The milestones in geotechnical mechanics research conducted at the N. S. Polyakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine are listed. Solutions to the deep-mining challenges faced by the institute as a leading research institution in the industry are outlined. The basic results on the subject achieved by the institute over the years of its existence are summarized Keywords: geotechnical mechanics, rock pressure, stability, gas and rock outburst, ground support, folding To the 40th Anniversary of the N. S. Polyakov Institute of Geotechnical MechanicsThe 60s of the past century witnessed a constantly increasing depth of mining, both underground and opencast, in the major mining regions of Ukraine: Donbass and Krivbass. The drastically deteriorated mining conditions posed several tasks: control of rock pressure, heat, and gas and development of new means of haulage and transport at deep opencast, etc., which meant a lot of research work.Besides developments in mining engineering and rock mechanics, of great significance is geotechnical mechanics, which studies natural and man-induced processes in the Earth's crust. , areas, and status of research in the field, and for putting scientific developments into practice at deep underground and opencast mines.To perform these tasks, the IGTM launched an extensive research program on rock mechanics with the intent of studying the mechanical characteristics, engineering properties, and composition of rocks and their behavior under various conditions and at different depths. This had the effect of establishing patterns of the rheological behavior of rock and evaluating some associated parameters. New methods were developed to determine the stress-strain state of a rock mass and to predict rock pressure at great depths. Theoretical and experimental investigations helped to develop recommendations on mine layout, ground support, and maintenance of development and permanent workings and shaft stations at deep mines of Donbass and Western Donbass [16-18, 67, 75, 76].Several ultrasonic devices, such as ShUP-1, ShIÉMS, ShIS-1, and PPU [86], have been developed for in-mine analysis of the stress state, fracture, and mechanical properties of rock.Of special importance were studies intended to prevent outbursts of coal, rock, and gas in deep mines of Donbass. The first of the studies were concerned with rock and gas outbursts in driving drifts along sandstones.To lay a theoretical basis for outburst prediction and prevention, experts from some institutes of the Ukrainian Academy of Sciences were engaged in development of an outburst theory. Among them were scientists from the Institute of Mechanics such as Academician A. N. Guz, Corresponding Member L. P. Khoroshun, Doctors of Physics and Mathematics I. Yu. Babich, Yu. N. Podil'chuk, V. N. Chekhov, and others.Over a relatively short period, the research yielded the following important results: Outburst-hazard indices of sandstones were identified and outburst conditions were modeled, which mad...
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