Notch sensitivity in fracture testing of aggregative materials

Abstract The notch sensitivity effects on fracture testing of aggregative materials, and more generally of brittle materials, the specimen and crack sizes varying, have been studied based on the Dimensional Analysis. Such effects are due to the co-existence of two different structural crises, induced by generalized forces with different physical dimensions, and to the finiteness of specimen sizes. The application of Buckingham's Theorem allows the definition of a non-dimensional parameter s (the test brittleness number), which governs the notch sensitivity phenomenon. Some recurring experimental inconsistencies are thus explained, such as: 1. (1) The increase or decrease of fracture toughness K Ic by increasing the crack length; 2. (2) The increase of K Ic by increasing the specimen sizes; 3. (3) The variability of K Ic by varying the test typology.

[1]  W. A. Logsdon,et al.  The Applicability of Fracture Mechanics Technology to Porcelain Ceramics , 1974 .

[2]  Desjuzeur RÉSISTANCE DES MATÉRIAUX , 1912 .

[3]  Scale effects and crack propagation in non-linear elastic structures , 1975 .

[4]  H. Hilsdorf,et al.  Fracture mechanics studies on concrete compounds , 1977 .

[5]  R. Goldstein,et al.  Material scale length as a measure of fracture toughness in fracture mechanics of plastic materials , 1978, International Journal of Fracture.

[6]  R. A. Schmidt,et al.  Fracture-toughness testing of limestone , 1976 .

[7]  Anthony G. Atkins,et al.  The laws of similitude and crack propagation , 1974 .

[8]  Jd Landes,et al.  THE J INTEGRAL AS A FRACTURE CRITERION , 1972 .

[9]  J. L. Lott,et al.  Fracture Mechanics of Concrete , 1974 .

[10]  F. Moavenzadeh,et al.  FRACTURE OF CONCRETE , 1969 .

[11]  P. F. Walsh Crack initiation in plain concrete , 1976 .

[12]  E. Viola,et al.  Plane strain interfacial fracture analysis of a bimaterial incompressible body , 1981 .

[13]  J. P. Henry,et al.  Experimental study of crack propagation in calcite rocks , 1977 .

[14]  P. Desayi Fracture of concrete in compression , 1977 .

[15]  W. K. Wilson Stress intensity factors for deep cracks in bending and compact tension specimens , 1970 .

[16]  D. Munz,et al.  Effect of Specimen Size on Fracture Toughness of a Titanium Alloy , 1976 .

[17]  G. Chell,et al.  Effect of Size on the J Fracture Criterion , 1979 .

[18]  Anthony H. Bryant,et al.  Experimental Tests on Concrete Fracture , 1979 .

[19]  G. B. Welch,et al.  The application of fracture mechanics to concrete and the measurement of fracture toughness , 1969 .

[20]  J. L. Lott,et al.  Fracture Toughness of Portland Cement Concretes , 1969 .

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

[22]  J. H. Brown,et al.  Measuring the fracture toughness of cement paste and mortar , 1972 .

[23]  James C. Newman,et al.  Recent developments in analysis of crack propagation and fracture of practical materials. [stress analysis in aircraft structures] , 1978 .

[24]  R. F. Pabst Determination of K Ic -Factors with Diamond-Saw-Cuts in Ceramic Materials , 1974 .

[25]  B Barr,et al.  A SIMPLE TEST OF FRACTURE TOUGHNESS , 1976 .

[26]  J. E. Bailey,et al.  Fracture measurements on cement paste , 1976 .

[27]  W. L. Server,et al.  The use of small specimen strength ratio for measuring fracture toughness , 1979 .

[28]  J. Begley,et al.  A Comparison of the J-Integral Fracture Criterion with the Equivalent Energy Concept , 1973 .

[29]  John R. Rice,et al.  Mathematical analysis in the mechanics of fracture , 1968 .

[30]  L. McCartney,et al.  Extensions of a statistical approach to fracture , 1979 .

[31]  Stephen P. Timoshenko Resistance des materiaux , 1968 .

[32]  B. Barr,et al.  Fracture toughness tests for concrete , 1977 .

[33]  G B Batson,et al.  Mechanics of Crack Arrest in Concrete , 1963 .

[34]  J. Kaufman,et al.  More on Specimen Size Effects in Fracture Toughness Testing , 1974 .

[35]  J. Kaufman,et al.  The effect of specimen size on the results of plane-strain fracture-toughness tests☆ , 1972 .

[36]  W. Andrews,et al.  Thickness and Side-Groove Effects on J - and δ-Resistance Curves for A533-B Steel at 93°C , 1979 .

[37]  J. Glucklich Fracture of Plain Concrete , 1963 .

[38]  Erasmo Viola,et al.  Biaxial load effects on a crack between dissimilar media , 1980 .

[39]  S. Chang,et al.  Application of the J-integral to obtain some similarity relations , 1972 .

[40]  M. F. Kaplan Crack Propagation and the Fracture of Concrete , 1961 .

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

[42]  G. Sih,et al.  Variation of strain energy release rate with plate thickness , 1971, International Journal of Fracture.

[43]  E. Viola,et al.  Collinear stress effect on the crack branching phenomenon , 1979 .

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

[45]  Surendra P. Shah,et al.  Griffith Fracture Criterion and Concrete , 1971 .

[46]  D. Miannay,et al.  J-Integral Determinations and Analyses for Small Test Specimens and Their Usefulness for Estimating Fracture Toughness , 1979 .

[47]  J. Henry,et al.  La tenacite des roches calcaires: Influence des parametres microstructuraux et de l'environment , 1977 .