First Advisor

Manouchehr Gorji

Date of Publication

1986

Document Type

Thesis

Degree Name

Master of Science (M.S.) in Civil & Environmental Engineering

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 (142 p.)

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.

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Comments

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Persistent Identifier

http://archives.pdx.edu/ds/psu/20183

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