Persistent Link:
http://hdl.handle.net/10150/187791
Title:
FINITE AXISYMMETRIC DEFORMATION OF A THIN SHELL OF REVOLUTION.
Author:
KEPPEL, WILLIAM JAMES.
Issue Date:
1984
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)
Keywords:
Elastic plates and shells.; Shells (Engineering) -- Analysis.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Civil Engineering and Engineering Mechanics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
DaDeppo, Donald A.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleFINITE AXISYMMETRIC DEFORMATION OF A THIN SHELL OF REVOLUTION.en_US
dc.creatorKEPPEL, WILLIAM JAMES.en_US
dc.contributor.authorKEPPEL, WILLIAM JAMES.en_US
dc.date.issued1984en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © 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.en_US
dc.description.abstractThe 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.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectElastic plates and shells.en_US
dc.subjectShells (Engineering) -- Analysis.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineCivil Engineering and Engineering Mechanicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorDaDeppo, Donald A.en_US
dc.identifier.proquest8500465en_US
dc.identifier.oclc693327460en_US
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