Abstract
Experimentally determined crack-opening displacements of stationary and running cracks and of inclined stationary cracks in centrally notched plates are reported in this paper. The moiré-fringe technique was used for the determination of displacement fields in test specimens of magnesium, 7075-T6 and 7178-T6 aluminum alloys. Experimentally determined crack-opening displacements were compared with corresponding re ults based on theoretical models of Westergaard, Dugdale, Craggs and Craggs-Dugdale. In addition, normal-strain fields derived from the moiré-fringe data were compared with static or dynamic strain fields of these theoretical models. The results of this investigation indicate that while the Dugdale crack is a fair model of a stationary crack in ductile materials, the Craggs crack appears to be a better representation of a running crack in the ductile materials investigated.
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References
Tiffany, C. F., andMasters, J. N., “Applied Fracture Mechanics,” Fracture Toughness and its Application, ASTM, STP, 381, 249–277 (1966).
Stone, D. E. W., andTurner, C. E., “Brittle Behavior in Laboratory-Scale Mechanical Testing,”Proc. Roy. Soc., Series A,285 (1400),85–103 (April1965).
Wells, A. A., “The Application of Fracture Mechanics to Yielding Materials,”Proc. Roy. Soc., Series A,285, (1400),34–45 (April 1965).
Williams, M. L., andSwedlow, J. L., “The Association Between Crack-Opening Displacement and Fracture Toughness,”Trans. Metallurgical Soc. of AIME,239,162–165 (February 1967).
Gross, B., Roberts, E., Jr., and Srawley, J. E., “Elastic Displacements for Various Edge-Cracked Plate Specimens,” NASA TN D-4232, 12 (November 1967).
Fisher, D. M., Bubsey, R. T., and Srawley, J. E., “Design and Use of Displacement Gage for Crack-Extension Measurements,” NASA TN D-3724 (1966).
“Discussion,”Proc. Roy. Soc., Series A,285, (1400), (April 1965).
Sih, G. C., “On the Westergaard Method of Crack Analysis,” Lehigh Univ. Inst. Res. Rep. (March 1966).
Yoffe, E. H., “The Moving Griffith Crack,”Phil. Mag., Series 7,42,739–750 (1951).
Craggs, J. W., “On the Propagation of a Crack in an Elastic-Brittle Material,”Jnl. Mech. Phys. Solids. 8,66–75 (1960).
Dugdale, D. S., “Yielding of Steel Sheet Containing Slits,” Jnl. Mech. Phys. Solids,8 (1960).
Goodier, J. N., and Field, F. A., “Plastic Energy Dissipation in Crack Propagation,” Fractures of Solids, Interscience (New York), 103–118 (1963).
Kobayashi, A. S., Harris, D. O., andEngstrom, W. L., “Transient Analysis in a Fracturing Magnesium Plate,”Experimental Mechanics,7 (10),434–440 (1967).
Kobayashi, A. S., and Engstrom, W. L., “Transient Analysis in Fracturing Aluminum Plates,” Proc. 1967 JSME Semi-International Symposium, Tokyo (September 1967).
Kanninen, M. F., Mukherjee, A. K., Rosenfield, A. R., and Hahn, G. T., “The Speed of Ductile Crack Propagation and the Dynamics of Flow in Metals,” presented at the Symposium on the Mechanical Behavior of Materials Under Dynamic Loads, San Antonio (Sept. 6–8, 1967).
Swedlow, J. L., andGerberich, W. W., “Plastic Strains and Energy Density in Cracked Plates, Part II—Comparison with Elastic Theory,”Experimental Mechanics,4, (12),345–351 (1964).
Lehr, K., and Liu, H. W., “Fatigue Crack Propagation and Strain Cycling Properties,” Interim Technical Report, Syracuse Univ., MET-E-1340-5867-I TR (May 1967).
Rosenfield, R., Dai, P. K., and Hahn, G. T., “Crack Extension and Propagation under Plane Stress,” Proc. of the 1st International Conf. on Fracture (Sendai) (1965).
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Kobayashi, A.S., Engstrom, W.L. & Simon, B.R. Crack-opening displacements and normal strains in centrally notched plates. Experimental Mechanics 9, 163–170 (1969). https://doi.org/10.1007/BF02326565
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DOI: https://doi.org/10.1007/BF02326565