APPROXIMATE ELASTICITY SOLUTION FOR ORTHOTROPIC CYLINDER UNDER HYDROSTATIC PRESSURE AND BAND LOADS
Abstract
An approximate solution to the Navier equations of the three- dimensional theory of elasticity for an axisymmetric orthotropic circular cylinder subjected to internal and external pressure, axial loads, and closely spaced periodic radial loads is introduced. Numerical comparison with the exact solution for a transversely isotropic cylinder subjected to periodic band loads shows that very good accuracy is obtainable. When the results of this approximate solution are compared with previously obtained results of a Flugge- type shell solution of a ring-reinforced orthotropic cylinder, it is found that the shell theory gives a fairly accurate representation of the deformation except in the neighborhood of discontinuous loads. The addition of transverse shear deformations does not improve the accuracy of the shell solution. When Hill's orthotropic yield criterion is applied, it is found that yielding could begin rather early at the inner surface of the shell adjacent to the frame. It is noted that the transverse shearing stress has no great effect on the initial yield pressure. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1968
- Accession Number
- AD0670518
Entities
People
- Andrew P. Misovec
- Joseph Kempner
Organizations
- New York University Tandon School of Engineering