Engineering Transactions, 64, 4, pp. 433–440, 2016

A Multi-Layered Ring Under Parabolic Pressure

Christos F. MARKIDES
National Technical University of Athens

Ermioni D. PASIOU
National Technical University of Athens

National Technical University of Athens

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

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.

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

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

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.

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Polish Academy of Sciences, Warsaw, Poland