TY - JOUR
T1 - On the asymmetric yield surface of plastically orthotropic materials
T2 - A phenomenological study
AU - Liu, C.
AU - Huang, Y.
AU - Stout, M. G.
N1 - Funding Information:
Acknowledgements-CL and MGS acknowledge financial support from the Department of Energy, Defense Programs, Technology Transfer Initiative. YH acknowledges the financial support from the National Science Foundation (Grant \ INT-94-23964 and Grant CMS-95-22147). CL also acknowledges a Director Funded Postdoctoral Fellowship from the Los Alamos National Laboratory.
PY - 1997/6
Y1 - 1997/6
N2 - Hill's (1948) yield criterion for plastically orthotropic solids is extended to include materials whose tensile and compressive yield stresses, obtained from uniaxial loading tests, are different. First, we review and discuss the classic yield criteria in plasticity theory including plastically isotropic and anisotropic materials. Then, we present a yield criterion for plastic anisotropic solids whose initial yield surface may not be symmetric about the origin in stress space. The new criterion is based on the criterion given by Hill (Proc. Roy. Soc. London A, 1948, 193, 281) for anisotropic solids and the criterion proposed by Drucker and Prager (Q. Appl. Math., 1952, 10, 157) for soil whose tensile and compressive strengths are far apart. The coefficients that appear in the new criterion can be determined from uniaxial tension and compression, and simple shearing tests. The formulae for the determination of those coefficients are given. Specifically, the new criterion is applied to the yielding of thin sheets where a plane stress condition prevails. Finally, the prediction of the criterion is compared with the experimental data obtained by Lee and Backofen (Trans. Metall. Soc. AIME, 1966, 236, 1966) on titanium alloy sheets,
AB - Hill's (1948) yield criterion for plastically orthotropic solids is extended to include materials whose tensile and compressive yield stresses, obtained from uniaxial loading tests, are different. First, we review and discuss the classic yield criteria in plasticity theory including plastically isotropic and anisotropic materials. Then, we present a yield criterion for plastic anisotropic solids whose initial yield surface may not be symmetric about the origin in stress space. The new criterion is based on the criterion given by Hill (Proc. Roy. Soc. London A, 1948, 193, 281) for anisotropic solids and the criterion proposed by Drucker and Prager (Q. Appl. Math., 1952, 10, 157) for soil whose tensile and compressive strengths are far apart. The coefficients that appear in the new criterion can be determined from uniaxial tension and compression, and simple shearing tests. The formulae for the determination of those coefficients are given. Specifically, the new criterion is applied to the yielding of thin sheets where a plane stress condition prevails. Finally, the prediction of the criterion is compared with the experimental data obtained by Lee and Backofen (Trans. Metall. Soc. AIME, 1966, 236, 1966) on titanium alloy sheets,
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U2 - 10.1016/S1359-6454(96)00349-7
DO - 10.1016/S1359-6454(96)00349-7
M3 - Article
AN - SCOPUS:0031168745
VL - 45
SP - 2397
EP - 2406
JO - Acta Materialia
JF - Acta Materialia
SN - 1359-6454
IS - 6
ER -