An historical perspective of yield surface investigations for metals

Abstract This survey reviews work dealing either directly or indirectly with initial and subsequent yield surfaces. Emphasis is placed primarily on experimental investigations. Features of the work surveyed which are discussed include motivation, discrepancies, attempts to overcome discrepancies, and the nature of further work needed.

[1]  V. N. Bastun,et al.  Applicability of various plasticity conditions to anisotropic steel , 1966 .

[2]  K. C. Valanis,et al.  A theory of viscoplasticity without a yield surface , 1970 .

[3]  W. Lode,et al.  Versuche über den Einfluß der mittleren Hauptspannung auf das Fließen der Metalle Eisen, Kupfer und Nickel , 1926 .

[4]  K. Ikegami,et al.  Experimental study of the subsequent yield surface by using cross-shaped specimens , 1968 .

[5]  W. Szczepiński,et al.  An experimental study of yield surfaces of prestrained brass , 1965 .

[6]  O. M. Sidebottom,et al.  Incremental versus total-strain theories for proportionate and nonproportionate loading of torsion-tension members , 1967 .

[7]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[8]  Stress-strain relations in plasticity and related topics : Technical report no. 2: An experimental study of biaxial stress-strain relations in plasticity. , 1954 .

[9]  William Prager,et al.  Strain Hardening Under Combined Stresses , 1945 .

[10]  A note on a test of the plastic isotropy of metals , 1953 .

[11]  Hans-Werner Ziegler A Modification of Prager's Hardening Rule , 1959 .

[12]  Martin A. Eisenberg,et al.  On nonlinear kinematic hardening , 1968 .

[13]  L. Kachanov,et al.  Foundations Of The Theory Of Plasticity , 1971 .

[14]  Z. Mroz,et al.  Yield criterion and second-order effects in plane-stress , 1973 .

[15]  R. Schmidt,et al.  Über den Zusammenhang von Spannungen und Formänderungen im Verfestigungsgebiet , 1932 .

[16]  Rodney Hill,et al.  The essential structure of constitutive laws for metal composites and polycrystals , 1967 .

[17]  D. C. Drucker,et al.  ON THE ROLE OF EXPERIMENT IN THE DEVELOPMENT OF THEORY , 1962 .

[18]  D. C. Drucker CHAPTER 4 – STRESS-STRAIN RELATIONS IN THE PLASTIC RANGE OF METALS—EXPERIMENTS AND BASIC CONCEPTS , 1956 .

[19]  William Prager,et al.  The Theory of Plasticity: A Survey of Recent Achievements , 1955 .

[20]  A. Phillips,et al.  An experimental investigation of yield surfaces at elevated temperatures , 1972 .

[21]  J. L. M. Morrison The Criterion of ‘Yield’ of Gun Steels , 1948 .

[22]  W. Szczepiński,et al.  An experimental study of the effect of the prestraining history on the yield surfaces of an aluminium alloy , 1968 .

[23]  Pericles S. Theocaris,et al.  Experimental investigation of subsequent yield surfaces using the Moiré method , 1965 .

[24]  Zenon Mróz,et al.  On the description of anisotropic workhardening , 1967 .

[25]  Hans-Werner Ziegler,et al.  On Prager's hardening rule , 1958 .

[26]  P. V. McLaughlin Properties of Work-Hardening Materials With a Limit Surface , 1973 .

[27]  Aris Phillips POINTED VERTICES IN PLASTICITY , 1960 .

[28]  On the Strength of Ductile Materials under Combined Stress , 1899 .

[29]  P. V. McLaughlin,et al.  Plastic limit behavior and failure of filament reinforced materials , 1972 .

[30]  W. M. Shepherd,et al.  An Experimental Investigation of Plastic Stress—Strain Relations , 1950 .

[31]  J. Morrison The Yield of Mild Steel with Particular Reference to the Effect of Size of Specimen , 1939 .

[32]  R. Hill,et al.  XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. , 1951 .

[33]  J. A. Stricklin,et al.  A COMPARISON OF CURRENT WORK-HARDENING MODELS USED IN THE ANALYSIS OF PLASTIC DEFORMATIONS , 1973 .

[34]  P. Perzyna,et al.  Recent trends in the development of the theory of plasticity , 1963 .

[35]  R. Hill The mathematical theory of plasticity , 1950 .

[36]  P. M. Naghdi,et al.  A general theory of an elastic-plastic continuum , 1965 .

[37]  J. L. Sanders PLASTIC STRESS-STRAIN RELATIONS BASED ON LINEAR LOADING FUNCTIONS , 1953 .

[38]  W M Mair An investigation into the existence of corners on the yield surface , 1967 .

[39]  D. C. Drucker Some implications of work hardening and ideal plasticity , 1950 .

[40]  K. Valanis On the thermodynamic foundation of classical plasticity , 1970 .

[41]  Siegfried S. Hecker,et al.  Yield surfaces in prestrained aluminum and copper , 1971 .

[42]  D. C. Drucker,et al.  Some extensions of elementary plasticity theory , 1951 .

[43]  D. C. Drucker,et al.  The significance of the criterion for additional plastic deformation of metals , 1949 .

[44]  Aris Phillips,et al.  The effect of loading path on the yield surface at elevated temperatures , 1972 .

[45]  Y. Fung Foundations of solid mechanics , 1965 .

[46]  W. M. Mair,et al.  Effect of Pre-Strain on Yield Surfaces in Copper , 1964 .

[47]  A. Baltov,et al.  A rule of anisotropic hardening , 1965 .

[48]  W. Findley,et al.  Experiments to determine small offset yield surfaces for 304L stainless steel under combined tension and torsion , 1973 .

[49]  S. Bodner,et al.  A Large Deformation Elastic-Viscoplastic Analysis of a Thick-Walled Spherical Shell , 1972 .

[50]  J. Rice Continuum Plasticity in Relation to Microscale Deformation Mechanisms , 1973 .

[51]  P. M. Naghdi,et al.  A comment on drucker's postulate in the theory of plasticity , 1965 .

[52]  A. Phillips,et al.  On the concept of the yield surface , 1965 .

[53]  Walter A. Scoble A.R.C.Sc. B.Sc. LXI. The strength and behaviour of ductile materials under combined stress , 1906 .

[54]  J. Rice On the Structure of Stress-Strain Relations for Time-Dependent Plastic Deformation in Metals , 1970 .

[55]  T. D. Dudderar,et al.  Neutron Irradiation and the Yield Surfaces of Copper , 1967 .

[56]  J. Seigle,et al.  Limite élastique et résistance des aciers doux recuits dans le cas d’efforts combinés de traction et de torsion , 1925 .

[57]  H. M. Westergaard On the resistance of ductile materials to combined stresses in two or three directions perpendicular to one another , 1920 .

[58]  J. D. Lubahn,et al.  Plasticity and creep of metals , 1961 .

[59]  Geoffrey Ingram Taylor,et al.  The Plastic Distortion of Metals , 1932 .

[60]  W. T. Koiter Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface , 1953 .

[61]  Paul Mansour Naghdi,et al.  An experimental study of initial and subsequent yield surfaces in plasticity , 1957 .

[62]  H. J. Ivey Plastic Stress–Strain Relations and Yield Surfaces for Aluminium Alloys , 1961 .

[63]  J. W. Phillips,et al.  Elastic behavior, brittle failure and plastic flow of filamentary materials , 1973 .

[64]  P. R. Paslay,et al.  A Small-Strain Plasticity Theory for Planar Slip Materials , 1969 .

[65]  G. L. Baraya,et al.  Determination of yield surfaces by notched strip specimens , 1963 .

[66]  B. O. Almroth,et al.  An experimental investigation of plastic flow under biaxial stress , 1970 .

[67]  H. Ford,et al.  An experimental investigation of the yield criterion and the stress-strain law , 1957 .

[68]  J. Ellington An investigation of plastic stress-strain relationships using grooved tensile specimens , 1958 .

[69]  Experimental evaluation of incremental theories for nonproportionate loading of thin-walled cylinders , 1969 .

[70]  A new method for determining the yield criterion and plastic potential of ductile metals , 1953 .

[71]  Aris Phillips,et al.  Experimental Investigation of Corners in the Yield Surface , 1961 .

[72]  Kinematic-Hardening in Zinc-Alloy Tubes , 1965 .

[73]  Joseph Marin,et al.  Failure Theories of Materials Subjected to Combined Stresses , 1936 .

[74]  T. Hsu Definition of the yield point in plasticity and its effect on the shape of the yield locus , 1966 .

[75]  T. H. H. Pian,et al.  Theory of Inelastic Structures , 1969 .

[76]  S. Hecker Experimental investigation of corners in the yield surface , 1972 .

[77]  Aris Phillips Yield Surfaces of Pure Aluminum at Elevated Temperatures , 1970 .

[78]  A. P. Green,et al.  A determination of plastic stress-strain relations , 1954 .

[79]  Michael J. Michno,et al.  Subsequent Yield Surfaces for Annealed Mild Steel Under Dead-Weight Loading: Aging, Normality, Convexity, Corners, Bauschinger, and Cross Effects , 1974 .

[80]  D. C. Drucker,et al.  Introduction to Mechanics of Deformable Solids , 1967 .

[81]  William Prager,et al.  Recent Developments in the Mathematical Theory of Plasticity , 1949 .

[82]  James J. Guest,et al.  V. On the strength of ductile materials under combined stress , 1900 .

[83]  Bernard Budiansky,et al.  A Mathematical Theory of Plasticity Based on the Concept of Slip , 1949 .

[84]  W. T. Koiter General theorems for elastic plastic solids , 1960 .

[85]  W. Findley,et al.  Subsequent Yield Surfaces for Annealed Mild Steel Under Servo-Controlled Strain and Load Histories: Aging, Normality, Convexity, Corners, Bauschinger and Cross Effects , 1975 .

[86]  Aris Phillips,et al.  On the Foundations of Thermoplasticity—An Experimental Investigation , 1973 .

[87]  W. Prager,et al.  Theory of perfectly plastic solids , 1968 .

[88]  A. A. Il'iushin ON THE POSTULATE OF PLASTICITY , 1961 .

[89]  A. Phillips,et al.  Stability and convexity in plasticity , 1966 .

[90]  John Parker,et al.  Plastic Stress-Strain Relationships—Some Experiments to Derive a Subsequent Yield Surface , 1964 .

[91]  V. Novozhilov,et al.  The theory of plasticity which takes into account residual microstresses , 1958 .

[92]  William Prager,et al.  Introduction to Plasticity , 1960 .