Development of two-dimensional theory of thick plates bending on the basis of general solution of Lamé equations
Journal Title: Вісник Тернопільського національного технічного університету - Year 2018, Vol 89, Issue 1
Abstract
A theory of bending of the thick plate normally loaded on lateral surfaces, when its stress state is not described by the hypothesis of Kirchhoff–Love or Tymoshenko, is suggested. Its three-dimensional stress-strain state is divided into symmetrical bend and compression. To describe the symmetrical bend, three harmonic functions are used expressing the general solution of the Love equations and three-dimensional stress state of the plate. After integrating the stresses along the plate thickness, bending and torque moments and transverse stresses are expressed through three two-dimensional functions. Closed system of partial differential equations of the eighth order was developed on the introduced two-dimensional functions without the use of hypotheses about the geometric nature of the plate deformation. Three-dimensional boundary conditions are reduced to two-dimensional form.
Authors and Affiliations
Victor Revenko
Keywords
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- EP ID EP289528
- DOI 10.33108/visnyk_tntu2018.01.033
- Views 38
- Downloads 0
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