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The basic equations of the dynamics of the continuous distribution of dislocations I. General theory

ОСНОВНЫЕ УРАВНЕНИЯ Д ИНАМИКИ НЕПРЕРЫВНОГ О РАСПРЕДЕЛЕНИЯ ДИСЛО КАЦИЙ I. ОБЩАЯ ТЕОРИЯ

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Cechoslovackij fiziceskij zurnal B Aims and scope

Abstract

The basic equations of the dynamics of the continuous distribution of dislocations analogical to Maxwell's equations are derived in a series of papers I, II, III. The analogy of the elastic and electromagnetic fields is analyzed. In part I the basic equations of the continuous distribution of dislocations are derived for the dynamic case (especially for small deformations and for the Poisson ratio equal to zero in a continuum, infinite with respect to space and time, from the variational problem by means of the formal apparatus of the special theory of relativity.

Abstract

В серии трех работ выв одятся основные урав нения динамики сплош ного распределения дислокаций, аналогич ные уравнениям Максв елля. Исследуется ана логия упругого и электромагнитного полей. В настоящей пер вой части при помощи φ ормального аппарата специально й теории относительн ости выводятся на осн ове вариационной проблемы основные ур авнения сплошного ра спределения дислока ций для динамическог о случая, специально дл я малых деφормаций и д ля нулевой постоянно й Пуассона в среде неограниченн ой ни по времени, ни про странственно.

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  1. Welding Research Institute, Bratislava

    E. F. Holländer

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  1. E. F. Holländer
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Holländer, E.F. The basic equations of the dynamics of the continuous distribution of dislocations I. General theory. Czech J Phys 10, 409–418 (1960). https://doi.org/10.1007/BF01557274

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