×
Home Current Archive Editorial board
News Contact
Preliminary report

DEFINITION OF CRACKS FOR THE ULTIMATE DEGENERATION PROCESS OF REVOLVING ELLIPSOIDS

By
Dragan Lukić ,
Dragan Lukić
Contact Dragan Lukić

Faculty of Civil Engineering of Subotica, University of Novi Sad, Novi Sad, Serbia

Elefterija Zlatanović
Elefterija Zlatanović

Faculty of Civil Engineering and Architecture of Niš, University of Nis, Niš, Serbia

Abstract

The state of stress around cavities of the revolving ellipsoidal shape (prolate or oblate) in the extreme cases of their degeneration is a very complex problem. Namely, the shape of cavities is defined by an appropriate curvilinear coordinate system, which contains hyperbolic and trigonometric functions. In this paper, the treatment of revolving ellipsoid coordinates has been presented, along with transformations of ellipsoids for corresponding limiting values of their coordinates. Various forms of cracking can be defined through the ellipsoid degeneration process. In addition, the paper is dealing with a definition of the stress state for the limiting cases of degeneration.

References

1.
Lukic D. Contribution to methods of stress state determination around cavity of rotational ellipsoid shape, by use of elliptic coordinates. 1998.
2.
Hobson EW. Spherical and ellipsoidal harmonics. 1931.
3.
Sneddon N, Lowengrub M. Crack Problems in the Classical theory of Elasticity. 1969.
4.
Neuber H. 1958.
5.
Edwards RH. Stress Concentrations Around Spheroidal Inclusions and Cavities. J Appl Mechanics. 1951;18:19–30.
6.
Lukić D, Prokić A, Anagnosti P. Stress-strain field around elliptic cavities in elastic continuum. European Journal of Mechanics - A/Solids. 2009;28(1):86–93.
7.
Lukić D, Prokić A, Brčić S. Stress state around cylinrical cavities in isotropic medium, Archives for Technical Sciences. Technical Institute of Bijeljina. 2011;(5):40–7.

Citation

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 

Article metrics

Google scholar: See link

The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.