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    FINITE AXISYMMETRIC DEFORMATION OF A THIN SHELL OF REVOLUTION.

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    Author
    KEPPEL, WILLIAM JAMES.
    Issue Date
    1984
    Keywords
    Elastic plates and shells.
    Shells (Engineering) -- Analysis.
    Advisor
    DaDeppo, Donald A.
    
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    Publisher
    The University of Arizona.
    Rights
    Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
    Abstract
    The finite axisymmetric deformation of a thin shell of revolution is treated in this analysis. The governing differential equations are given for hyperelastic shell materials with Mooney-Rivlin and exponential strain energy density functions. These equations are solved numerically using a 4th order Runge-Kutta integration procedure. A generalized Newton-Raphson iteration process is used to systematically improve trial solutions of the differential equations. The governing differential equations are differentiated with respect to time to derive associated rate equations. The rate equations are solved numerically to generate the tangent stiffness matrix which is used to determine the load deformation history of the shell with incremental loading. Numerical examples are presented to illustrate the major characteristics of the nonlinear shell behavior and recommendations are made for future research.
    Type
    text
    Dissertation-Reproduction (electronic)
    Degree Name
    Ph.D.
    Degree Level
    doctoral
    Degree Program
    Civil Engineering and Engineering Mechanics
    Graduate College
    Degree Grantor
    University of Arizona
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