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"Humanities and Science University Journal" №17 (Physical and mathematical, biological and technical science), 2016

Models for Plastic Deformation Research

I. G. Panin, V. V. Blagoveshchenskii, Y. L. Lustgarten
Price: 50 руб.
 This paper gives a brief description of several models of the motion of dislocation lines in the simulation region: the principal model of dislocation multiplication of the Frank — Read type and models developed on its basis. The latter include models of a single dislocation motion, multiplication and motion of an ensemble of dislocations, formation of a dislocation pile-up. The paper presents the main results obtained on the basis of these models: the curve of deformation under constant uniaxial loading; the curve of deformation at a constant rate of deformation; the curve of dependence of the number of dislocations in a pile-up on the value of the external applied stress.
Keywords: crystal, defect, dislocation, deformation, ultrasound, differential equation,
model.
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Price: 50 рублей
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