A Multi-Layered Ring Under Parabolic Pressure

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Authors

  • Christos F. MARKIDES National Technical University of Athens, Greece
  • Ermioni D. PASIOU National Technical University of Athens, Greece
  • Stavros K. KOURKOULIS National Technical University of Athens, Greece

Abstract

The stress- and displacement-fields developed in a circular ring consisting of a finite number of linearly elastic homo¬geneous and isotropic concentric layers are determined. The composite ring is subjected to a distribution of radial stresses (acting along two finite arcs of its periphery) varying according to a parabolic law. The problem is solved analytically adopting Savin’s approach for an infinite plate with a hole strengthened by rings. Taking advantage of the analytic solution, a numerical model is properly calibrated and validated by considering the case of a three-layered ring. It is concluded that the constructed model simulates reality in an excellent manner and therefore it can be safely used for a thorough parametric analysis of the numerous factors influencing the stress- and displacement-fields.

Keywords:

composite ring, multi-layered rings, Brazilian-disc test, ring test, complex potentials

References

[1] ISRM, Suggested methods for determining tensile strength of rock materials., Int. J. Rock Mech. Mining Sci. & Geomechanics Abs., 15(3): 99-103, 1978.

[2] Markides Ch.F., Kourkoulis S.K., The stress field in a standardized Brazilian disc: The influence of the loading type acting on the actual contact length, Rock Mech. Rock Eng., 45: 145-158, 2012.

[3] Savin G.N., Stress concentration around holes, Pergamon Press, Oxford, 1961.

[4] Muskhelishvili N.I., Some basic problems of the mathematical theory of elasticity, 4th edition, P. Noordhoff Groningen, The Netherlands, 1963.

[5] Markides Ch.F., Pasiou E.D., Kourkoulis S.K., Parametric study of a multi-layered ring under pa-ra¬bolic pressure, to be submitted, 2016.