Open AccessThe problem of bending the thick orthotropic plate of three-dimensional formulation
Author(s) -
M. Usarov
Publication year - 2011
Publication title -
inženerno-stroitelʹnyj žurnal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.4
H-Index - 22
eISSN - 2071-4726
pISSN - 2071-0305
DOI - 10.5862/mce.22.7
Subject(s) - orthotropic material , bending , bending of plates , structural engineering , materials science , composite material , geometry , engineering , mathematics , finite element method
Article provides a solution to the problem of bending the thick three-dimensional orthotropic plate under the action of an external sinusoidal distributed normal load.As the equations of equilibrium the three-dimensional equations of elasticity theory were selected. The solution of the equations of equilibrium can be expanded in a Maclaurin series, and the problem reduces to two dimensions. The numerical values of stresses and displacements were determined.Based on the analysis of numerical results it was ascertained that the required accuracy of calculations is achieved by taking into account the eight members of the Maclaurin series