Skip to main content
Log in

Dependence of crack acceleration on the dynamic stress-intensity factor in polymers

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The caustics method in combination with high-speed photography was employed to study velocity effect on the dynamic-stress-intensity factor of fast cracks in polymethyl methacrylate and in Araldite D. The specimen geometry was so determined that both the accelerating and decelerating crack propagation occurred noticeably in one fracture event. Instantaneous crack velocity as well as its acceleration were expressed as a function of the crack length by using polynomials of the ninth order which were given on the basis of the least-square method. The results show that the dynamic-stress-intensity factor depends not only on the crack velocity but also on crack acceleration, and that the accelerating crack has a smaller value stress-intensity factor than the decelerating crack at the same velocity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kobayashi, T. and Dally, J.W., “Relation between Crack Velocity and the Stress Intensity Factor in Birefringent Polymers,” Fast Fracture and Crack Arrest, ASTM STP 627, 257–273 (July 1977).

  2. Kalthoff, J.F., Beinert, J. and Winkler, 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, 161–175 (July 1977).

  3. Kobayashi, A.S. andMall, S., “Dynamic Fracture Toughness of Homalite-100,”Experimental Mechanics,18 (1),11–18 (Jan. 1978).

    Article  Google Scholar 

  4. Irwin, G.R., Dally, J.W., Kobayashi, T., Fourney, W.L., Etheridge, M.J. andRossmanith, H.P., “On the Determination of the å-K Relationship for Birefringent Polymers,”Experimental Mechanics,19 (4),121–128 (April 1979).

    Article  Google Scholar 

  5. Kanazawa, T., Machida, S., Teramoto, T. andYoshinari, H., “Study on Fast Fracture and Crack Arrest,”Experimental Mechanics,21 (2),78–88 (Feb. 1981).

    Article  Google Scholar 

  6. Shockey, D.A., Kalthoff, J.F., Klemm, W. andWinkler, S., “Simultaneous Measurements of Stress Intensity for Fast-running Cracks in Steel,”Experimental Mechanics,23 (2),140–145 (June 1983).

    Article  Google Scholar 

  7. Kalthoff, J.K., Beinert, J. and Winkler, S., “Analysis of Fast Running and Arresting Cracks by the Shadow Optical Method of Caustics,” Proc. IUTAM Symp. on Opt. Meth. in Mech. of Solids, ed. A. Lagarde, Sijthoff & Noordhoff, 497–508 (1981).

  8. Sih, G.C., “Inelastic Behavior of Solids,” ed. M.F. Kanninen, F.A. William, A.R. Rosenfield and I.J. Robert, McGraw-Hill, 607–639 (1970).

  9. Freund, L.B., “Crack Propagation in an Elastic Solid Subjected to General Loading—II Non-Uniform Rate of Extension,”J. Mech. Phys. Solids,20,141–152 (1972).

    MATH  Google Scholar 

  10. Tsai, B.V., “Propagation of a Brittle Crack at Constant and Accelerating Speeds,”Int. J. Solids Struct.,9,625–642 (1973).

    MATH  Google Scholar 

  11. Manogg, P., “Andwendung der Schattenoptik zur Untersuchung des Zerreissvorgangs von Platten,”Diss., Univ. Freiburg, Germany (1964).

    Google Scholar 

  12. Theocaris, P.S., “Local Yielding around a Crack-Tip in Plexiglas,”J. Appl. Mech.,37,409–415 (1970).

    Google Scholar 

  13. Takahashi, K., “In-Laboratory Construction of a Pulse-Control Type Multi-Spark Camera,”J. Jap. Soc. Aero. and Space Sci.,32 (363),447–452 (1981).

    Google Scholar 

  14. Brown, W.F., Jr. and Srawley, J.E., “Plane Strain Crack Toughness Testing of High Strength Metallic Materials,” ASTM STP 410 (1966).

  15. Marshall, G.P., Coutts, L.H. andWilliams, J.G., “Temperature Effects in the Fracture of PMMA,”J. Mat. Sci.,9,1409–1419 (1974).

    Article  Google Scholar 

  16. Takahashi, K. and Sakurada, Y., unpublished data.

  17. Beinert, J. and Kalthoff, J.F., “Experimental Determination of Dynamic Stress Intensity Factors by Shadow Patterns,” Mechanics of Fracture, VII, ed. G.C. Sih, Nijhoff Publishers, Hague (1981).

  18. Takahashi, K., Matsushige, K. andSakurada, Y., “Precise Evaluation of Fracture Velocities at the Slow-to-Fast Transition,”J. Mat. Sci.,18,4026–4034 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takahashi, K., Arakawa, K. Dependence of crack acceleration on the dynamic stress-intensity factor in polymers. Experimental Mechanics 27, 195–199 (1987). https://doi.org/10.1007/BF02319474

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02319474

Keywords

Navigation