On macroscopic and microscopic analyses for crack initiation and crack growth toughness in ductile alloys

Relationships between crack initiation and crack growth toughness are reviewed by examining the crack tip fields and microscopic (local) and macroscopic (continuum) fracture criteria for the onset and continued quasi-static extension of cracks in ductile materials. By comparison of the micromechanisms of crack initiationvia transgranular cleavage and crack initiation and subsequent growthvia microvoid coalescence, expressions are shown for the fracture toughness of materials in terms of microstructural parameters, including those deduced from fractographic measurements. In particular the distinction between the deformation fields directly ahead of stationary and nonstationary cracks are explored and used to explain why microstructure may have a more significant role in influencing the toughness of slowly growing, as opposed to initiating, cracks. Utilizing the exact asymptotic crack tip deformation fields recently presented by Rice and his co-workers for the nonstationary plane strain Mode I crack and evoking various microscopic failure criteria for such stable crack growth, a relationship between the tearing modulusTR and the nondimensionalized crack initiation fracture toughnessJIc is described and shown to yield a good fit to experimental toughness data for a wide range of steels.

[1]  F. Mcclintock,et al.  Elastic-plastic mechanics of steady crack growth under anti-plane shear , 1971 .

[2]  R. McMeeking,et al.  On criteria for J-dominance of crack-tip fields in large-scale yielding , 1979 .

[3]  J. Rice,et al.  Physics of Strength and Plasticity , 1969 .

[4]  Robert M. McMeeking,et al.  Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture , 1977 .

[5]  J. Knott,et al.  Observations of fibrous fracture modes in a prestrained low-alloy steel , 1976 .

[6]  M. F. Kanninen,et al.  Inelastic Behavior of Solids , 1970, Science.

[7]  Jacques Masounave,et al.  Effect of grain size on the threshold stress intensity factor in fatigue of a ferritic steel , 1976 .

[8]  G.J.L. van der Wegen,et al.  A Comparison between Different Theories Predicting the Stacking Fault Energy from Extended Nodes , 1980 .

[9]  John R. Rice,et al.  Mechanics of Crack Growth , 1976 .

[10]  R. Jones,et al.  Advances in Fracture Research , 1986 .

[11]  C. Shih,et al.  Relationships between the J-integral and the crack opening displacement for stationary and extending cracks , 1981 .

[12]  Alloys.  The microstructure and design of alloys : proceedings of the Third International Conference on the Strength of Metals and Alloys, Cambridge, England, 20-25 August 1973 , 1973 .

[13]  Pc Paris,et al.  The Theory of Instability of the Tearing Mode of Elastic-Plastic Crack Growth , 1979 .

[14]  ROBERT. F. LEGGET,et al.  American Society for Testing and Materials , 1964, Nature.

[15]  C. Shih,et al.  Elastic-Plastic Fracture: Second Symposium, Volume I—Inelastic Crack Analysis , 1983 .

[16]  C. Shih,et al.  CHARACTERIZATION OF CRACK INITIATION AND GROWTH WITH APPLICATIONS TO PRESSURE VESSEL STEELS , 1980 .

[17]  John W. Hutchinson,et al.  Singular behaviour at the end of a tensile crack in a hardening material , 1968 .

[18]  Robert O. Ritchie,et al.  Critical fracture stress and fracture strain models for the prediction of lower and upper shelf toughness in nuclear pressure vessel steels , 1979 .

[19]  J. Rice.  A path-independent integral and the approximate analysis of strain , 1968 .

[20]  A. C. Mackenzie,et al.  On the influence of state of stress on ductile failure initiation in high strength steels , 1977 .

[21]  Albert S. Kobayadhi.  Experimental Techniques in Fracture Mechanics , 1975 .

[22]  F. Mcclintock.  Mechanics in Alloy Design , 1977 .

[23]  James R. Welty,et al.  Velocity Measurements for Buoyancy-Induced Flow in Mercury Adjacent to Vertical Single Cylinders , 1976 .

[24]  W. Andrews,et al.  Single Specimen Tests for J Ic Determination , 1976 .

[25]  Anthony G. Evans,et al.  Statistical aspects of cleavage fracture in steel , 1983 .

[26]  Gr Irwin,et al.  Plasticity Aspects of Fracture Mechanics , 1965 .

[27]  John R. Rice,et al.  Asymptotic analysis of growing plane strain tensile cracks in elastic-ideally plastic solids , 1982 .

[28]  H. Saunders,et al.  Book Reviews : Fracture and Fatigue Control in Structures - Application of Fracture Mechanics: S.T. Rolfe and J.M. Barsom Prentice-Hall, Inc., Englewood Cliffs, NJ, 1977 , 1979 .

[29]  John W. Hutchinson,et al.  Stability Analysis of J -Controlled Crack Growth , 1979 .

[30]  T. Shoji.  Crack-tip blunting and crack-opening displacement under large-scale yielding , 1976 .

[31]  J. Rice,et al.  Plane strain deformation near a crack tip in a power-law hardening material , 1967 .

[32]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[33]  D. Curry.  Predicting the temperature and strain rate dependence of the cleavage fracture toughness of ferritic steels , 1980 .

[34]  A. D. Wilson.  The Influence of Inclusions on the Toughness and Fatigue Properties of A516-70 Steel , 1979 .

[35]  John R. Rice,et al.  Continuing crack-tip deformation and fracture for plane-strain crack growth in elastic-plastic solids , 1978 .

[36]  T. Baker,et al.  The threshold stress intensity for hydrogen-induced crack growth , 1981 .

[37]  F. A. McClintock,et al.  A Criterion for Ductile Fracture by the Growth of Holes , 1968 .

[38]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[39]  F. Haessner,et al.  Influence of impurity elements on the stored energy and recrystallization temperature of rolled copper single crystals , 1976 .

[40]  A. Thompson,et al.  Identification of a fracture mode: the tearing topography surface , 1979 .

[41]  J. F. Knott,et al.  The Initiation and Propagation of Ductile Fracture in Low Strength Steels , 1976 .

[42]  R. Ritchie.  Why Ductile Fracture Mechanics , 1983 .

[43]  C. Shih,et al.  Studies on Crack Initiation and Stable Crack Growth , 1979 .

[44]  A. Thompson.  The relation between changes in ductility and in ductile fracture topography: Control by microvoid nucleation , 1983 .

[45]  D. M. Parks.  Interpretation of Irradiation Effects on the Fracture Toughness of a Pressure Vessel Steel in Terms of Crack Tip Stress Analysis , 1976 .

[46]  J. F. Knott,et al.  ON EFFECTS OF THICKNESS ON DUCTILE CRACK GROWTH IN MILD STEEL , 1975 .

[47]  C. Turner,et al.  Slow stable crack growth in structural steel , 1978 .

[48]  John R. Rice,et al.  Elastic plastic analysis of growing cracks , 1980 .

[49]  C. Mcmahon,et al.  Solute segregation and brittle fracture in an alloy steel , 1980 .

[50]  John W. Hutchinson,et al.  Quasi-Static Steady Crack Growth in Small-Scale Yielding , 1980 .

[51]  John R. Rice,et al.  ON THE RELATIONSHIP BETWEEN CRITICAL TENSILE STRESS AND FRACTURE TOUGHNESS IN MILD STEEL , 1973 .

[52]  M. Ashby,et al.  Fracture surface micro-roughness , 1984 .

[53]  Albert S. Kobayashi,et al.  Elastic-Plastic Fracture , 1979 .

[54]  D. Curry.  Cleavage micromechanisms of crack extension in steels , 1980 .

[55]  R. Pelloux,et al.  Electron Fractography—A Tool for the Study of Micromechanisms of Fracturing Processes , 1965 .

[56]  John W. Hutchinson,et al.  Crack-tip fields in steady crack-growth with linear strain-hardening , 1977 .