Two-Parameter Model of a Mode I Crack in an Elastoplastic Body under Plane-Strain conditions

The Dugdale crack model is generalized to the case of plane strain. The governing equations are set up to determine the stresses in the plastic zone. Numerical results from specific problems are analyzed and compared with those for plane stress state and other cases. A relationship between the crack model and KI-T theory is established in the case of small-scale yielding at the crack tip

[1]  Generalized model of a Dugdale crack , 1989 .

[2]  Yan Chen,et al.  Closed form solutions of T-stress in plane elasticity crack problems , 2000 .

[3]  E. Orowan,et al.  Fracture and strength of solids , 1949 .

[4]  M. Williams,et al.  On the Stress Distribution at the Base of a Stationary Crack , 1956 .

[5]  A. J. Carlsson,et al.  Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials , 1973 .

[6]  Yuh J. Chao,et al.  Higher order asymptotic crack tip fields in a power-law hardening material , 1993 .

[7]  G. P. Nikishkov,et al.  Calculation of the second fracture parameter for finite cracked bodies using a three-term elastic-plastic asymptotic expansion , 1995 .

[8]  G. Galatenko.  A Ring-Shaped Plastic Zone at an Elliptic Crack under Triaxial Axisymmetric Loading , 2004 .

[9]  A. A. Kaminskii,et al.  Initial Development of the Prefracture Zone Near the Tip of a Crack Reaching the Interface Between Dissimilar Media , 2004 .

[10]  Theo Fett,et al.  T-stresses in rectangular plates and circular disks , 1998 .

[11]  D. S. Dugdale.  Yielding of steel sheets containing slits , 1960 .

[12]  L. Kipnis,et al.  Modeling of the Crack Tip Plastic Zone by Two Slip Lines and the Order of Stress Singularity , 2004 .

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

[14]  S. Yarema,et al.  Plastic deformation around crack and fracture criteria: A review , 1975 .

[15]  G. P. Cherepanov,et al.  Fracture : a topical encyclopedia of current knowledge , 1998 .

[16]  C. Shih,et al.  Family of crack-tip fields characterized by a triaxiality parameter—I. Structure of fields , 1991 .

[17]  N.J.I. Adams.  Some comments on the effect of biaxial stress on fatigue crack growth and fracture , 1973 .

[18]  C. Shih,et al.  Family of crack-tip fields characterized by a triaxiality parameter—II. Fracture applications , 1992 .

[19]  G. Irwin.  ANALYSIS OF STRESS AND STRAINS NEAR THE END OF A CRACK TRAVERSING A PLATE , 1957 .

[20]  G. Galatenko.  Model of Plastic Deformation at the Front of a Circular Crack Under Nonaxisymmetric Loading , 2003 .

[21]  G. Galatenko.  Elastoplastic fracture of an isotropic plate with a crack under biaxial loading , 1989 .

[22]  P. Leevers,et al.  Inherent stress biaxiality in various fracture specimen geometries , 1982 .

[23]  Toward an elastoplastic model of a normal-break crack under deformation , 1992 .

[24]  C. F. Shih,et al.  Higher-order analysis of crack tip fields in elastic power-law hardening materials , 1993 .

[25]  A. A. Griffith.  The Phenomena of Rupture and Flow in Solids , 1921 .

[26]  A. A. Kaminskii,et al.  Long-term crack resistance of an orthotropic viscoelastic plate with a crack under biaxial loading. Safe loads , 1995 .

[27]  A. N. Guz,et al.  Description and Study of Some Nonclassical Problems of Fracture Mechanics and Related Mechanisms , 2000 .

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

[29]  Nonlinear crack mechanics , 1994 .

[30]  Validity limits of the Dugdale model for thin cracked plates under biaxial loading , 1979 .

[31]  Nikolaos Aravas,et al.  Determination of higher-order terms in asymptotic elastoplastic crack tip solutions , 1991 .

[32]  G. Galatenko.  The Stress Intensity Factor for an Elliptic Crack Under a Piecewise-Constant Load , 2002 .

[33]  J. Hancock,et al.  Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields , 1991 .