MATEC Web Conf.
Volume 300, 2019ICMFF12 - 12th International Conference on Multiaxial Fatigue and Fracture
|Number of page(s)||9|
|Section||Special Session in Memoria of Prof. Ewald Macha|
|Published online||02 December 2019|
The generalized criterion of multiaxial random fatigue based on conception proposed by prof. Macha
Department of Mechanics and Machine Design, Opole University of Technology, 5 Mikołajczyka Street, 45-271 Opole, Poland
2 Department of Mechanics, Materials Science and Engineering, Wrocław University of Science and Technology, Smoluchowskiego Street 25, Wrocław, Poland
This criterion has been repeatedly verified, analyzed and special cases of this criterion reducing complex stress to equivalent uniaxial were taken into account. Since both normal and shear stress are vectors, we encounter the mathematical problem of adding these vectors, and the question arises how to understand the obtained equivalent stress, because two perpendicular vectors are added with weighting factors. Therefore, in this work it was proposed to adopt a system of complex numbers. Normal stress was defined as the real part and shear stress as imaginary part. As a result, on the basis of the defined complex number and basing on pure bending and pure torsion after transformations, the expression for equivalent stress was identical to the previously proposed criteria defined on the basis of the concept of prof. Macha.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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