation from the texture function Acta Mechanica 88 1991 219 243 (Pubitemid 21707906)
4. M. Arminjon, B. Bacroix, D. Imbault, and J.L. Raphanel A fourth-order plastic potential for anisotropic metals and its analytical calculation from the texture function Acta Mechanica 107 1994 33 51
5. Y. Bai, and T. Wierzbicki A new metal plasticity and fracture with pressure and lode dependence International Journal of Plasticity 24 2008 1071 1096 (Pubitemid 351400629)
6. Y. Bao, and T. Wierzbicki On fracture locus in the equivalent strain and stress triaxiality space International Journal of Mechanical Sciences 46 2004 81 98
7. F. Barlat, D. Lege, and J.C. Brem Six-component yield function for anisotropic materials International Journal of Plasticity 7 1991 693 712
8. F. Barlat, and K. Chung Anisotropic potentials for plastically deformation metals Modelling and Simulation in Material Science and Engineering 1 1993 403 416
9. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghrat, S.-H. Choi, and E. Chu Plane stress yield function for aluminum alloy sheets - Part 1: theory International Journal of Plasticity 19 2003 1297 1319
10. F. Barlat, H. Aretz, J.W. Yoon, M.E. Karabin, J.C. Brem, and R.E. Dick Linear transformation-based anisotropic yield functions International Journal of Plasticity 21 2005 1009 1039 (Pubitemid 40034583)
11. T. Belytschko, W.K. Liu, and B. Moran Nonlinear Finite Elements for Continua and Structures 2000 John Wiley & Sons, Ltd. Chichester, England
12. F. Bron, and J. Besson A yield function for anisotropic materials - application to aluminum alloys International Journal of Plasticity 20 2004 937 963
13. A. Brownrigg, W.A. Spitzig, O. Richmond, D. Teirlinck, and J.D. Embury The influence of hydrostatic pressure on the flow stress and ductility of a spherodized 1045 steel Acta Metallurgica 31 1983 1141 1150 (Pubitemid 13608796)
14. M. Brünig Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids International Journal of Plasticity 15 1999 1237 1264 (Pubitemid 30509377)
15. T. Børvik, O.S. Hopperstad, and K.O. Pedersen Quasi-brittle fracture during structural impact of AA7075-T651 aluminium plates International Journal of Impact Engineering 37 2010 537 551
16. Y. Chen, K.O. Pedersen, A.H. Clausen, and O.S. Hopperstad An experimental study on the dynamic fracture of extruded AA6xxx and AA7xxx aluminium alloys Materials Science and Engineering A 523 2009 253 262
17. Y. Choi, C.S. Han, J.K. Lee, and R.H. Wagoner Modelling multiaxial deformation of planar anisotropic elasto-plastic materials, part I: Theory International Journal of Plasticity 22 2006 1745 1764
18. M. Darrieulat, and F. Montheillet A texture based continuum approach for predicting the plastic behaviour of rolled sheet International Journal of Plasticity 19 2003 517 546 (Pubitemid 35437408)
19. Eriksson, M., Lademo, O.G., Hopperstad, O.S., 2006. Development and use of in-plane shear tests to identify ductile failure parameters of aluminium alloys. In: Proceedings of 9th International Conference on Material Forming (ESAFORM-2006), Glasgow, pp. 331-334.
20. A.D. Freed, and B.I. Sandor The plastic compressibility of 7075-T651 aluminum-alloy plate Experimental Mechanics 26 1985 119 121
21. F. Grytten Evaluation of identification methods for Yld2004-18p International Journal of Plasticity 14 2008 2248 2277
22. R. Hill A theory of the yielding and plastic flow of anisotropic metals Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 193 1948 281 297
23. R. Hill Theoretical plasticity of textured aggregates Mathematical Proceedings of the Cambridge Philosophical Society b85 1979 179 191
24. R. Hill Constitutive dual potentials in classical plasticity Journal of Mechanics and Physics of Solids 35 1987 22 33
25. R. Hill Constitutive modelling of orthotropic plasticity in sheet metals Journal of the Mechanics and Physics of Solids 38 1990 405 417
26. W.F. Hosford A generalized isotropic yield criterion Journal of Applied Mechanics 39 1972 607 609
27. W.F. Hosford On the crystallographic basis of yield criteria Textures and Microstructures 26-27 1996 479 493
28. W. Hu Constitutive modeling of orthotropic sheet metals by presenting hardening-induced anisotropy International Journal of Plasticity 23 2007 620 639 (Pubitemid 46026909)
29. A.P. Karafillis, and M.C. Boyce A general anisotropic yield criterion using bounds and a transformation weighting tensor Journal of Mechanics and Physics of Solids 41 1993 1859 1886
30. D. Kim, F. Barlat, S. Bouvier, M. Rabahallah, T. Balan, and K. Chung Non-quadratic anisotropic potential based on linear transformation of plastic strain rate International Journal of Plasticity 23 2007 1380 1399 (Pubitemid 46660461)
31. A.G. Leacock A mathematical description of orthotropy in sheet metals Journal of the Mechanics and Physics of Solids 54 2006 425 444 (Pubitemid 41780907)
32. A.B. Lopes, F. Barlat, J.J. Gracio, J.F. Ferreira Duarte, and E.F. Rauch Effect of texture and microstructure on strain hardening anisotropy for aluminium deformed in uniaxial tension and simple shear International Journal of Plasticity 19 2003 1 22 (Pubitemid 35264301)
33. LSTC, LS-DYNA Keyword User's Manual, Version 971, 2007. Livermore Software Technology Corporation, California.
34. V. Monchiet, O. Cazacu, E. Charkaluk, and D. Kondo Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids International Journal of Plasticity 24 2008 1158 1189 (Pubitemid 351626438)
35. K.O. Pedersen, T. Børvik, and O.S. Hopperstad Fracture mechanisms of aluminium alloy AA7075-T651 under various loading conditions Material and Design 32 2011 97 107
36. O. Richmond, and W.A. Spitzig Pressure dependence and dilatancy of plastic flow Theoretical and Applied Mechanics 15 1980 377 386 (Pubitemid 12496493)
37. G. Rousselier, F. Barlat, and J.W. Yoon A novel approach for anisotropic hardening modeling. Part II: A novel approach for anisotropic hardening modeling. Part II: Anisotropic hardening in proportional and non-proportional loadings, application to initially isotropic material International Journal of Plasticity 26 2010 1029 1049
38. S. Soare, and F. Barlat Convex polynomial yield functions Journal of the Mechanics and Physics of Solids 58 2010 1804 1818
39. W.A. Spitzig, and O. Richmond The effect of pressure on the flow stress of metals Acta Metallurgica 32 1984 457 463 (Pubitemid 14567892)
40. D. Steglich, W. Brocks, J. Heerens, and T. Pardoen Anisotropic ductile fracture of Al 2024 alloys Engineering Fracture Mechanics 75 2008 3692 3706 (Pubitemid 351688323)
41. T.B. Stoughton, and J.W. Yoon Anisotropic hardening and non-associated flow in proportional loading of sheet metals International Journal of Plasticity 25 2009 1777 1817
42. P.F. Thomason Ductile Fracture of Metals 1990 Pergamon Press Oxford
43. P. Van Houtte, K. Mols, A. Van Bael, and E. Aernoudt Application of yield loci calculated from texture data Textures and Microstructures 11 1989 23 39
44. P. Van Houtte, and A. Van Bael Convex plastic potentials of fourth and sixth rank for anisotropic materials International Journal of Plasticity 20 2004 1505 1524
45. C.D. Wilson A critical reexamination of classical metal plasticity The Journal of Applied Mechanics 69 2002 63 68 (Pubitemid 35187180)