Abstract
The field of fracture mechanics originated in the 1920’s with A.A. Griffith’s work on fracture of brittle materials such as glass. Its most significant applications, however, have been for controlling brittle fracture and fatigue failure of metallic structures such as pressure vessels, airplanes, ships and pipelines. Considerable development has occurred in the last twenty years in modifying Griffith’s ideas or in proposing new concepts to account for the ductility typical of metals. As a result of these efforts, standard testing techniques have been available to obtain fracture mechanics parameters for metals, and design based on these parameters are included in relevant specifications.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Reference
Velazco, G., Visalvanich, K., and Shah, S.P., Fracture Behavior and Analysis of Fiber Reinforced Concrete Beams, Cement and Concrete Research, 10, pp. 41–51 (1980).
Shah, S.P. and Chandra, J., Critical Stress, Volume Change, and Microcracking of Concrete, Journal of the American Concrete Institute, 65, pp. 770–781 (1968).
Shah, S.P., and Slate, F.O., Internal Microcracking, Mortar-aggregate Bond and the Stress-Strain Curve of Concrete, The Structure of Concrete (International Conference, London, 1965); Cement and Concrete Association, London, pp. 82–92, (1968).
Shah, S.P., and Winter, G., Inelastic Behavior and Fracture of Concrete, Couses, Mechanism and Control of Cracking in Concrete, SP-20, American Concrete Institute, pp. 5–28 (1968).
Shah, S.P., and McGarry, F.J., Griffith Fracture Criterion and Concrete, Journal of the Engineering Mechanics Division, ASCE, EM6, pp. 1663–1676 (1971).
Wecharatana, M., and Shah, S.P., Double Torsion Tests for Studying Slow Growth of Portland Cement Mortar, Cement and Concrete Research 10, pp. 833–844 (1980).
Wecharatana, M., and Shah, S.P., Slow Crack Growth in Cement Composites, Journal of Structural Division, ASCE, June 1982.
Wecharatana, M., and Shah, S.P., Prediction of Nonlinear Fracture Process Zone in Concrete, Journal of the Engineering Mechanics Division, ASCE, to be published.
Wecharatana, M., and Shah, S.P., A Model for Predicting Fracture Resistance of Fiber Reinforced Concrete, Cement and Concrete Research, (submitted).
Fracture Toughness Evaluation by R-curve Methods, ASTM-STP 692, ASTM, Philadelphia 1973.
Mai, Y.W., Strength and Fracture Properties of Asbestos-Cement Mortar Composites, Journal of Material Science, 14, pp. 2091–2102 (1979).
Lenian, J.C., and Bunsell, A.R., The Resistance to Crack Growth of Asbestos Cement, Journal of Material Science, 14, pp. 321–332 (1979).
Andonian, R., Mai, Y.W., and Cotterell, B., Strength and Fracture Properties of Cellulose Fiber Reinforced Cement Composites, Int. J. Cement Composites, 1, pp. 151–158 (1979).
Brown, J.H., Measuring the Fracture Toughness of Cement Paste and Mortar, Magazine of Concrete Research, 24, pp. 185–196 (1972).
Irwin, G.R. and Nies, J.A., A Critical Energy Rate Analysis of Fracture Strength, Welding Research Supplement, 1954, pp. 195–198.
Hillemeier, B., and Hilsdorf, H.M., Fracture Mechanics Studies on Concrete Compounds, Cement and Concrete Research, 24, pp. 185–196 (1977).
Dugdale, D.S., Yielding of Steel Sheets Containing Slits, Journal of Mechanics & Physics of Solids, 8, pp. 100–104 (1960).
Williams, J.G., Visco–Elastic and Thermal Effect on Crack Growth in PMMA,Inter. Journal of Fracture, 8, pp. 393–401 (1972).
Barenblatt, G.J., The Mathematical Theory of Equilibrium Crack in the Brittle Fracture, Advance in Applied Mechanics, 7, pp. 55–125 (1962).
Foote, R.M.L., Cotterell, B., and Mai, Y.W., Crack Growth Resistance for a Cement Compo¬site, Advances in Cement-Matrix Composites, Proceedings Symposium, Material Research Society, Annual Meeting, Boston, Massachusetts, pp. 135–144 (1980).
Petersson, P.E., Fracture Mechanical Calculations and Tests for Fiber Reinforced Cementitious Materials, Advances in Cement-Matrix Composites, Proceedings, Symposium L, Materials Research Society, Annual Meeting, Boston, Massachusetts, pp. 95–106 (1980).
Shah, S.P., Stroeven, P., Dolhuisen, D., and Stakelengerg, P. von, Complete Stress-train Curves for Steel Fiber Reinforced Concrete in Uniaxial Tension and Compression, Proceedings, International Symposium, RILEM-ACI=ASTM, Sheffield, pp. 399–408 (1978).
Naaman, A.E., Moavenzadeh, F., and McGarry, F.J., Probabilistic Analysis of Fiber Reinforced Concrete, Proceedings of ASCE, Journal of Eng. Mech. Div., 100, pp. 397 (1974).
Visalvanich, K., Ph.D. Dissertation, Dept. of Material Engineering, University of Illinois, Chicago, 1982.
Swamy, R.N., Manget, P.J., and Roa, C.V.S.V., The Mechanics of Fiber Reinforcement of Cement Matrices, in Fiber Reinforced Concrete, ACI Publication SP–49, pp. 1–28 (1974).
William, D.P., and Evans, A.G., A simple Method for Studying Slow Crack Growth, Journal of Testing and Evaluation, l,pp. 264–276 (1973).
Fuller, E.R., An Evaluation of Double Torsion Testing, Analysis in Fracture Mechanics Applied to Brittle Materials, ASTM - STP 678, pp. 3–18 (1979) (S.W. Frieman, Editor).
Wiederhorn, S.M., Shorb, A.M., and Moses, R.L., Critical Analysis of the Theory of the Double Cantilever Method of Measuring Fracture - Surface Energies, J, of Applied Physics, 39, pp. 1562–1572(1968).
Lott, J.L., Kesler, C.E., and Naus, D.J., Fracture Mechanics-Its Applicability to Concrete, Mechanical Behavior of Materials, Vol. IV, Society of Materials Science, Japan, pp. 113– 124 (1972).
Schinker, M.G., and Doll, W., Interference Optical Measurements of Large Deformations at the Tip of a Running Crack in a Glassy Thermoplastic, Mechanical Properties of Materials at High Rates of Strain, Ed., J. Harding, Inst. Phys. Conf. Ser., No. 47, Chapter 2, pp. 224– 232 (1979).
Okamura, H., Watanabe, K., and Takano, T., Deformation and Strength of Crack Member Under Bending Moment and Axial Force, Engineering Fracture Mechanics, 7, pp. 531–539 (1975).
Walsh, P.F., Fracture of Plain Concrete, Indian Concrete Journal, 46, pp. 469–470, 476 (1972).
Mindess, S., Lawrence, F.V. and Kesler, C.E., The J-Integral as a Fracture Criterion for Fiber Reinforced Concrete, Cement and Concrete Research, 7, pp. 731–742 (1977).
Kaplan, M.F., Crack Propagation and the Fracture of Concrete, Proceedings, ACI Journal, 58, pp. 591–610 (1961).
Naus, D.J., and Lott, J.L., Fracture Toughness of Portland Cement Concretes, A CI Journal, pp. 481–489 (1969).
Swartz, S.E., Hu, K.K., Fiartach, M., and Huang, C.J., Stress Intensity Factor for Plain Concrete in Bending-Prenotched versus Precracked Beams, (to be published).
Huang, C.J., Swartz, S.E., and Hu, K.K., On the Experimental and Numerical Analysis of Fracture Toughness of Plain Concrete Beams ASTM Symposium on Fracture Mechanics Methods for Ceramics, Rocks and Concrete, Chicago, Illinois (1980).
Brown, W.F., Jr., and Srawley, J.E., Plain Strain Crack Toughness Testing of High Strength Metallic Materials, ASTM-STP 410, ASTM, Philadelphia (1967).
Henager, C.H., A Toughness Index for Fiber Concrete, RILEM Symposium, edited by R.N. Swamy, pp. 79–86 (1978).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Martinus Nijhoff Publishers, The Hague
About this chapter
Cite this chapter
Shah, S.P. (1984). Dependence of concrete fracture toughness on specimen geometry and on composition. In: Carpinteri, A., Ingraffea, A.R. (eds) Fracture mechanics of concrete: Material characterization and testing. Engineering Application of Fracture Mechanics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6149-4_4
Download citation
DOI: https://doi.org/10.1007/978-94-009-6149-4_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6151-7
Online ISBN: 978-94-009-6149-4
eBook Packages: Springer Book Archive