Classical Analyses of Laminated Bimodulus Composite-Material Plates.
Abstract
A differential-equation formulation is presented for the equations governing the small-deflection elastic behavior of thin plates laminated of anisotropic bimodulus materials (which have different elastic stiffnesses depending upon the sign of the fiber-direction strains). As a basis for comparative evaluation of a finite-element formulation presented in Technical Report No. 3 of the contract, exact closed-form solutions are presented for two cross-ply-laminated plate problems: (1) a freely supported rectangular plate subjected to a sinusoidally distributed normal pressure, and (2) a fully clamped elliptic plate subjected to uniform normal pressure. For the special case of isotropic bimodulus material, simplified approximate solutions are deduced from the exact ones. Good agreement is obtained among the two solutions presented here, as well as with numberical results existing in the literature for special cases and with the finite-element results. Also, for the first time is presented a closed-form solution for a rectangular plate arbitrarily laminated of anisotropic ordinary (not bimodulus) material.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1979
- Accession Number
- ADA074125
Entities
People
- Charles W. Bert
Organizations
- University of Oklahoma