# THEORETICAL AND EXPERIMENTAL INVESTIGATION OF CRACK PROPAGATION DIRECTION. PART I

## Abstract

In the present paper the crack propagation direction angles on the basis of three diﬀerent fracture criteria are found. The maximum tangential stress criterion, the minimum strain energy density criterion and the deformation criterion are used and analysed. The generalized forms of these criteria have been used. It implies that the crack propagation direction angles are obtained with the Williams series expansion in which the higher order terms are kept. The calculations are performed in Waterloo Maple computer algebra software. The analysis of the crack propagation direction angles show that the inﬂuence of the higher order terms can’t be ignored. The angles diﬀer considerably when the higher order terms are taken into account.

### V. S. Dolgikh

Samara National Research University

Author for correspondence.
Email: morenov@ssau.ru
ORCID iD: 0000-0002-1355-4286

postgraduate student of the Department of Mathematical Modelling in Mechanics

### A. V. Pulkin

Samara National Research University

Email: morenov@ssau.ru
ORCID iD: 0000-0002-6728-1017

Master’s Degree student of the Department of Mathematical Modelling in Mechanics

### E. A. Mironova

Samara National Research University

Email: morenov@ssau.ru
ORCID iD: 0000-0001-7473-2245

postgraduate student of the Department of Mathematical Modelling in Mechanics

### A. A. Peksheva

Samara National Research University

postgraduate student of the Department of Mathematical Modelling in Mechanics

### L. V. Stepanova

Samara National Research University

Email: morenov@ssau.ru
ORCID iD: 0000-0002-6693-3132

Doctor of Physical and Mathematical Sciences, professor of the Department of Mathematical Modelling in Mechanics

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Copyright (c) 2019 В. С. Долгих, А. В. Пулькин, Е. А. Миронова, А. А. Пекшева, Л. В. Степанова