Plate analysis using classical or Reissner-Mindlin theories

摘要

Plates can be solved with classical or Reissner-Mindlin plate theory in the same computer code with an appropriate treatment of the direct boundary element formulation. The classical theory could be understood as the irrotational component of the field related to the rotations of the plate [1] and the shear deformation effect would correspond to the solenoidal component. This paper presents the fundamental solution and the direct boundary integral equations written in terms of boundary coordinates, normal (n) and tangential (s), for Reissner-Mindlin theory like it has been made for the classical analysis in order to permit the desired connection. Thus, the correction introduced by transverse shear deformation on the bending can be identified with reference to the classical approach and it is the key to establish the connection among the studied theories. An example will be solved to show the connections among plates theories and to present a boundary element formulation for Mindlin's theory with the irrotational field using the Danson's fundamental solution [5].