Sponsor
Portland State University. Department of Civil Engineering
First Advisor
Manouchehr Gorji
Term of Graduation
Fall 1986
Date of Publication
12-19-1986
Document Type
Thesis
Degree Name
Master of Science in Civil Engineering (MSCE)
Department
Civil Engineering
Language
English
Subjects
Plates (Engineering) -- Mathematical models, Strains and stresses -- Mathematical models, Elasticity -- Mathematical models, Plasticity -- Mathematical models
DOI
10.15760/etd.5441
Physical Description
1 online resource (2, xi, 129 pages)
Abstract
The concept of load analogy is used in the elastic and elastic-plastic analysis of isotropic circular and annular plates undergoing moderately large deflection. The effects of the nonlinear terms of lateral displacement and the plastic strains are considered as additional fictitious lateral loads, edge moments, and in-plane forces acting on the plate. The solution of an elastic or elastic-plastic Von Karman type plate is hence reduced to a set of two equivalent elastic plate problems with small displacements, namely, a plane problem in elasticity and a linear elastic plate bending problem. The method of finite element is employed to solve the plane stress problem. The large deflection solutions are then obtained by utilizing the solutions of the linear bending problems through an iterative numerical scheme. The flow theory of plasticity incorporating a Von Mises layer yield criterion and the Prandtl-Reuss associated flow rule for strain hardening materials is employed in this approach.
Rights
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Persistent Identifier
https//archives.pdx.edu/ds/psu/20183
Recommended Citation
Akileh, Aiman Raji, "Elastic-Plastic Analysis of Axisymmetrically Loaded Isotropic Circular and Annular Plates Undergoing Large Deflections" (1986). Dissertations and Theses. Paper 3559.
https://doi.org/10.15760/etd.5441
Comments
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