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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018 Number 4(24), Pages 90–96 (Mi vkam311)

MATHEMATICAL MODELING

Criteria for the stress-strain state of the medium and the power law of relaxation

G. M. Vodinchar, A. S. Perezhogin

Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, 684034, Kamchatskiy kray, Paratunka, Mirnaya str. 7, Russia

Abstract: A model of high stress zone in the medium with point sources in the form of double forces is presented. Linear and nonlinear dilatancy criteria is calculated on data from the seismic Havard CMT catalog. Using the example of a visco-elastic model, power laws are constructed for the promotion of deformations under constant stress in a medium. A computational scheme is presented on the basis of finding the fractional degree of the operator of a system of algebraic linear equations.

Keywords: stress-strain, power law, computations.

UDC: 531.2

MSC: 86-08

Received: 16.07.2018

DOI: 10.18454/2079-6641-2018-24-4-90-96



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