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Structural Engineering and Mechanics Volume 57, Number 6, March25 2016 , pages 1015-1038 DOI: https://doi.org/10.12989/sem.2016.57.6.1015 |
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An advanced criterion based on non-AFR for anisotropic sheet metals |
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Farzad Moayyedian and Mehran Kadkhodayan
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| 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 \'advanced 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). | ||
| Key Words | ||
| advanced criterion; asymmetric anisotropic sheet metals; non-AFR; tensile yield stresses; compressive yield stresses; Lankford coefficients | ||
| Address | ||
| Farzad Moayyedian: Department of Mechanical Engineering, Eqbal Lahoori Institute of Higher Education (ELIHE), Mashhad, Iran Mehran Kadkhodayan: Department of Mechanical Engineering, Ferdowsi University of Mashhad (FUM), Mashhad, Iran | ||