• Title/Summary/Keyword: Hencky transformation

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Power series solution of circular membrane under uniformly distributed loads: investigation into Hencky transformation

  • Sun, Jun-Yi;Rong, Yang;He, Xiao-Ting;Gao, Xiao-Wei;Zheng, Zhou-Lian
    • Structural Engineering and Mechanics
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    • v.45 no.5
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    • pp.631-641
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    • 2013
  • In this paper, the problem of axisymmetric deformation of the circular membrane fixed at its perimeter under the action of uniformly-distributed loads was resolved by exactly using power series method, and the solution of the problem was presented. An investigation into the so-called Hencky transformation was carried out, based on the solution presented here. The results obtained here indicate that the well-known Hencky solution is, without doubt, correct, but in the published papers the statement about its derivation is incorrect, and the so-called Hencky transformation is invalid and hence may not be extended to use as a general mathematical method.