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Abstrakty
The shape of the “initial curve”, i.e. the locus of material points, which if properly illuminated provide (under specific conditions) the “caustic curve”, is explored. Adopting the method of complex potentials improved formulae for the shape of the “initial curve” are obtained. Application of these formulae for two typical problems, i.e. the mode-I crack and the infinite plate with a finite circular hole under uniaxial tension, indicates that the “initial curve” is in fact not a circular locus. It is either an open curve or a closed contour, respectively, the actual shape of which depends also on the in-plane displacement field.
Czasopismo
Rocznik
Tom
Strony
265–--287
Opis fizyczny
Bibliogr. 46 poz., rys., wykr.
Twórcy
autor
- National Technical University of Athens, Department of Mechanics, Laboratory of Testing and Materials 5, Heroes of Polytechnion Avenue, 157 73 Zografou Campus, Athens, Greece
autor
- National Technical University of Athens, Department of Mechanics, Laboratory of Testing and Materials 5, Heroes of Polytechnion Avenue, 157 73 Zografou Campus, Athens, Greece
Bibliografia
- 1. Manogg P., Schattenoptische Messung der spezifischen Bruchenergie waehrend des Bruchvorgangs bei Plexiglas, Proceedings of the International Conference on Physics of Noncrystalline Solids, Prins J.A. [Ed.], Delft, The Netherlands, 481–490, 1964.
- 2. Theocaris P.S., Local Yielding Around a Crack-Tip in Plexiglas, Journal of Applied Mechanics, 37, 409–415, 1970,
- 3. Theocaris P.S., The Constrained Zones in Collinear Asymmetric Cracks by the Method of Caustics, Proceedings of the 7th All Union Conference on Photoelasticity, Tallinn, November 1971, 2, 221–236, 1971.
- 4. Kalthoff J.F., Shadow optical method of caustics, Handbook of Experimental Mechanics, Kobayashi A.S. [Ed.], Prentice-Hall, New York, pp. 430–498, 1987.
- 5. Theocaris P.S., Gdoutos E.E., An optical method for determining opening-mode and edge sliding-mode stress intensity factors, Journal of Applied Mechanics, 39, 91–97, 1972.
- 6. Rossmanith H.P., General mode-1 caustic evaluation for optically anisotropic materials, Archive of Applied Mechanics, 50, 73–83, 1981.
- 7. Theocaris P.S., Ioakimidis N.I., Application of the method of caustics to the determination of the ratio of Poisson’s ratio to the modulus of elasticity, Journal of Physics D: Applied Physics, 12, 1321–1324, 1979.
- 8. Younis N.T., Zachary L.W., A new technique for the determination of stress-optical constants using the shadow spot method, Experimental Mechanics, 29, 75–79, 1989.
- 9. Theocaris P.S., Experimental study of plane elastic contact problems by the pseudocaustics method, Journal of Mechanics and Physics of Solids, 27, 15–32, 1979.
- 10. Theocaris P.S., Razem C., Deformed boundaries determined by the method of caustics, The Journal of Strain Analysis for Engineering Design, 12, 223–232, 1977.
- 11. Kalthoff J.F., Winkler S., Beinert J., Dynamic SIFs for arresting cracks in DCB Specimens, International Journal of Fracture, 12, 317–319, 1976.
- 12. Theocaris P.S., Andrianopoulos N.P., Dynamic three-point bending of short beams studied by caustics, International Journal of Solids and Structures, 17, 707–715, 1981.
- 13. Papadopoulos G.A., Dynamic Caustics and its Applications, Optics and Lasers in Engineering, 13, 211–249, 1990.
- 14. Georgiadis H.G., Papadopoulos G.A., On the method of dynamic caustics in crack propagation experiments, International Journal of Fracture, 54, R19–R22, 1992.
- 15. Rosakis A.J., Freund L.B., Optical measurements of the plastic strain concentration at a tip in a ductile steel plate, Journal of Engineering Materials and Technology (Transactions of the ASME), 104, 115–125, 1982.
- 16. Kikuchi M., Hamanaka S., Evaluation of the J-Integral by the Caustics Method, Transactions of the Japan Society of Mechanical Engineers A, 56(532), 2581–2587, 1990.
- 17. Papadopoulos G.A., New formula of experimental stress intensity factor evaluation by caustics, International Journal of Fracture, 171, 79–84, 2011.
- 18. Yao Xuefeng, Xu Wei, Recent application of caustics on experimental dynamic fracture studies, Fatigue & Fracture of Engineering Materials & Structures, 34, 448–459, 2011.
- 19. Yao Xuefeng, Xu Wei, Jin Guan Chang, Yeh Hsien Yang, Low velocity impact study of laminate composites with mode I crack using dynamic optical caustics, Journal of Reinforced Plastics and Composites, 23, 1833–1844, 2004.
- 20. Xiong Chunyang, Yao Xuefeng, Fang Jing, A study of dynamic caustics around running interface crack tip, Acta Mechanica Sinica (English Series) 15, 182–192, 1999.
- 21. Shen S.-P., Nishioka T., Theoretical development of the method of caustics for intersonically propagating interfacial crack, Engineering Fracture Mechanics, 70, 643–655, 2003.
- 22. Tomlinson R.A., Patterson E.A., A study of residual caustics generated from fatigue cracks, Fatigue and Fracture of Engineering Materials & Structures, 20, 1467–1479, 1997.
- 23. Semenski D., Optical method of caustics – Fulfilled experimental application to the contact problem, Proceedings of the XVII IMEKO World Congress Metrology in the 3rd Millennium, June 22–27, 2003, Dubrovnik, Croatia, pp. 1952–1955, 2003.
- 24. Bakic A., Semenski D., Jecic S., Contact caustics measurements expanded to anisotropic materials, Archives of Civil and Mechanical Engineering, 11, 497–505, 2011.
- 25. Patterson E.A., Whelan M.P., Tracking nanoparticles in an optical microscope using caustics, Nanotechnology, 19, 105502 (7pp), 2008.
- 26. Semenski D., Method of caustics in fracture mechanics of mechanically anisotropic materials, Engineering Fracture Mechanics, 58, 1–10, 1997.
- 27. Semenski D., Jecic S., Experimental caustics analysis in fracture mechanics of anisotropic materials, Experimental Mechanics, 39, 177–183, 1999.
- 28. Yao Xuefeng, Zhao Hong Ping, Yeh Hsien-Yang, Dynamic caustic analysis of propagating Mode II cracks in transversely isotropic material, Journal of Reinforced Plastics and Composites, 24, 657–667, 2005.
- 29. Kezhuang Gong, Zheng Li, Caustics method in dynamic fracture problem of orthotropic materials, Optics and Lasers in Engineering, 46, 614–619, 2008.
- 30. Yao Xuefeng, Xu Wei, Bai Shulin, Yeh, Hsien-Yang, Caustics analysis of the crack initiation and propagation of graded materials, Composites Science and Technology, 68, 953–962, 2008.
- 31. Gong Kez Huang, Li Zheng, Qin Wei Hong, Influence of loading rate on dynamic fracture behavior of fiber-reinforced composites, Acta Mechanica Solida Sinica, 21, 457– 460, 2008.
- 32. Gdoutos E.E., Stress Triaxiality at Crack Tips Studied by Caustics, Recent Advances in Mechanics, Gdoutos E.E., Kounadis A.N. [Eds.], pp. 383–396, Springer, 2011.
- 33. Younis N.T., Designing an optical mechanics experiment, World Transactions on Engineering and Technology Education, 9, 137–144, 2011.
- 34. Carazo-Alvarez J., Patterson E.A., A general method for automated analysis of caustics, Optics and Lasers in Engineering, 32, 95–110, 1999.
- 35. Theocaris P.S., Razem C., Error analysis in evaluating SIFs by reflected caustics, International Journal of Mechanical Sciences, 23, 275–284, 1981.
- 36. Rossmanith H.P., The influence of geometrical imperfections in the method of caustics, Engineering Fracture Mechanics, 18, 903–908, 1983.
- 37. Wallhead I.R., Gungor S., Edwards L., Optimisation of the optical method of caustics for the determination of stress intensity factors, Optics and Lasers in Engineering, 20, 109–133, 1994.
- 38. Konsta-Gdoutos M., Gdoutos E.E., Guidelines for applying the method of caustics in crack problems, Experimental Techniques, 16, 25–28, 1992.
- 39. Rosakis A.J., Zehnder A.T., On the method of caustics: An exact analysis based on geometrical optics, Journal of Elasticity, 15, 347–367, 1985.
- 40. Spyropoulos C.P., Stress intensity factor determination error by the method of caustics, Theoretical and Applied Fracture Mechanics, 35, 179–186, 2001.
- 41. Muskhelishvili N.I., Some Basic Problems of the Mathematical Theory of Elasticity, Groningen, Noordhoff, 1963.
- 42. Theocaris P.S., Pazis D.N., Some further properties of caustics useful in mechanical applications, Applied Optics, 20, 4009–4018, 1981.
- 43. Manogg P., Investigation of the rupture of a plexiglas plate by means of an optical method involving high-speed filming of the shadows originating around holes drilled in the plate, International Journal of Fracture, 2, 604–613, 1966.
- 44. Raptis K., Papadopoulos G.A., Costopoulos T.N., Tsolakis A.D., Experimental study of load sharing in roller bearing contact by caustics and photoelasticity, American J. Engineering and Applied Sciences, 4, 294–300, 2011.
- 45. Yang R., Yue Z., Sun Z., Xiao T., Guo D., Dynamic fracture behavior of rock under impact load using the caustics method, Mining Science and Technology, 19, 79–83, 2009.
- 46. Kourkoulis S.K., Markides Ch.F., Bakalis G., Smooth elastic contact of cylinders by caustics: the contact length in the Brazilian-disc test, Archives of Mechanics, 65, 4, 313–338, 2013.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ac7c718c-d49f-46ab-ab00-f1abda5c41f1