Relations between Parameters of Fracture Processes on Different Scale Levels


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Abstract

The processes of ultrasonically-assisted drilling (UAD) and the dynamic tests on split Hopkinson pressure bar (SHPB), fracture in which is implemented at various structural-scale levels, are considered. The simulation of UAD based on the Hertz contact problem and the structural−time criterion is presented. The problem of using the value of the fracture incubation time and its linear size obtained from the tests on SHPB in the simulation is considered. A principle of equal power is used for converting the strength parameters into another structural−scale level. The theoretical curve obtained in the simulation is compared with the results of experiments on conventional drilling (CD) and UAD.

About the authors

N. V. Mikhailova

St. Petersburg State University

Author for correspondence.
Email: natasha-mikh@yandex.ru
Russian Federation, St. Petersburg, 199034

G. A. Volkov

St. Petersburg State University

Email: natasha-mikh@yandex.ru
Russian Federation, St. Petersburg, 199034

Yu. V. Petrov

St. Petersburg State University; Institute for Problems in Mechanical Engineering,
Russian Academy of Sciences

Email: natasha-mikh@yandex.ru
Russian Federation, St. Petersburg, 199034; St. Petersburg, 199178

I. V. Smirnov

St. Petersburg State University

Email: natasha-mikh@yandex.ru
Russian Federation, St. Petersburg, 199034

P. Onawumi

Loughborough University

Email: natasha-mikh@yandex.ru
United Kingdom, Loughborough, LE11 3TU

A. Roy

Loughborough University

Email: natasha-mikh@yandex.ru
United Kingdom, Loughborough, LE11 3TU

V. Silberschmidt

Loughborough University

Email: natasha-mikh@yandex.ru
United Kingdom, Loughborough, LE11 3TU

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