Axi-Symmetric Solutions to States of Plane Stress and Generalized Plane Stress in Transversely Isotropic, Thick Annular Plates and Their Application to Bending

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  • 横等方性円環厚板の平面応力および一般化平面応力状態に対する軸対称解とそれらの曲げへの応用
  • Axi-Symmetric Solution to Sates of Plane Stress and Generalized Plane Stress in Transversely Isotropic, Thick Annular Plates and Their Application to Bending

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Axi-symmetric solutions to a state of plane stress and to a state of generalized plane stress in transversely isotropic, thick annular plates are obtained. The two solutions are deduced from the generalized Elliot solution which has five independent potential functions. Expressions for components of displacement and stress are explicitly presented. Axi-symmetric bending of the plate subjected to a uniformly distributed annular load is analyzed by one method of solution in that a homogeneous solution consisting of the two solutions and a particular solution deduced from a part of the generalized Elliott solution are used to satisfy boundary and loading conditions. The effect of anisotropy on the stresses is investigated through a comparison with the stresses in an isotropic material.

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