Abstract
A plasticity correction factor for the dynamic stress-intensity factor,K I dyn, associated with a propagating crack tip in the presence of small-scale yielding, is derived from Kanninen's solution for a constant-velocity Yoffe crack with a Dugdale-strip yield zone. Distortions in the otherwise elastic isochromatics surrounding the constant-velocity crack tip are also studied by the use of this model. This plasticity correction factor is then used to evaluateK I dyn from the dynamic isochromatics of a propagating crack in a 3.2-mm-thick polycarbonate wedge-loaded rectangular double-cantilever-beam specimen. The correctedK I dyn is in good agreement with the corresponding values computed by a dynamic, elastic-plastic finite-element code executed in its generation mode.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dally, J.W., “Dynamic Photoelastic Studies of Fracture,”Experimental Mechanics,19 (10),349–367 (Oct.1979).
Kobayashi, A.S., Seo, K., Jou, J.Y. andUrabe, Y., “A Dynamic Analysis of Modified Compact-tension Specimens Using Homalite-100 and Polycarbonate Plates,”Experimental Mechanics,20, (3),73–79 (March1980).
Kalthoff, J.F., Beinert, J. andWinkler, S., “Measurements of Dynamic Stress Intensity Factors for Fast Running and Arresting Cracks in Double-cantilever-Beam Specimens,” Fast Fracture and Crack Arrest, ASTM STP 627, 161–176 (July1977).
Katsamams, F., Raftopoulos, D., andTheocaris, P.S., “The Dependence of Crack Velocity on the Critical Stress in Fracture,”Experimental Mechanics,17 (4),128–132 (April1977).
Kalthoff, J.F., “Effect of Specimen Geometry on Crack Arrest Toughness,” a paper presented at the Joint ASME/CSME Pressure Vessel and Piping Conference, Montreal, Canada (1979).
Kanninen, M.F., Gehlen, P.C., Barnes, C.P., Hoagland, R.G., Hahn, G.T. and Popelar, C.H., “Dynamic Crack Propagation Under Impaco Loading,” Nonlinear and Dynamic Fracture Mechanics, ed. by N. Perrone and S.N. Atluri, AMD-Vol. 35, ASME, 195–200 (1979).
Achenbach, J.D., Burgers, P. and Dunayevsky, V., “Near-Tip Plastic Deformations in Dynamic Fracture Problems,” Nonlinear and Dynamic Fracture Mechanics, ed. by N. Perrone and S.N. Atluri, AMD-Vol. 3,, ASME, 105–124 (1979).
Achenbach, J.D. and Kanninen, M.F., “Crack Tip Plasticity in Dynamic Fracture Mechanics,” Fracture Mechanics, ed. by N. Perrone, H. Liebowitz, D., Mulville and W. Pilkey, University Press of Virginia, 649–670 (1978).
Zachary, L.W. andRiley, W.F., “Optical Response and Yield Behavior of a Polyester Model Material,”Experimental Mechanics,17 (9),321–326 (Sept.1977).
Doyle, J.I., “An Interpretation of Photoviscoelastic/Plastic Data,”Experimental Mechanics,20 (2),65–67 (Feb.1980).
Freire, J.L.F. andRiley, W.F., “Yield Behavior of Photoplastic Materials,”Experimental Mechanics,20 (4),118–125 (April1980).
Theocaris, P.S., “Local Yielding Around a Crack Tip in Plexiglas,”J. of Applied Mech., Trans. of ASME,37,Series E,No. 2,409–415 (June1970).
Irwin, G.R., “Plastic Zone Near a Crack and Fracture Toughness,” Proceedings of the Sagamore Ordinance Materials Research Conference, Report ME TE 661-611/F, Syracuse Research Institute, IV 63–78 (1960).
Kannien, M.F., “An Estimate of the Limiting Speed of a Propagating Ductile Crack,”J. of Mech. and Physics of Solids,16,215–225 (1968).
Yoffe, E.H., “The Moving Griffith Crack,”Philosophical Magazine,42,739–750 (1951).
Freund, L.B., “Dynamic Crack Propagation,” The Mechanics of Fracture, ed. by F. Erdogan, ASME AMD-Vol. 19, 104–134 (1976).
Mall, S. and Kobayashi, A.S., “Dynamic Photoelastic and Dynamic Finite Element Analyses of Polycarbonate Dynamic Tear Test Specimens,” Fracture Mechanics, ed. by C.W. Smith, ASTM STP 677, 488–510 (1979).
Kobayashi, A.S. andRamulu, M., “Dynamic Stress-intensity Factors for Unsymmetric Dynamic Isochromatics,”Experimental Mechanics,21 (1),41–48 (1981).
Dally, J.W. andSanford, R.J., “Classification of Stress-intensity Factors from Isochromatic-fringe Patterns,”Experimental Mechanics,18 (12),441–448 (Dec.1978).
Yee, A.F., “The Yield and Deformation Behavior of Some Polycarbocate Blend,” General Electric Technical Information Series 76 CRD 130 (Aug. 1976).
Atluri, S.N., Nishioka, T. and Nakagaki, M., “Numerical Modeling of Dynamic and Nonlinear Crack Propagation in Finite Bodies by Moving Singularities,” Nonlinear and Dynamic Fracture Mechanics, ed. by N. Perrone and S.N. Atluri, ASME AME-No. 35,37–66 (1979).
Perl, M., “An Improved Dynamic Analysis of Crack Inititation, Fast Crack Propagation and Arrest in the DCB Specimen,” Emerging Technologies in Aerospace Structures, Design, Structural Dynamics and Materials, ASME Century 2 publications, 273–284 (1980).
Mall, S., Kobayashi, A.S. andUrabe, Y., “Dynamic Photoelastic and Dynamic Finite-element Analysis of Dynamic-tear-test Specimens,”Experimental Mechanics,18 (12),449–456 (Dec.1978).
Dally, J.W. andShukla, A., “Dynamic Crack Behavior at Initiation,”Mechanics Research Communication,6 (4),239–244 (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Betser, A.A., Kobayashi, A.S., Lee, O.S. et al. Crack-tip dynamic isochromatics in the presence of small-scale yielding. Experimental Mechanics 22, 132–138 (1982). https://doi.org/10.1007/BF02325542
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02325542