CREEP OF VARIABLE THICKNESS CIRCULAR PLATES.
Abstract
The report is concerned with the creep behavior of rotationally symmetric circular plates of varying thickness. The investigations are essentially based upon two types of analogies. In the first case, the analogy between the equations that govern the creep of a structure and those that govern the nonlinear elastic behavior of the same structure is used. In the other case, the similarity between creep flow and the flow rules of plasticity theory is utilized. Within the framework of these analogies, two exact methods of solution are initially presented. While the first is based upon a creep flow law associated with the Mises criterion of plasticity theory, the second uses the Tresca criterion of the same theory to formulate moment-curvature relations. These laws are then used as bases to obtain moment and deflection solutions for the case of a simply-supported plate under uniform pressure. Next, with a view towards developing approximate methods of solution for the analysis of more complex problems, Reissner's variational theorem is used to obtain solutions to the preceding problem. These are found to be in good agreement with the exact results. The approximate technique is then used to obtain solutions in the case of a plate with clamped edges. The results in all cases are presented in tabular, as well as graphical forms. These are found to be in good agreement with the exact results. The approximate technique is then used to obtain solutions in the case of a plate with clamped edges. The results in all cases are presented in tabular, as well as graphical forms. These are discussed in a final chapter of the report. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1966
- Accession Number
- AD0634987
Entities
People
- B. Venkatraman
- Coleman Raphael
- Sharad A. Patel
Organizations
- New York University Tandon School of Engineering