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An advanced criterion based on non-AFR for anisotropic sheet metals
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 Title & Authors
An advanced criterion based on non-AFR for anisotropic sheet metals
Moayyedian, Farzad; Kadkhodayan, Mehran;
 Abstract
In the current research an advanced criterion with non-associated flow rule (non-AFR) for depicting the behavior of anisotropic sheet metals is presented to consider the strength differential effects (SDEs) for these materials. Owing to the fact that Lou et al. (2013) yield function is dependent on structure of an anisotropic material (BCC, FCC and HCP), an advanced yield function with inspiring of Yoon et al. (2014) yield function is proposed which is dependent upon anisotropic structures. Furthermore, to compute Lankford coefficients, a new pressure sensitive plastic potential function which would be dependent to anisotropic structure is presented and coupled with the proposed yield function with employing a non-AFR in a novel criterion which is called here `dvanced criterion`. Totally eighteen experimental data are required to calibrate the criterion contained of directional tensile and compressive yield stresses for the yield function and directional Lankford coefficients for the plastic potential function. To verify the criterion, three anisotropic sheet metals with different structures are taken as case studies such as Al 2008-T4 (a BCC material), Al 2090-T3 (a FCC material) and AZ31 (a HCP material).
 Keywords
advanced criterion;asymmetric anisotropic sheet metals;non-AFR;tensile yield stresses;compressive yield stresses;Lankford coefficients;
 Language
English
 Cited by
1.
Yield function of the orthotropic material considering the crystallographic texture,;;;

Structural Engineering and Mechanics, 2016. vol.58. 4, pp.677-687 crossref(new window)
1.
Yield function of the orthotropic material considering the crystallographic texture, Structural Engineering and Mechanics, 2016, 58, 4, 677  crossref(new windwow)
2.
Non-linear influence of hydrostatic pressure on the yielding of asymmetric anisotropic sheet metals, Mathematics and Mechanics of Solids, 2016, 108128651667566  crossref(new windwow)
 References
1.
Aretz, H. (2005), "A non-quadratic plane stress yield function for orthotropic sheet metals", J. Mater. Pr. Tech., 168(1), 1-9. crossref(new window)

2.
Barlat, F., Brem, J.C., Yoon, J.W., Chung, K., Dick, R.E., Lege, D.J., Pourboghrat, F., Choi, S.H. and Chu, E. (2003), "Plane stress yield function for aluminum alloy sheets-part 1: theory", Int. J. Plast., 19(9), 1297-1319. crossref(new window)

3.
Hu, W. (2005), "An orthotropic criterion in a 3-D general stress state", Int. J. Plast., 21(9), 1771-1796. crossref(new window)

4.
Huh, H., Lou, Y., Bae, G. and Lee, C. (2010), "Accuracy analysis of anisotropic yield functions based on the root-mean square error", AIP Conference Proceeding of the 10th NUMIFORM, 1252, 739-746.

5.
Hu, W. and Wang, Z.R. (2005), Multiple-factor dependence of the yielding behavior to isotropic ductile materials", Comput. Mater. Sci., 32(1), 31-46. crossref(new window)

6.
Hu, W. and Wang, Z.R. (2009), "Construction of a constitutive model in calculations of pressure-dependent material", Comput. Mater. Sci., 46(4), 893-901. crossref(new window)

7.
Lee, M.G., Wagoner, R.H., Lee, J.K., Chung, K. and Kim, H.Y. (2008), "Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets", Int. J. Plast., 24(4), 545-582. crossref(new window)

8.
Liu, C., Huang, Y. and Stout, M.G. (1997), "On the asymmetric yield surface of plastically orthotropic materials: a phenomenological study", Acta Metallurgica, 45(6), 2397-2406.

9.
Lou, Y., Huh, H. and Yoon, J.W. (2013), "Consideration of strength differential effect in sheet metals with symmetric yield functions", Int. J. Mech. Sci., 66, 214-223. crossref(new window)

10.
Moayyedian, F. and Kadkhodayan, M. (2015), "Combination of modified Yld2000-2d and Yld2000-2d in anisotropic pressure dependent sheet metals", Latin Am. J. Solid. Struct., 12(1), 92-114. crossref(new window)

11.
Moayyedian, F. and Kadkhodayan, M. (2015), "Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems", Appl. Math. Mech., English Edition, 36(3), 303-318. crossref(new window)

12.
Safaei, M., Zang, S.L., Lee, M.G. and Waele, W.D. (2013), "Evaluation of anisotropic constitutive models: Mixed anisotropic hardening and non-associated flow rule approach", Int. J. Mech. Sci., 73, 53-68. crossref(new window)

13.
Safaei, M., Lee, M.G., Zang, S.L. and Waele, W.D. (2014), "An evolutionary anisotropic model for sheet metals based on non-associated flow rule approach", Comput. Mater. Sci., 81, 15-29. crossref(new window)

14.
Safaei, M., Yoon, J.W. and Waele, W.D. (2014), "Study on the definition of equivalent plastic strain under non-associated flow rule for finite element formulation", Int. J. Plast., 58, 219-238. crossref(new window)

15.
Spitzig, W.A. and Richmond, O. (1984), "The effect of pressure on the flow stress of metals", Acta Metallurgica, 32(3), 457-463. crossref(new window)

16.
Stoughton, T.B. and Yoon, J.W. (2004), "A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming", Int. J. Plast., 20(4-5), 705-731. crossref(new window)

17.
Stoughton T.B. and Yoon, J.W. (2009), "Anisotropic hardening and non-associated flow in proportional loading of sheet metals", Int. J. Plast., 25(9), 1777-1817. crossref(new window)

18.
Taherizadeh, A., Green, D.E. and Yoon, J.W. (2011), "Evaluation of advanced anisotropic models with mixed hardening Evaluation of advanced anisotropic models with mixed hardening for general associated and non-associated flow metal plasticity", Int. J. Plast., 27(11), 1781-1802. crossref(new window)

19.
Yoon, J.W., Lou, Y., Yoon, J. and Glazoff, M.V. (2014), "Asymmetric yield function based on the stress invariants for pressure sensitive metals", Int. J. Plast., 56, 184-202. crossref(new window)