Journal of Mathematical Sciences

, Volume 240, Issue 1, pp 86–97 | Cite as

Solutions of Axisymmetric Problems of Elasticity and Thermoelasticity for an Inhomogeneous Space and a Half Space

  • Yu. V. Tokovyy

We developed a technique for the construction of solutions of axisymmetric problems of elasticity and thermoelasticity in stresses for a space and a half space whose elastic properties are arbitrary functions of the coordinate z. By using the direct integration method and the Hankel integral transformation, the problems are reduced to governing integral equations accompanied by a local boundary condition and an integral condition in the case of the half space. The solutions of the deduced equations are constructed in the explicit form by using the resolvent-kernel method.


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Authors and Affiliations

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

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