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  • A new solution of the harmonic functions in the theory of elasticity = Nekatere značilnosti harmoničnih funkcij v teoriji o elastičnosti
    Chygyryns'kyy, Valeryy Victorovich ...
    A new approach to the solution of a plane problem of the theory of elasticity with the use of two harmonic functions with a Cauchy-Riemann analytical link is developed. The analysis of the harmonic ... functions shows that some allow a new approach to the solution of problems of the theory of elasticity. For the solution of linear differential equations a fundamental substitution is used, written in the general form [psi](x,y) = y = C[sub]{sigma} * exp [theta], with [theta] = [theta](x,y) AS A function of the strain centre. The transformations are explaned with the properties of harmonic functions, where the Cauchy-Riemann relations can be used. The considered variants extend the possibilities for solutions and, if necessary, to obtain suitable functions for predetermined tasks. The new method is universal and can be effectively used when the fields of stresses and strains are described with trigonometric expressions.
    Vir: Materiali in tehnologije = Materials and technology. - ISSN 1580-2949 (Letn. 44, št. 4, jul.-avg. 2010, str. 219-222)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 821162

vir: Materiali in tehnologije = Materials and technology. - ISSN 1580-2949 (Letn. 44, št. 4, jul.-avg. 2010, str. 219-222)

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