Труды сотрудников ИВМ СО РАН

/ B. G. Tarasov [et al.] // Int. J. Fract. - 2017. - Vol. 207, Is. 1. - P87-97, DOI 10.1007/s10704-017-0223-1. - Cited References:30. - The authors acknowledge the support provided by the Centre for Offshore Foundation Systems (COFS) at the University of Western Australia. . - ISSN 0376-9429. - ISSN 1573-2673РУБ Materials Science, Multidisciplinary + Mechanics

Аннотация: Experiments on frictional stick-slip instability in brittle materials and natural observations show that friction falls towards zero in the head of shear ruptures propagating with extreme velocities (up to supershear levels). Although essential for understanding earthquakes, fracture mechanics and tribology the question of what physical processes determine how weakening occurs is still unclear. Here, using a mathematical model, we demonstrate that the extremely low friction can be caused by a fan-like fault structure formed on the basis of a tensile-cracking process observed in all extreme ruptures. The mathematical model visualises and describes the fan-structure as a mechanical system during rupture propagation. It explains some features observed in laboratory experiments.

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Держатели документа:
Univ Western Australia, Ctr Offshore Fdn Syst, Stirling Highway 35, Perth, WA 6009, Australia.
Russian Acad Sci, Inst Appl Math, Far Eastern Branch, Radio St 7, Vladivostok 690041, Russia.
Russian Acad Sci, Inst Computat Modelling, Siberian Branch, Akademgorodok 50-44, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Tarasov, Boris G.; Guzev, Mikhail A.; Sadovskii, Vladimir M.; Cassidy, Mark J.; Centre for Offshore Foundation Systems (COFS) at the University of Western Australia

/ B. G. Tarasov, V. M. Sadovskii, O. V. Sadovskaya // J. Appl. Mech. Tech. Phys. - 2017. - Vol. 58, Is. 7. - P1139-1152, DOI 10.1134/S0021894417070100. - Cited References:23. - This research was partially supported by the Centre for Offshore Foundation Systems (the University of Western Australia) and the Complex Fundamental Research Program no. II.2P "Integration and Development" of Siberian Branch of the Russian Academy of Sciences (grant no. 0356-2016-0728). . - ISSN 0021-8944. - ISSN 1573-8620РУБ Mechanics + Physics, Applied

Аннотация: The fan-shaped mechanism of rotational motion transmission in a system of elastically bonded slabs on flat surface, simulating the propagation of shear ruptures in super brittle rocks, is analyzed. Such ruptures appear in the Earth's crust at seismogenic depths. They propagate due to the nucleation of oblique tensile microcracks, leading to the formation of a fan domino-structure in the rupture head. A laboratory physical model was created which demonstrates the process of fan-structure wave propagation. Equations of the dynamics of rotational motion of slabs as a mechanical system with a finite number of degrees of freedom are obtained. Based on the Merson method of solving the Cauchy problem for systems of ordinary differential equations, the computational algorithm taking into account contact interaction of slabs is developed. Within the framework of a simplified mathematical model of dynamic behavior of a fan-shaped system in the approximation of a continuous medium, the approximate estimates of the length of a fan depending on the velocity of its motion are obtained. It is shown that in the absence of friction a fan can move with any velocity that does not exceed the critical value, which depends on the size, the moment of inertia of slabs, the initial angle and the elasticity coefficient of bonds. In the presence of friction a fan stops. On the basis of discrete and continuous models, the main qualitative features of the behavior of a fan-structure moving under the action of applied tangential forces, whose values in a laboratory physical model are regulated by a change in the inclination angle of the rupture plane, are analyzed. Comparison of computations and laboratory measurements and observations shows good correspondence between the results.

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Держатели документа:
Univ Western Australia, Ctr Offshore Fdn Syst, Perth, WA 6009, Australia.
Inst Computat Modeling SB RAS, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Tarasov, B. G.; Sadovskii, V. M.; Sadovskaya, O. V.; Centre for Offshore Foundation Systems (the University of Western Australia); Complex Fundamental Research Program [II.2P, 0356-2016-0728]