A six-component yield function for anisotropic materials

Taylor, 1938, Plastic Strain in Metals, J. Inst. Metals, 62, 307

Hill, 1948, A Theory of the Yielding and Plastic Flow of Anisotropic Metals, A193, 281

Bishop, 1951, A Theory of the Plastic Distortion of a Polycrystalline Aggregate under Combined Stresses, Phil. Mag., 42, 414, 10.1080/14786445108561065

Bishop, 1951, A Theoretical Derivation of the Plastic Properties of a Polycrystalline Face-Centered Metal, Phil. Mag., 42, 1298, 10.1080/14786444108561385

Drucker, 1951, A More Fundamental Approach to Plastic Stress-Strain Relations, 487

Hershey, 1954, The Plasticity of an Isotropic Aggregate of Anisotropic Face Centered Cubic Crystals, J. Appl. Mech. Trans. ASME, 21, 241, 10.1115/1.4010900

Eggleston, 1958, General Properties of Convex Functions, 45

Drucker, 1959, A Definition of a Stable Inelastic Material, J. Appl. Mech. Trans. ASME, 26, 101, 10.1115/1.4011929

Bunge, 1965, Zur Darstellung Allgemeiner Texturen, Z. Metallkunde, 56, 872

Roe, 1965, Description of Crystalline Orientation in Polycrystalline Materials III: General Solution to Pole Figure Inversion, J. Appl. Physics, 36, 2024, 10.1063/1.1714396

Lippmann, 1970, Matrixungleichungen und die Konvexität der Fliessfläche, Zeit. Angew. Math. Mech., 50, 134, 10.1002/zamm.19700500168

Hosford, 1972, A Generalized Isotropic Yield Criterion, J. Appl. Mech. Trans. ASME, E39, 607, 10.1115/1.3422732

Rockafellar, 1972, Convex Functions, 23

Francois, 1976, Limite d'Elasticité des Métaux non Alliés et Critères de Plasticité, 49

Hecker, 1976, Experimental Studies of Yield Phenomena in Biaxially Loaded Metals, 1

Bassani, 1977, Yield Characterization of Metals with Transversely Isotropic Plastic Properties, Int. J. Mech. Sci., 19, 651, 10.1016/0020-7403(77)90070-4

Gotoh, 1977, A Theory of Plastic Anisotropy Based on a Yield Function of Fourth Order (Plane Stress State), Int. J. Mech. Sci., 19, 505, 10.1016/0020-7403(77)90043-1

Hill, 1979, Theoretical Plasticity of Textured Aggregates, 85, 179

Logan, 1980, Upper-Bound Anisotropic Yield Locus Calculations Assuming 〈111〉-Pencil Glide, Int. J. Mech. Sci., 22, 419, 10.1016/0020-7403(80)90011-9

Zyczkowski, 1981

Schmitt, 1982, Damage in Sheet Metal Forming—I. Physical Behavior, Acta Met., 30, 1789, 10.1016/0001-6160(82)90095-5

Budianski, 1984, Anisotropic Plasticity of Plane-Isotropic Sheets, 15

Barlat, 1987, Crystallographic Textures, Anisotropic Yield Surfaces and Forming Limits of Sheet Metals, Mat. Sci. Eng., 91, 55, 10.1016/0025-5416(87)90283-7

Barlat, 1987, Prediction of Tricomponent Plane Stress Yield Surfaces and Associated Flow and Failure Behavior of Strongly Textured FCC Polycrystalline Sheets, Mat. Sci. Eng., 95, 15, 10.1016/0025-5416(87)90494-0

Zhu, 1987, Convexity Restrictions on Non-Quadratic Anisotropic Yield Criteria, Int. J. Mech. Sci., 29, 733, 10.1016/0020-7403(87)90059-2

Barlat, 1988, Prediction of Yield Surfaces, Forming Limits and Necking Directions for Textured FCC Sheets, 1043

Barlat, 1988, A Yield Function for Orthotropic Sheets under Plane Stress Conditions, Vol. 1, 283

Billington, 1988, Generalized Isotropic Yield Criterion for Incompressible Materials, Acta Mechanica, 72, 1, 10.1007/BF01176540

Bunge, 1988, Calculation and Representation of Complete ODF, 69

Barlat, 1989, Plastic Behavior and Stretchability of Sheet Metals. Part I: A Yield Function for Orthotropic Sheets Under Plane Stress Conditions, Int. J. Plasticity, 5, 51, 10.1016/0749-6419(89)90019-3

Lege, 1989, Characterization and Modeling of the Mechanical Behavior and Formability of a 2008-T4 Sheet Sample, Int. J. Mech. Sci., 31, 549, 10.1016/0020-7403(89)90104-5

Lian, 1989, Application of Hill's New Theory to Sheet Metal Forming—Part I. Hill's 1979 Criterion and its Application to Predicting Sheet Forming Limit, Int. J. Mech. Sci., 31, 237, 10.1016/0020-7403(89)90001-5

Chung, 1990, Finite Element Simulation of Sheet Metal Forming for Planar Anisotropic Metals, Int. J. Plasticity

Hill, 1990, Constitutive Modelling of Orthotropic Plasticity in Sheet Metals, J. Mech. Phys. Solids, 38, 405, 10.1016/0022-5096(90)90006-P