Abstract
The originally developed reflection method of caustics is presented for application to cracks in mechanically anisotropic materials such as fiber-reinforced composites. The derived solutions for the combination of crack-opening modes I and II show that the size of the dark spot depends on the load intensity, whereas its shape depends strongly on the mechanical properties of the material, the orientation of the crack tip and the mixed-mode mixture. The evaluation of optical effects is possible using the diameter-measuring method or the advanced multipoint overdeterministic data reduction method. To find the exact position of caustics, the experimental images are analyzed by the simple boundary value method and a more sophisticated differential method, which is accomplished by shifting the real image onto the gradient image. The standard experimental testing procedure is performed for cracks oriented 0 deg, 45 deg and 90 deg to the material axes in carbon-fiber-reinforced polymer composites.
Similar content being viewed by others
References
Manogg, P., “Anwendung der Schattenoptik zur Untersuchung des Zurreißvorgangs von Platten,” Ph.D. thesis, University of Freiburg (1964).
Jecić, S. and Semenski, D., “Some Remarks on Determination of Stress-intensity Factors,” Proceedings of the International Conference on Measurement of Static and Dynamic Parameters of Structures and Materials, Plzen, 267–271 (1987).
Jecić, S., “The Numerical Solution of the Shape of Caustics in Mechanically Orthotropic Materials,” Proceedings of the 9th International Conference on Experimental Mechanics, Copenhagen, 415–421 (1990).
Theocaris, P.S. andGeorgiadis, H.G., “Mode III Stress-intensity Factors in Cracked Orthotropic Plates—An Analogy with Propagating Cracks in Isotropic Media,” EXPERIMENTAL MECHANICS 24 (9),177–183 (1984).
Jecić, S., “Zur Kaustikform um die Rißspitze in orthotropen Werkstoffen,”Österreichische Ingenieur-und Architekten-Zeitschrift,136 (6),207–210 (1991).
Rossmanith, H.P., Knasmillner, R.E., andZhang, J., “Ein interaktives Verfahren zur Auswertung von Kaustiken an Rißspitzen in anisotropen Werkstoffen,”Österreichische Ingenieur-und Architekten-Zeitschrift,136, (6),210–213 (1991).
Semenski, D. andJecić, S., “The Shapes of Caustics for Different Characteristics of Mechanically Orthotropic Materials,”Österreichische Ingenieur-und Architekten Zeitschrift,139 (7/A),53–60 (1994).
Rossmanith, H.P., Knasmillner, R.E., andSemenski, D., “Crack-tip Caustics in Mechanically Anisotropic Materials,” EXPERIMENTAL MECHANICS,35 (1),31–35 (1995).
Theocaris, P.S., “Local Yielding Around a Crack Tip in Plexiglas,”J. Appl. Mech.,37,409–414 (1970).
Kalthoff, J.F., “Shadow Optical Method of Caustics,”Handbook on Experimental Mechanics, ed, A.S. Kobayashi, Prentice Hall, Englewood Cliffs, NJ, 430–500 (1987).
Papadopoulos, G.A., Fracture Mechanics, the Experimental Method of Caustics and the Det. criterion of Fracture, Springer-Verlag, Berlin (1993).
Cherepanov, G.P., Mechanics of Brittle Fracture (A.L. Peabody, R. DeWitt and W.C. Cooley, trans.),McGraw-Hill, New York (1979).
Semenski, D., “The Application of Caustics to Fracture Mechanics of Anisotropic Materials,” Ph.D. thesis, University of Zagreb (1995).
Semenski, D., “Method of Caustics in Fracture Mechanics of Mechanically Anisotropic Materials,”Eng. Fract. Mech.,58, (1–2),1–10 (1997).
Lekhnitskii, S.G., Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981), (in Russian).
Wahl, F.M., Digitale Bildsignalverarbeitung, Springer-Verlag, Berlin (1989).
Sweeney, J., “The Stress Intensity for an Edge Crack in a Semi-infinite Orthotropic Body,”Int. J. Fract.,37,233–241 (1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Semenski, D., Jecić, S. Experimental caustics analysis in fracture mechanics of anisotropic materials. Experimental Mechanics 39, 177–183 (1999). https://doi.org/10.1007/BF02323550
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02323550