Quantitative in situ study of short crack propagation in polygranular graphite by digital image correlation

This paper reports experimental observations that show non-irradiated Gilsocarbon polygranular nuclear graphite fits within the quasi-brittle class of materials. Such materials exhibit a degree of damage tolerance that depends on the stability of cracks that nucleate in the microstructure. Modelling efforts to predict the influence of microstructure on damage tolerance require direct observation of crack nucleation and growth to support them. Here, the technique of digital image correlation was applied to optical observations to measure the full field distribution of displacements on the surface of large (>100 mm dimension) specimens, loaded in uniaxial flexure. Repeated cyclic loading to strains approaching failure results in an inelastic (i.e. non-recoverable) strain, and a decrease in the static elastic modulus. Digital image correlation was also used for early detection and characterisation of fracture nuclei (short cracks). Such short cracks show a stable propagation stage before causing catastrophic failure. The displacement fields were used to calculate directly the energy release rate of the short cracks via a contour integral method. The value is consistent with the critical strain energy release rate for unstable fracture obtained from standard mode I fracture tests.

[1]  M. Sutton,et al.  Estimation of stress intensity factor by digital image correlation , 1987 .

[2]  A. Needleman,et al.  A COMPARISON OF METHODS FOR CALCULATING ENERGY RELEASE RATES , 1985 .

[3]  P. Withers,et al.  The stress intensity of mixed mode cracks determined by digital image correlation , 2008 .

[4]  Tatsuo Oku,et al.  Relation between static and dynamic Young's modulus of nuclear graphites and carbon , 1993 .

[5]  R. Shield,et al.  Conservation laws in elasticity of the J-integral type , 1977 .

[6]  Shuodao Wang,et al.  A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity , 1980 .

[7]  Anand Asundi,et al.  A white light speckle method applied to the determination of stress intensity factor and displacement field around a crack tip , 1981 .

[8]  G. Fantozzi,et al.  Fracture behaviour of carbon materials , 1991 .

[9]  J. Brennan,et al.  Effect of low-dose reactor radiation on the dynamic mechanical behavior of pyrolytic graphite. , 1967 .

[10]  Timothy D. Burchell,et al.  A microstructurally based fracture model for polygranular graphites , 1996 .

[11]  W. L. Greenstreet MECHANICAL PROPERTIES OF ARTIFICIAL GRAPHITES. A Survey Report. , 1968 .

[12]  P. Heard,et al.  Crack initiation and propagation in pile grade A (PGA) reactor core graphite under a range of loading conditions , 2010 .

[13]  A. Berezin,et al.  Finding the fracture toughness characteristics of graphite materials in plane strain , 1975 .

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

[15]  G. Neighbour,et al.  Crack growth resistance in nuclear graphites , 2002 .

[16]  M. Ayatollahi,et al.  Tensile fracture in notched polycrystalline graphite specimens , 2010 .

[17]  T. Marrow,et al.  Observation of microstructure deformation and damage in nuclear graphite , 2008 .

[18]  James Marrow,et al.  3D Studies of Indentation by Combined X-Ray Tomography and Digital Volume Correlation , 2013 .

[19]  Glaucio H. Paulino,et al.  T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method , 2003 .

[20]  M. Joyce,et al.  Damage nucleation in nuclear graphite , 2006 .

[21]  F. H. Ho,et al.  Graphite design handbook , 1988 .

[22]  P. Heard,et al.  Deformation and Fracture of Irradiated Polygranular Pile Grade A Reactor Core Graphite , 2011 .

[23]  B. Karihaloo Fracture mechanics and structural concrete , 1995 .

[24]  G. Fecher,et al.  Electron correlations in Co2Mn1−xFexSi Heusler compounds , 2008, 0811.4625.

[25]  Filippo Berto,et al.  Mixed mode brittle fracture of sharp and blunt V-notches in polycrystalline graphite , 2011 .

[26]  David J. Smith,et al.  Fracture of Aluminium Alloy 2024 under Biaxial and Triaxial loading , 2011 .

[27]  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 .

[28]  John E. Field,et al.  Measurement of crack tip displacement field using laser speckle photography , 1988 .

[29]  Fabrice Morestin,et al.  Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral , 2005 .

[30]  S. Roux,et al.  Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2D and 3D cracks , 2009 .

[31]  R. B. Tait,et al.  Damage, Crack Growth and Fracture Characteristics of Nuclear Grade Graphite using the Double Torsion Technique , 2011 .

[32]  Stéphane Roux,et al.  An extended and integrated digital image correlation technique applied to the analysis of fractured samples , 2009 .

[33]  Barry Marsden,et al.  Microstructural characterisation of nuclear grade graphite , 2006 .

[35]  T. Marrow,et al.  In situ observation of crack nuclei in poly-granular graphite under ring-on-ring equi-biaxial and flexural loading , 2011 .

[36]  J. Lambros,et al.  Investigation of crack growth in functionally graded materials using digital image correlation , 2002 .

[37]  M. Inagaki,et al.  Energy Principle of Elastic-Plastic Fracture and Its Application to the Fracture Mechanics of a Polycrystalline Graphite , 1983 .

[38]  David J. Smith,et al.  Reduction of measured toughness due to out‐of‐plane constraint in ductile fracture of aluminium alloy specimens , 2010 .