Naslov
A new solution of the harmonic functions in theory of elasticity

Autori
Chygyryns’kyy, Valeryy Victorovich ; Shevchenko, Vladimir Grigorovich ; Mamuzić, Ilija ; Belikov, Sergey Borisevich

Izvornik
Materiali in tehnologije (1580-2949) 44 (2010), 4; 219-222

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
theory of elasticity ; harmonic functions ; Cauchy-Riemann expressions

Sažetak
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 y(x, y) = y = Cs • exp q, with q = q(x, y) as a function of the strain centre. The transformations are explained 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.

Izvorni jezik
Engleski

Znanstvena područja
Metalurgija

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