THEORY OF ANISOTROPIC THICK PLATES
Abstract
The material of the plate is assumed to be transversely isotropic, with the planes of isotropy parallel to the middle surface, and the material therefore possesses five independent elastic constants. Equations are given without detailed derivation for the displacements and stresses corresponding to a state of plane stress, and for the displacements, stresses and moments in a bent plate, both for the general case, and for the particular case of a plate bent by a uniformly distributed pressure in addition it its own weight. For a simply supported circular plate subjected to a uniformly distributed pressure the equations for displacements, stresses and moments are given, neglecting the weight of the plate. For the particular cases considered, the errors of the thin plate approximation are negligible if the material is isotropic, but are appreciable if the material is isotropic, but are appreciable if the material is anisotropic, the errors becoming larger the smaller the ratio.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 21, 1970
- Accession Number
- AD0704036
Entities
People
- S. G. Lekhnitskiy
Organizations
- National Air and Space Intelligence Center