Issue 38

A. Znaidi et alii, Frattura ed Integrità Strutturale, 38 (2016) 135-140; DOI: 10.3221/IGF-ESIS.38.18 140 Using the identified anisotropic coefficients, we represent in Fig. 3 the evolution of the anisotropy based on off-axis angles; using the Barlat's criterion this material is very anisotropic at  = 45°. C ONCLUSION I n this work we show that identification strategy results can be extracted. This identification has focused both on plastic material parameters of the constitutive law and Lankford coefficient. Thus, the plastic behavior model: Hollomon Law and Barlat criterion with 5 parameters are identified. A validation by comparing model / to experiment data was performed.The model using the Barlat's criterion is in good agreement with experimental results relating to Lankford coefficients. Following this strategy, we observed very pronounced anisotropy of AZ31BMagnesium and the load surface for different tests at the end of this identification. With this strategy, we can study in a more precise way the anisotropy of the Magnesium model by integrating Barlat in integrating the model Hill. R EFERENCES [1] Ghouati, O., Gelin, J.C., A finite element based identification method for complex metallic material behavior, Computational Materials Science, 68 (2001) 2157. [2] Znaidi, A., Plasticity orthotrope in large deformation, PhD thesis at the Faculty of Sciences of Tunis (2004). [3] Znaidi, A., Gahbiche A., Identification of the plastic behavior of orthotropic thin plates based on non-quadratic yield criterion. 6th National Conference of Physics Research Hammamet (1999). [4] Boubakar, L., Boisse, P., Anisotropic elastoplastic behavior for numerical analysis of thin shells in great transformations. Européene review Mechanics, 7(6) (1998). [5] Manget, B., Perre, P., A large displacement formulation for anisotropic constitutive laws, European journal of Mecanique, 18(5) (1999). [6] Barlat, F., Brem, D. L. J., A six components yield function for anisotropic materials, Int. J. Plasticity, 7 (1991) 693- 712. [7] Gronostajsk, Z., The constitutive equations for fem analysis. Journal of material processing technology, 106 (2000) 40-44. [8] Hill, R., A theory of the yielding and plastic flow of anisotropic metals, Proc. Roy. Soc of London, A93 (1948) 281- 297. [9] Cazacu, O., Ionescu, I. R., Yoon, J. W., Orthotropic strain rate potential for the description of anisotropy in tension and compression of metals, Int. J. Plasticity, (2009). [10] Cazacu, O., Plunkett, B., Barlat, F., Orthotropic yield criterion description of anisotropy in tension and compression of sheet metals, Int. J. Plasticity, 24 (2008) 847-866. [11] Plunkett, B., Cazacu, O., Barlat, F., Orthotropic yield criterion for hexagonal closed packed metals, Int. J. Plasticity, 22 (2006) 1171-1194. [12] Daghfas, O., Znaidi, A., Nasri, R., Anisotropic behavior of mild steel subjected to isotropic and kinematic hardening, In: 6th International Conference on Advances in Mechanical Engineering and Mechanics (ICAMEM2015), Hammamet, (Tunisia) (2015) 128. [13] Baganna, M., Znaïdi, A., Kharroubi, H., Nasri, R., Identification of anisotropic plastic behavior laws for aluminum 2024 after heat treatment materials from off-axis testing, Toulouse, (2010). [14] Znaidi, A., Daghfas, O., Toussaint, F., Nasri, R., Strategy for the identification of anisotropic behavior laws for Ti40 sheets, AMPT2015 Madrid, (2015). [15] Yueqian, J., Xiang, L., Yuanli, B., Theorical Study On Mechanical Properties of AZ31B Magnesium Alloy Sheets Under Multiaxial Loading, J. Automotive Safety and Energy, 4 (2012).