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The elastic contact of two disks by the method of caustics

The contact length and the pressure distribution between two elastic disks may be directly evaluated by the method of caustics

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Abstract

An experimental technique based on the optical method of caustics for the solution of the two-dimensional problem of a narrow contact between two elastic disks was developed. In particular, an elliptical pressure distribution of the Hertz type was assumed, as well as a rectilinear contact form according to Muskhelishvili's solution. The method presents the advantage of yielding directly the contact length, from which the load applied on the disks can be readily evaluated.

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References

  1. Hertz, H., “Ueber Die Berührung fester Elastischer Körper,” J.F. Math (Crelle),92 (1882).

  2. Galin, L.A., Contact Problem in the Theory of Elasticity, North Carolina State College, Dept. of Math. and Engrg. Research, Ian N. Sneddon, ed. (1961).

  3. Muskhelishvili, N.I., Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groninger (1963).

    Google Scholar 

  4. Kalandiya, A.I., Mathematical Methods of Two-Dimensional Elasticity, Mir Publishers, Moscow (1975).

    Google Scholar 

  5. Theocaris, P.S., “Stress Singularities at Concentrated Loads,”Experimental Mechanics,13 (12),511–518 (Dec.1973).

    Google Scholar 

  6. Theocaris, P.S., “Stress Singularities due to Uniformly Distributed Loads Along Strainght Boundaries,”Int. J. Solids and Struct.,9,655–670 (1973).

    Article  Google Scholar 

  7. Theocaris, P.S. andRazem, C., “The Values of Distributed Loads in Half Planes by Caustics,”J. Appl. Mech.,45,250–260 (1978).

    Google Scholar 

  8. Theocaris, P.S. andRazem, C., “Deformed Boundaries Determined by the Method of Caustics,”J. Strain Anal.,12,223–232 (1977).

    Google Scholar 

  9. Theocaris, P.S., “The Contact Problem by the Method of Caustics,”Proc. 3rd Bulgarian Natl. Cong. Theor. and Appl. Mech. Varna,1,263–268 (Sept. 13–16,1977).

    Google Scholar 

  10. Theocaris, P.S., “The Experimental Solution of Plane Elasticity Contact Problems by the Method of Pseudocaustics,” J. Mech. Phys. Solids (to be published).

  11. Constrained Zones in Cracked Plates, “Appl. Opt.,10,2240–2247 (1971).

  12. Theocaris, P.S. andGdoutos, E.E., “An Interferometric Method for the Direct Evaluation of Principal Stresses in Plane-Stress Fields,”J. Physics,7,472–482 (1974).

    Google Scholar 

  13. Theocaris, P.S. andStassinakis, C.A., “Experimental Solution of The Problem of a Curvilinear Crack in Bonded Dissimilar Materials,”Int. J. Fracture,13,13–26 (1977).

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, The National Technical University, 625, Athens, Greece

    P. S. Theocaris (Professor) & C. A. Stassinakis (Assistant)

Authors
  1. P. S. Theocaris
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  2. C. A. Stassinakis
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Theocaris, P.S., Stassinakis, C.A. The elastic contact of two disks by the method of caustics. Experimental Mechanics 18, 409–415 (1978). https://doi.org/10.1007/BF02325056

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  • DOI: https://doi.org/10.1007/BF02325056

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