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Thermal stresses in an elastic sphere containing conical cuts
Authors:V V Mel’nikov
Institution:(1) Department of Mechanical, Aerospace and Structural Engineering, Washington University, St. Louis, MO, USA;(2) Institute for Computational Engineering and Science, The University of Texas at Austin, Austin, TX, USA;(3) Institute of Mathematics, Helsinki University of Technology, Helsinki, Finland;(4) Engineering Software Research and Development, Inc., St. Louis, MO, USA
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:
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