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Journal of Mathematical Sciences

, Volume 190, Issue 5, pp 683–696 | Cite as

Reduction of a three-dimensional elasticity problem for a finite-length solid cylinder to the solution of systems of linear algebraic equations

  • Yu. V. Tokovyy
Article

We have proposed an approach to the construction of an analytical solution of the three-dimensional elasticity problem for a homogeneous solid isotropic cylinder subjected to normal compressive external forces applied to its end faces. The lateral surface is assumed to be free of force loading. For the determination of the stress-tensor components, a representation via the Dougall harmonic functions is used. Based on the superposition method, we have reduced the problem of determination of the coefficients in the obtained expressions to infinite systems of linear algebraic equations.

Keywords

Linear Algebraic Equation Force Loading Infinite System Superposition Method Angular Coordinate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Yu. V. Tokovyy
    • 1
  1. 1.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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