Determination of stresses and displacement in orthotropic radially graded disks

Gönczi, Dávid (2025) Determination of stresses and displacement in orthotropic radially graded disks. GÉP, 76 (3-4). pp. 51-54. ISSN 0016-8572

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Abstract

This paper deals with the determination of stress distribution and displacement field of radially graded disks. The material behaviour is linearly elastic and orthotropic, the thin disk is subjected to combined mechanical and thermal loading. The material distribution is arbitrary function of the radial coordinate and the temperature field, while the temperature distribution and the thickness profile of the thin disk depend on the radial coordinate. A system of differential equations is derived, then reformulated to transform the steady-state thermoelastic problem to a system of initial value problems. A stress function is used to solve the axisymmetric problem, then different boundary conditions are investigated. The solution is derived, when the displacement values at the cylindrical boundary surfaces are given (e.g. fixed or prescribed).

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