Thermal stresses in an elastic sphere containing conical cuts

V. V. Mel'nikov

Institute of Technical Physics, Snezhinsk, 456770, Russia

Abstract: An axisymmetric thermoelastic problem for a sphere with conical cuts in the poles under the action of a quasi-stationary temperature field depending on the meridional angle and on the sphere radius is solved by a method based on the Castigliano variational principle. Orthonormalized systems of polynomials are used as the coordinate functions. Results of numerical calculations of the stress state of a spherical solid are presented.

Keywords: equilibrium equations, boundary conditions, stress functions, potential strain energy.

UDC: 532.72; 669.015.23

Received: 03.12.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:6, 1049–1052

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