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Engineering Commons

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Portland State University

Theses/Dissertations

1986

Strains and stresses -- Mathematical models

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Full-Text Articles in Engineering

Elastic-Plastic Analysis Of Axisymmetrically Loaded Isotropic Circular And Annular Plates Undergoing Large Deflections, Aiman Raji Akileh Dec 1986

Elastic-Plastic Analysis Of Axisymmetrically Loaded Isotropic Circular And Annular Plates Undergoing Large Deflections, Aiman Raji Akileh

Dissertations and Theses

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 …