TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

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UDC 624.044

Technical mechanics, 2015, 3, 75 - 84

REGULARITIES OF DEFORMATION OF ELASTIC MASSIFS

I. K. Badalakha

      The analysis of the existing solutions for the elasticity theory is demonstration of their serious disadvantages resulted from the application of imperfect physical dependences. In order to eliminate this problem and to simplify the solution process, it is proposed to divide complete deformations into two independent types: volume deformations and deformations of pure shears. A full range of deformations of each type is determined separately, according to their regularities of deformations. These regularities are associated with various forms of the influence of the potential pressure function, which represents a stressed state of an elastic massif and is determined by given limited conditions. As a result, the disadvantages of solutions are eliminated, the range of problems having exact analytical solutions extends, and at the same time, derivation of these solutions is simplified.

regularities of deformations, volume deformations, deformations of pure shears, function of pressures, elastic massif.

1. Badalakha I. K. Physical Dependencies of Elastic Massifs (in Russian) / I. K. Badalakha. - Dniepropetrovsk : Publishing House of Dniepropetrovsk National University of Railway Transport after Acad. V. Lazaryan, 2012. - 197 p.

2. Bezukhov N. I. Fundamentals for Theory of Elasticity, Plasticity and Creep (in Russian) / N. I. Bezukhov. - Moscow : Vysshaya Shkola, 1961. - 537 p.

3. Florin V. A. Fundamentals for Mechanics of Ground: in 2 volumes. Vol. 1 (in Russian) / V. A. Florin. - Leningrad - Moscow : State Publishing House for Civil Engineering, Architecture and Building Materials, 1959. - 359 p.

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