Browse > Article
http://dx.doi.org/10.7736/KSPE.2012.29.8.818

Prediction of Necking in Tensile Test using Crystal Plasticity Model and Damage Model  

Kim, Jong-Bong (Department of Mechanical and Automotive Engineering, Seoul Nat. Univ. of Sci. Tech.)
Hong, Seung-Hyun (Sheet Metal Development TFT, Hyundai Motor Company and Kia Motors Corporation)
Yoon, Jeong-Whan (Department of Engineering & Industrial Sci., Swinburne Univ. of Technol.)
Publication Information
Journal of the Korean Society for Precision Engineering / v.29, no.8, 2012 , pp. 818-823 More about this Journal
Abstract
In order to predict necking behaviour of aluminium sheets, a crystal plasticity model is introduced in the finite element analysis of tensile test. Due to the computational limits of time and memory, only a small part of tensile specimen is subjected to the analysis. Grains having different orientations are subjected to numerical tensile tests and each grain is discretized by many elements. In order to predict the sudden drop of load carrying capacity after necking, a well-known Cockcroft-Latham damage model is introduced. The mismatch of grain orientation causes stress concentration at several points and damage is evolved at these points. This phenomenon is similar to void nucleation. In the same way, void growth and void coalescence behaviours are well predicted in the analysis. For the comparison of prediction capability of necking, same model is subjected to finite element analysis using uniform material properties of polycrystal with and without damage. As a result, it is shown that the crystal plasticity model can be used in prediction of necking and fracture behavior of materials accurately.
Keywords
Necking; Crystal Plasticity; Grain Orientation; Grain Texture;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Zhang, Z. L., Thaulow, C., and Odegard, J., "A complete Gurson model approach for ductile fracture," Eng. Fract. Mech., Vol. 67, No. 2, pp. 155-168, 2000.   DOI
2 Cockcroft, M. G. and Latham, D. J., "Ductility and the workability of metals," J. of the Institute of Metals, Vol. 96, pp. 33-39, 1968.
3 Kim, J. B., Hong, S. H., and Yoon, J. W., "An analysis of necking behavior of Aluminium 6022-T4 based on crystal plasticity model," Proc. of KSME, pp. 81-82, 2012.
4 Dao, M. and Asaro, R. J., "Localized deformation modes and non-schmid effects in crystalline solids. Part I. Crytical conditions of localization," Mech. Mater., Vol. 23, No. 2, pp. 71-102, 1996.   DOI
5 ABAQUS Inc., "ABAQUS theory manual," 2006.
6 Dejardin, S., Thibaud, S., and Gelin, J. C., "Finite element analysis and experimental investigation for improving precision in single point incremental sheet forming process," Int. J. Mater. Form., Vol. 1, Suppl. 1, pp. 121-124, 2008.   DOI
7 Kim, T. J. and Yang, D. Y., "Inprovement of formability for the incremental sheet metal forming process," Int. J. Mech. Sci., Vol. 42, No. 7, pp. 1271-1286, 2000.   DOI
8 Yoon, J. W., Barlat, F., Gracio, J. J., and Rauch, E., "Anisotropic strain hardening behaviour in simple shear for cube textured aluminium alloy sheets," Int. J. Plasticity, Vol. 21, No. 12, pp. 2426-2447, 2005.   DOI
9 Chio, S.-H., Kim, D. H., Park, S. S., and You, B. S., "Simulation of stress concentration in Mg alloys using the crystal plasticity finite element method," Acta Mater., Vol. 58, No. 1, pp. 320-329, 2010.   DOI   ScienceOn
10 Dao, M. and Li, M., "A micromechanical study on strain-localization-induced fracture initiation in bending using crystal plasticity models," Philosophical Magazine A, Vol. 81, No. 8, pp. 1997-2020, 2001.   DOI
11 Ko, J. B., Goh, C. H., and Lee, K. S., "The study of microstructure influence at fretting contacts using crystal plasticity simulation," J. of the KSPE, Vol. 22, No. 8, pp. 84-91, 2005.
12 Ha, S. Y. and Kim, K. T., "Finite element analysis for rate-independent crystal plasticity model," Trans. of the KSME A, Vol. 33, No. 5, pp. 447-454, 2009.
13 Kielsen, K. L. and Tvergaard, V., "Effect of a shear modified Gurson model on damage development in a FSW tensile specimen," Int. J. Solids and Struct., Vol. 46, No. 3-4, pp. 587-601, 2009.   DOI
14 Tvergaard, V. and Needleman, A., "Analysis of the cup-cone fracture in a round tensile bar," Acta Mater., Vol. 32, No. 1, pp. 157-169, 1984.   DOI
15 Stoughton, T. B. and Yoon, J. W., "A new approach for failure criterion for sheet metals," Int. J. Plasticity, Vol. 27, No. 3, pp. 440-459, 2011.   DOI
16 Kim, S. B., Huh, H., Bok, H. H., and Moon, M. B., "Forming limit diagram of auto-body steel sheets for high-speed sheet metal forming," J. of Mater. Process. Technol., Vol. 211, No. 5, pp. 851-862, 2010.
17 Kuroda, M. and Tvergaard, V., "Forming limit diagrams for anisotropic metal sheet with different yield criteria," Int. J. of Solids and Struct., Vol. 37, No. 37, pp. 5037-5059, 2000.   DOI