Numerical procedures to model ductile crack extension

Abstract Experimental studies demonstrate a significant increase in the cleavage fracture toughness ( J c ) for shallow notched bend and tensile specimens. Dodds and Anderson have proposed a micromechanics model for cleavage that predicts the specimen size dependence of fracture toughness. This effort extends the micromechanics model to include the influence of ductile crack extension prior to cleavage. The present discussion focuses on the numerical techniques required to include finite-strain plasticity and crack growth. Key results are presented for the small-scale yielding problem to demonstrate the usefulness of these numerical procedures to model ductile crack growth.

[1]  Brian Moran,et al.  Energy release rate along a three-dimensional crack front in a thermally stressed body , 1986, International Journal of Fracture.

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

[3]  R. H. Dodds,et al.  A large strain plasticity model for implicit finite element analyses , 1992 .

[4]  T-L Sham.  A Finite-Element Study of the Asymptotic Near-Tip Fields for Mode I Plane-Strain Cracks Growing Stably in Elastic-Ideally Plastic Solids , 1983 .

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

[6]  A finite element investigation of unsteady crack growth in power-law hardening materials under small-scale yielding conditions , 1989 .

[7]  R. D. Krieg,et al.  On the numerical implementation of inelastic time dependent and time independent, finite strain constitutive equations in structural mechanics☆ , 1982 .

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

[9]  D. M. Tracey,et al.  Computational fracture mechanics , 1973 .

[10]  E. P. Sorensen,et al.  A numerical investigation of plane strain stable crack growth under small-scale yielding conditions , 1979 .

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

[12]  S. Atluri.  On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening , 1984 .

[13]  J. Dienes.  On the analysis of rotation and stress rate in deforming bodies , 1979 .

[14]  Robert H. Dodds,et al.  Software virtual machines for development of finite element systems , 1986 .

[15]  G. Johnson,et al.  A discussion of stress rates in finite deformation problems , 1984 .

[16]  Robert H. Dodds,et al.  A framework to correlate a/W ratio effects on elastic-plastic fracture toughness (Jc) , 1991 .

[17]  R. H. Dodds.  Numerical techniques for plasticity computations in finite element analysis , 1987 .

[18]  Robert H. Dodds,et al.  Specimen Size Requirements for Fracture Toughness Testing in the Transition Region , 1991 .

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