Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity

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Published May 31, 2019
DOI https://doi.org/10.3221/IGF-ESIS.49.23

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Tatyana Korepanova
Perm Military Institute of the National Guard Troops of the Russian Federation, Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science (ICMM UB RAS)
Valerii Matveenko
Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science
Igor Shardakov
Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science

Abstract

A complete set of eigensolutions is constructed for different variants of circular conical bodies: homogeneous cone with one lateral surface (solid cone), homogeneous cone with two lateral surfaces (hollow cone) and composite cone for different variants of boundary conditions on the lateral surface. It has been shown that the constructed eigensolutions can be readily applied for estimation of the character of stress singularity at the vertices of conical bodies. The character of stress singularity at the vertex of the solid and hollow cones for different variants of boundary conditions on the lateral surfaces has been defined by direct numerical simulations. Numerical results obtained for solid, hollow and compose cones under different boundary conditions on the lateral surfaces are discussed.

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    Issue
    Vol. 13 No. 49 (2019): July 2019
    Section
    SI: Russian mechanics contributions for Structural Integrity

    How to Cite

    Korepanova, T., Matveenko, V., & Shardakov, I. (2019). Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity. Frattura Ed Integrità Strutturale, 13(49), 225–242. https://doi.org/10.3221/IGF-ESIS.49.23

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