Abstract
This paper deals with a combined forming and fracture limit diagram and void coalescence analysis for the aluminum alloy Al 1145 alloy sheets of 1.8 mm thickness, annealed at four different temperatures, namely 200, 250, 300, and 350 °C. At different annealing temperatures these sheets were examined for their effects on microstructure, tensile properties, formability, void coalescence, and texture. Scanning electron microscope (SEM) images taken from the fractured surfaces were examined. The tensile properties and formability of sheet metals were correlated with fractography features and void analysis. The variation of formability parameters, normal anisotropy of sheet metals, and void coalescence parameters were compared with texture analysis.
Similar content being viewed by others
Abbreviations
- σ:
-
True stress
- ε:
-
True strain
- ε1 :
-
True major strain
- ε2 :
-
True minor strain
- ε3 :
-
True thickness strain
- εe :
-
True effective strain
- εm :
-
True hydrostatic or mean strain
- R-ratio:
-
Plastic strain ratio (ratio of width to thickness strain)
- n :
-
Strain hardening index or exponent value
- K :
-
Strength coefficient value
- R av :
-
Average plastic strain ratio or normal anisotropy = (R 0 + R 90 + 2R 45)/4
- ΔR :
-
Planar anisotropy
- n av :
-
Average strain hardening index = (n 0 + n 90 + 2n 45)/4
- K av :
-
Average strength coefficient = (K 0 + K 90 + 2K 45)/4
- RD:
-
Rolling direction
- ND:
-
Normal direction
- TT:
-
Strain condition of tension-tension region
- PS:
-
Plane strain condition
- TC:
-
Strain condition of tension-compression region
- V a :
-
Void area fraction
- L/W :
-
Length to width ratio of void
- T :
-
Triaxiality factor
- γ12 :
-
Mohr’s circle Shear strain developed because of ε1 and ε2 ((ε1 − ε2)/2)
- γ23 :
-
Mohr’s circle Shear strain developed because of ε2 and ε3 ((ε2 − ε3)/2)
- γ13 :
-
Mohr’s circle Shear strain developed because of ε1 and ε3 ((ε1 − ε3)/2)
- δd :
-
Relative spacing of the ligaments between two consecutive voids
- d-Factor:
-
A parameter on the void analysis (ratio of the δd to the radius of the void)
- ODF:
-
Orientation distribution function
- SEM:
-
Scanning electron microscopy
- RMA:
-
Representative material area (i.e., the area chosen in the SEM image)
References
Z.P. Xing, S.B. Kang, and H.W. Kim, Softening Behavior of 8011 Alloy Produced by Accumulative Roll Bonding Process, Scripta Mater., 2001, 45, p 597–604
H. Takuda, N. Yamazaki, N. Hatta, and S. Kikuchi, Influence of Cold-Rolling and Annealing Conditions on Formability of Aluminium Alloy Sheet, J. Mater. Sci., 1995, 30, p 957–963
D. Ravi Kumar and K. Swaminathan, Formability of Two Aluminium Alloys, Mater. Sci. Technol., 1999, 15, p 1241–1252
E. Batraktar, N. Isac, and G. Arnold, An Experimental Study on the Forming Parameters of Deep-Drawable Steel Sheets in Automotive Industry, J. Mater. Process. Technol., 2005, 162–163, p 471–476
V. Karthik, R.J. Comstock, Jr., D.L. Hershberger, and R.H. Wagoner, Variability of Sheet Formability and Formability Testing, J. Mater. Process. Technol., 2002, 121, p 350–362
H.B. Campos, M.C. Butuc, J.J. Gracio, J.E. Rocha, and J.M.F. Duarte, Theoretical and Experimental Determination of the Forming Limit Diagram for the AISI, 304 Stainless Steel, J. Mater. Process. Technol., 2006, 179, p 56–60
M. Aghaie-Khafri, Formability of AA8011 Aluminum Alloy Sheet in Homogenized and Unhomogenized Conditions, J. Mater. Sci., 2004, 39, p 6467–6472
Y.-M. Huang, Y.-W. Tsai, and C.-L. Li, Analysis of Forming Limits in Metal Forming Processes, J. Mater. Process. Technol., 2008, 201, p 385–389
O. Kristensson, Numerically Produced Forming Limit Diagrams for Metal Sheets with Voids Considering Micromechanical Effects, Eur. J. Mech. A, 2006, 25, p 13–23
F. Ozturk and D. Lee, Analysis of Forming Limits Using Ductile Fracture Criteria, J. Mater. Process. Technol., 2004, 147, p 397–404
Z. Yu, Z. Lin, and Y. Zhao, Evaluation of Fracture Limit in Automotive Aluminium Alloy Sheet Forming, Mater. Des., 2007, 28, p 203–207
V. Tvergaard, Influence of Voids on Shear Band Instabilities Under Plane Strain Conditions, Int. J. Fract., 1981, 17, p 389–407
A. Needleman and V. Tvergaard, An Analysis of Ductile Rupture Modes at a Crack Tip, J. Mech. Phys. Solids, 1987, 35, p 151–183
M. Gologanu, J.B. Leblond, and J. Devaux, Recent Extensions of Gurson’s Models for Porous Ductile Metals, Continuum Micromechanics, P. Suquet, Ed., Springer-Verlag, Berlin, 1995,
A.A. Benzerga, J. Bessson, and A. Pianeau, Coalescence-Controlled Anisotropic Ductile Fracture, J. Eng. Mater. Technol., 1999, 121, p 221–229
X. Gao and J. Kim, Modelling of Ductile Fracture: Significance of Void Coalescence, Int. J. Solids Struct., 2006, 43, p 6277–6293
R. Narayanasamy and C. Sathiya Narayanan, Experimental Analysis and Evaluation of Forming Limit Diagram for Interstitial Free Steels, Mater. Des., 2007, 28(5), p 1490–1512
J. Kim, X. Gao, and T.S. Srivatsan, Modelling of Crack Growth in Ductile Solids: A Three-Dimensional Analysis, Int. J. Solids Struct., 2003, 40, p 7357–7374
H.-S. Son, Y.-S. Kim, K.-H. Na, and S.-M. Hwang, Effect of Void Shape and Its Growth on Forming Limits for Anisotropic Sheets Containing Non-spherical Voids, ASME Int. J. A, 2004, 47, p 512–520
A.R. Ragab, Prediction of Fracture Limit Curves in Sheet Metals Uses a Void Growth and Coalescence Model, J. Mater. Process. Technol., 2008, 199, p 206–213
J.-H. Ryu and D.N. Lee, The Effect of Precipitation on the Evolution of Recrystallization Texture in AA 8011 Aluminium Alloy Sheet, Mater. Sci. Eng., A, 2002, 336, p 225–232
M. Jie, C.H. Cheng, L.C. Chan, and C.L. Chow, Forming Limit Diagrams of Strain-Rate-Dependent Sheet Metals, Int. J. Mech. Sci., 2009, 51, p 269–275
R. Ponalagusamy, R. Narayanasamy, and K.R. Subramanian, Prediction of Limit Strains in Sheet Metals by Using New Generalized Yield Criteria, Mater. Des., 2007, 28, p 913–920
P.H. Matin, L.M. Smith, and S. Petrusevski, A Method for Stress Space Forming Limit Diagram Construction for Aluminium Alloys, J. Mater. Process. Technol., 2006, 174, p 258–265
K. Hariharan and C. Balaji, Material Optimization: A Case Study Using Sheet Metal-Forming Analysis, J. Mater. Process. Technol., 2009, 209, p 324–331
K. Yoshida, T. Kuwabara, and M. Kuroda, Path-Dependence of the Forming Limit Stresses in a Sheet Metal, Int. J. Plast., 2007, 23, p 361–384
H. Aretzm, O.S. Hopperstad, and O.-G. Lademo, Yield Function Calibration for Orthotropic Sheet Metals Based on Uniaxial and Plane Strain Tensile Tests, J. Mater. Process. Technol., 2007, 186, p 221–235
W.C. Liu and J.G. Morris, Effect of Pre-treatment on Recrystallization and Recrystallization Textures of Cold Rolled CC AA 5182 Aluminum Alloy, Mater. Sci. Eng., A, 2003, 363, p 253–262
N. Abedrabbo, F. Pourboghrat, and J. Carsley, Forming of Aluminium Alloys at Elevated Temperatures—Part I: Material Characterization, Int. J. Plast., 2006, 22, p 314–341
Z.-J. Wang, Y. Li, J.-G. Liu, and Y.-H. Zhang, Evaluation of Forming Limit in Viscous Pressure Forming of Automotive Aluminium Alloy 6k21-T4 Sheet, Trans. Nonferrous Met. Soc. China, 2007, 17, p 1169–1174
D.W.A. Rees, A Tensor Function for the R Value of Sheet Metal, Appl. Math. Modelling, 1997, 21, p 579–590
A.K. Gupta and D. Ravi Kumar, Formability of Galvanized Interstitial-Free Steel Sheets, J. Mater. Process. Technol., 2006, 172, p 225–237
R. Narayanasamy and P. Padmanabhan, Modeling of Springback on Air Bending Process of Interstitial Free Steel Sheet Using Multiple Regression Analysis, Int. J. Interact. Des. Manuf., 2009, 3, p 25–33
R. Narayanasamy, M. Ravi Chandran, C. Sathiya Narayanan, N.L. Parthasarathi, and R. Ravindran, Effect of Annealing Temperature on Void Coalescence in 5086 Aluminium Alloy Formed Under Different Stress Conditions, Int. J. Mech. Mater. Des., 2006, 3, p 293–307
R. Narayanasamy, M. Ravi Chandran, and N.L. Parthasarathi, Effect of Annealing Temperature on Formability of Aluminium Grade 19000, Mater. Des., 2008, 29, p 1633–1653
R. Ravindran, K. Manonmani, and R. Narayanasamy, An Analysis of Void Coalescence in Al 5052 Alloy Sheets Annealed at Different Temperature Formed Under Different Stress Conditions, Mater. Sci. Eng., A, 2009, 507, p 252–267
R. Narayanasamy, R. Ravindran, K. Manonmani, and J. Satheesh, A Crystallographic Texture Perspective Formability Investigation of Aluminium 5052 Alloy Sheets at Various Annealing Temperatures, Mater. Des., 2009, 30, p 1804–1817
R. Ravindran, K. Manonmani, and R. Narayanasmay, An Analysis of Wrinkling Limit Diagrams of Aluminum Alloy 5005 Annealed at Different Temperatures, Int. J. Mater. Form., 2010, 3(2), p 103–115
O. Engler and K. Lucke, Mechanisms of Recrystallization Texture Formation in Aluminium Alloys, Scripta Metall. Mater., 1992, 27, p 1527
Y. Zhou and K.W. Neale, Predictions of Forming Limit Diagrams Using a Rate-Sensitive Crystal Plasticity Model, Int. J. Mech. Sci., 1995, 37, p 1
P.D. Wu, S.R. Mac-Even, D.J. Lloyd, and K.W. Neale, Effect of Cube Texture on Sheet Metal Formability, Mater. Sci. Eng., A, 2004, 364, p 182–187
M.H. Alvi, S.W. Cheong, J.P. Suni, H. Weiland, and A.D. Rollett, Cube Texture in Hot-Rolled Aluminum Alloy 1050 (AA1050)—Nucleation and Growth Behavior, Acta Mater., 2008, 56(13), p 3098–3108
Acknowledgments
The authors would like to thank Dr. Ganesh Sundararaman, Professor, IIT Madras and Dr. Indradev Samajdar, Professor, IIT Mumbai for their encouragement and support and National Facility of Texture and OIM, IIT Mumbai (Supported by DST (IRPHA)).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Velmanirajan, K., Thaheer, A.S.A., Narayanasamy, R. et al. Effect of Annealing Temperature in Al 1145 Alloy Sheets on Formability, Void Coalescence, and Texture Analysis. J. of Materi Eng and Perform 22, 1091–1107 (2013). https://doi.org/10.1007/s11665-012-0358-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11665-012-0358-1