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A new solution of the harmonic functions in theory of elasticity (CROSBI ID 168026)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Chygyryns’kyy, Valeryy Victorovich ; Shevchenko, Vladimir Grigorovich ; Mamuzić, Ilija ; Belikov, Sergey Borisevich A new solution of the harmonic functions in theory of elasticity // Materiali in tehnologije, 44 (2010), 4; 219-222

Podaci o odgovornosti

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

engleski

A new solution of the harmonic functions in theory of elasticity

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.

theory of elasticity ; harmonic functions ; Cauchy-Riemann expressions

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Podaci o izdanju

44 (4)

2010.

219-222

objavljeno

1580-2949

1580-3414

Povezanost rada

Metalurgija

Indeksiranost