A parametric finite element study and an analytical model of particle distributions on post-necking deformation and failure mode in AA5754 aluminum alloy sheets

International Journal of Fracture

Volumn 164, Issue 2, 2010, Pages 167-183

  Hu, Xiaohua ^a   Wilkinson, David S ^a   Jain, Mukesh ^a   Mishra, Raja K ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b GENERAL MOTORS CORPORATION   (United States)

Author keywords

Failure mode; Finite element analysis; Microstructures; Particle distribution; Post necking deformation

Indexed keywords

ALUMINUM ALLOY SHEET; ANALYTICAL MODEL; DAMAGE SOURCES; DESIGN TOOL; FINITE ELEMENT ANALYSIS; INTER-PARTICLE SPACING; LARGE PARTICLES; NECKING DEFORMATION; PARAMETRIC FINITE ELEMENTS; PARAMETRIC STUDY; PARTICLE DISTRIBUTIONS; PLANE STRAIN MODEL; POST-NECKING DEFORMATION; SECOND PHASE PARTICLES; STRIP CAST;

ALUMINUM; ALUMINUM ALLOYS; ALUMINUM SHEET; CERIUM ALLOYS; COMPUTER SIMULATION; DEFORMATION; FAILURE MODES; MATHEMATICAL MODELS; MICROSTRUCTURE; MODELS; QUALITY ASSURANCE; STRINGERS; THERMOELECTRICITY;

FINITE ELEMENT METHOD;

EID: 77953809780     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-010-9466-9     Document Type: Article

References (43)

1. ABAQUS, 2006. ABAQUS Manual Version 6-5.1
2. A Bacha D Daniel H Klocker 2007 On the determination of true stress triaxiality in sheet metal J Mater Process Technol 184 272 287 10.1016/j.jmatprotec.2006.11.031 1:CAS:528:DC%2BD2sXhslSkuro%3D (Pubitemid 46205261)
3. R Becker 1992 An analysis of shear localization during bending of a polycrystalline sheet J Appl Mech-Trans Asme 59 491 496 1:CAS:528: DyaK3sXmsVyhtw%3D%3D
4. N Chawla VV Ganesh B Wunsch 2004 Three-dimensional (3D) microstructure visualization and finite element modeling of the mechanical behavior of SiC particle reinforced aluminum composites Scr Mater 51 161 165 10.1016/j.scriptamat.2004.03.043 1:CAS:528:DC%2BD2cXjvFKqsrs%3D
5. M Dao M Lie 2001 A micromechanics study on strain-localization-induced fracture initiation in bending using crystal plasticity models Philos Mag A 81 1997 2020 10.1080/01418610108216649 1:CAS:528:DC%2BD3MXmt1Wqtrc%3D 2001PMagA.81.1997D
6. J Datsko CT Yang 1960 Correlation of bendability of materials with their tensile properties J Eng Ind 82 309 314
7. L Delannay PJ Jacques SR Kalidindi 2006 Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons Int J Plast 22 1879 1898 1136.74375 10.1016/j.ijplas.2006.01.008 1:CAS:528:DC%2BD28Xls1Gkurk%3D (Pubitemid 43831514)
8. Delannay L, Melchoir MA, Kanjarla AK, Van Houtte P, Signorelli JW (2008) CPFEM investigation of the effect of grain shape on the planar anisotropy and the shear banding of textured metal sheets. In: Proceedings of the 15th international conference on textures of materials (ICOTOM 15)
9. M Gasperini C Pinn W Swiatnick 1996 Microstructure evolution and strain localization during shear deformation of an aluminium alloy Acta Mater 44 4195 4208 10.1016/S1359-6454(96)00046-8 1:CAS:528:DyaK28XmtFSktLk%3D
10. AK Ghosh 1977 Tensile instability and necking in materials with strain hardening and strain-rate hardening Acta Metallurgica 25 1413 1424 10.1016/0001-6160(77)90072-4
11. SM Hirth GJ Marshall SA Court DJ Lloyd 2001 Effects of Si on the aging behaviour and formability of aluminium alloys based on AA6016 Mater Sci Eng A 319-321 452 456
12. XH Hu M Gasperini P Van Houtte 2005 Strain localization observed during shearing of some aluminium alloys and texture softening predicted by FC Taylor and adavanced lamel model Solid Statess Phenom 105 363 370 10.4028/www. scientific.net/SSP.105.363 1:CAS:528:DC%2BD2MXlsFeksb4%3D
13. XH Hu M Gasperini P Van Houtte 2005 Texture prediction of an AA3004 aluminum alloy with the occurrence of strain localization during simple shear using a multiscale modeling procedure Mater Sci Forum 495-497 1103 1110 10.4028/www.scientific.net/MSF.495-497.1103
14. XH Hu M Jain DS Wilkinson RK Mishra 2008 Microstructure-based finite element analysis of strain localization behavior in AA5754 aluminum sheet Acta Materialia 56 3187 3201 10.1016/j.actamat.2008.02.048 1:CAS:528: DC%2BD1cXnvVGhsb0%3D
15. XH Hu P Van Houtte M Liebeherr A Walentek M Seefeldt H Vandekinderen 2006 Modeling work hardening of pearlitic steels by phenomenological and Taylor-type micromechanical models Acta Materialia 54 1029 1040 10.1016/j.actamat.2005.10. 030 1:CAS:528:DC%2BD28XnvVCrtA%3D%3D (Pubitemid 43124060)
16. XH Hu DS Wilkinson M Jain RK Mishra 2009 The influence of particle shape, volume fraction and distribution on post-necking deformation and fracture in uniaxial tension of AA5754 sheet materials Int J Solids Struct 46 2650 2658 10.1016/j.ijsolstr.2009.02.012
17. Hu XH, Wilkinson DS, Jain M, Mishra RK (2008b) Modeling strain localization using a plane stress two-particle model and the influence of grain level matrix inhomogeneity. J Eng Mater Technol Trans ASME 130, Paper No. 021002
18. XH Hu DS Wilkinson M Jain RK Mishra 2007 Modeling the influence of grain-level matrix inhomogeneity on strain localization in the presence of hard particles Model Simul Mater Sci Eng 15 893 909 10.1088/0965-0393/15/8/006 2007MSMSE.15.893H (Pubitemid 350159133)
19. JW Hutchinson KW Neale 1977 Influence of strain-rate sensitivity on necking under uniaxial tension Acta Metallurgica 25 839 846 10.1016/0001- 6160(77)90168-7 1:CAS:528:DyaE1cXmsV2jsw%3D%3D
20. JD Kang DS Wilkinson DV Malakhov H Halim M Jain JD Embury RK Mishra 2007 Effect of processing route on the spatial distributions of constituent particles and their role in the fracture process in AA5754 alloy sheet materials Mater Sci Eng A 456 85 92 10.1016/j.msea.2006.12.052 (Pubitemid 46463656)
21. O Kolednik K Unterweger 2008 The ductility of metal matrix composites-Relation to local deformation behavior and damage evolution Eng Fract Mech 75 3663 3676 10.1016/j.engfracmech.2007.08.011 (Pubitemid 351688324)
22. M Kuroda V Tvergaard 2007 Effects of texture on shear band formation in plane strain tension/compression and bending Int J Plast 23 244 272 1127.74317 10.1016/j.ijplas.2006.03.014 1:CAS:528:DC%2BD28XhtFCqurzK (Pubitemid 44636102)
23. Marciniak Z, Duncan JL, Hu SJ (2002) Mechanics of sheet metal forming, 2nd edn. Butterworth-Heinemann, Oxford, UK
24. D Metzger X Duan M Jain DS Wilkinson R Mishira S Kim AK Sachdev 2006 The influence of particle distribution and volume fraction on post-necking behavior of aluminum alloys Mech Mater 38 1026 1038 10.1016/j.mechmat.2005.12.003 (Pubitemid 44061983)
25. LP Mikkelsen 1997 Post-necking behaviour modelled by a gradient dependent plasticity theory Int J Solids Struct 34 4531 4546 0939.74528 10.1016/S0020-7683(97)00039-5
26. MP Miller JS Park PR Dawson TS Han 2008 Measuring and modeling distributions of stress state in deforming polycrystals Acta Materialia 56 3927 3939 10.1016/j.actamat.2008.04.062 1:CAS:528:DC%2BD1cXps1Wnu70%3D
27. E Nakamachi NN Tam H Morimoto 2007 Multi-scale finite element analyses of sheet metals by using SEM-EBSD measured crystallographic RVE models Int J Plast 23 450 489 05138695 10.1016/j.ijplas.2006.06.002 1:CAS:528:DC%2BD28XhtlShs7rM (Pubitemid 44839137)
28. A Needleman 1988 Material rate dependence and mesh sensitivity in localization problems Comput Methods Appl Mech Eng 67 69 85 0618.73054 10.1016/0045-7825(88)90069-2 (Pubitemid 18574390)
29. SS Park DH Kang GT Bae NJ Kim 2005 Development of strip casting process for fabrication of wrought Mg alloys, Magnesium-Science Technol Appl 488-489 431 434
30. J Sarkar TRG Kutty KT Conlon DS Wilkinson JD Embury DJ Lloyd 2001 Tensile and bending properties of AA5754 aluminum alloys Mater Sci Eng A 316 52 59 10.1016/S0921-5093(01)01226-6 (Pubitemid 32914330)
31. J Sarkar TRG Kutty DS Wilkinson JD Embury DJ Lloyd 2004 Tensile properties and bendability of T4 treated AA6111 aluminum alloys Mater Sci Eng A 369 258 266 10.1016/j.msea.2003.11.022 (Pubitemid 38345754)
32. J Segurado J LLorca 2006 Computational micromechanics of composites: the effect of particle spatial distribution Mech Mater 38 873 883 10.1016/j.mechmat.2005.06.026 (Pubitemid 44268992)
33. K Spencer SF Corbin DJ Lloyd 2002 The influence of iron content on the plane strain fracture behaviour of AA 5754 Al-Mg sheet alloys Mater Sci Eng A 325 394 404 10.1016/S0921-5093(01)01481-2 (Pubitemid 34209654)
34. V Tvergaard 1993 Necking in tensile bars with rectangular cross-section Comput Methods Appl Mech Eng 103 273 290 10.1016/0045-7825(93)90049-4
35. H Utsunomiya MPF Sutcliffe HR Shercliff P Bate DB Miller 2004 Evolution of matt surface topography in aluminium pack rolling. Part I: model development Int J Mech Sci 46 1349 1364 10.1016/j.ijmecsci.2004.07.004
36. H Utsunomiya MPF Sutcliffe HR Shercliff P Bate DB Miller 2004 Evolution of matt surface topography in aluminium pack rolling. Part II: effect of material properties Int J Mech Sci 46 1365 1375 10.1016/j.ijmecsci.2004.07.005
37. PD Wu DJ Lloyd 2004 Analysis of surface roughening in AA6111 automotive sheet Acta Materialia 52 1785 1798 10.1016/j.actamat.2003.12.039 1:CAS:528:DC%2BD2cXislCqurs%3D
38. PD Wu DJ Lloyd A Bosland H Jin SR MacEwen 2003 Analysis of roping in AA6111 automotive sheet Acta Materialia 51 1945 1957 10.1016/S1359-6454(02) 00600-6 1:CAS:528:DC%2BD3sXit1Cmtbc%3D
39. PD Wu DJ Lloyd M Jain KW Neale Y Huang 2007 Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking Int J Plast 23 1084 1104 1148.74305 10.1016/j.ijplas.2006.11.005 1:CAS:528:DC%2BD2sXisl2lsb4%3D (Pubitemid 46366625)
40. PD Wu SR MacEwen DJ Lloyd KW Neale 2004 A mesoscopic approach for predicting sheet metal formability Model Simul Mater Sci Eng 12 511 527 10.1088/0965-0393/12/3/011 2004MSMSE.12.511W
41. PD Wu E Vander Giessen 1994 Analysis of shear band propagation in amorphous glassy polymers Int J Solids Struct 31 1493 1517 0946.74511 10.1016/0020-7683(94)90011-6
42. M Zhang J Zhang DL McDowell 2007 Microstructure-based crystal plasticity modeling of cyclic deformation of Ti-6Al-4V Int J Plast 23 1328 1348 1134.74349 10.1016/j.ijplas.2006.11.009 1:CAS:528:DC%2BD2sXkvF2jtL4%3D (Pubitemid 46660457)
43. Z Zhao M Ramesh D Raabe A Cuitino R Radovitzky 2008 Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal Int J Plast 24 2278 2297 1156.74010 10.1016/j.ijplas.2008. 01.002 1:CAS:528:DC%2BD1cXhtFWhtb3O