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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.

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