@misc{andar_measurement_and_2011, author={Andar, M.O.,Steglich, D.,Kuwabara, T.}, title={Measurement and Analysis of the Biaxial Loading and Unloading Behavior of AZ31 Mg Alloy Sheet}, year={2011}, howpublished = {conference paper: Paris (F); 24.-27.10.2010}, doi = {https://doi.org/10.1063/1.3552541}, abstract = {A commercial AZ31 magnesium alloy sheet has been tested under proportional,biaxial tensile loading using cruciform specimens. In order to quantitatively determine the,elastic-plastic deformation behavior of the test material, the contours of plastic work and the,directions of plastic strain rates were measured over a range of equivalent plastic strain,,0.001 p,≤ε 0 ≤ 0.008. The measured work contours and the directions of plastic strain rates have,been compared with those predicted using the von Mises, Hill’48 and the Yld2000-2d yield,functions. The validity of these yield functions is discussed from viewpoints of the yield surface,shape and normality flow rule in the first quadrant of the stress space. The r-value of AZ31 was,found to increase with plastic strain. The effect of the changes in r-value on the shape of the,calculated yield locus has been discussed. Furthermore, biaxial unloading tests following biaxial,loading were carried out for several stress ratios. The nonlinearity of the stress-strain curves,during uniaxial and biaxial unloading was measured and quantitatively evaluated.}, note = {Online available at: \url{https://doi.org/10.1063/1.3552541} (DOI). Andar, M.; Steglich, D.; Kuwabara, T.: Measurement and Analysis of the Biaxial Loading and Unloading Behavior of AZ31 Mg Alloy Sheet. In: Chinesta, F.; Chastel, Y.; Mansori, M. (Ed.): AIP Conferenc Proceedings, International Conference on Advances in Materials and Processing Technologies, AMTP 2010. Paris (F). AIP. 2011. 75-80. DOI: 10.1063/1.3552541}}