Analytical Solutions for the Deformation of Anisotropic Elastic and Piezothermoelastic Laminated Plates
|dc.contributor.author||Vel, Senthil S.||en_US|
|dc.description.abstract||The Eshelby-Stroh formalism is used to analyze the generalized plane strain
quasistatic deformations of an anisotropic, linear elastic laminated plate.
The formulation admits any set of boundary conditions on the edges and long
faces of the laminate. Each lamina may be generally anisotropic with as
many as 21 independent elastic constants. The three dimensional governing
differential equations are satisfied at every point of the body.
The boundary conditions and interface continuity conditions are satisfied
in the sense of a Fourier series. Results are presented for three sample
problems to illustrate the versatility of the method.
The solution methodology is generalized to study the deformation of finite rectangular plates subjected to arbitrary boundary conditions. The effect of truncation of the series on the accuracy of the solution is carefully examined. Results are presented for thick plates with two opposite edges simply supported and the other two subjected to eight different boundary conditions. The results are compared with three different plate theories. The solution exhibits boundary layers at the edges except when they are simply supported. Results are presented in tabular form for different sets of edge boundary conditions to facilitate comparisons with predictions from various plate theories and finite element formulations.
The Eshelby-Stroh formalism is also extended to study the generalized plane deformations of piezothermoelastic laminated plates. The method is capable of analyzing laminated plates with embedded piezothermoelastic patches. Results are presented for a thermoelastic problem and laminated elastic plates with piezothermoelastic lamina attached to its top surface. When a PZT actuator patch is attached to an elastic cantilever substrate, it is observed that the transverse shear stress and transverse normal stress are very large at the corners of the PZT-substrate interface.
This dissertation is organized in the form of three self-contained chapters each of which will be submitted for possible publication in a journal.
|dc.rights||I hereby grant to Virginia Tech or its agents the right to archive and to make available my thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.||en_US|
|dc.subject||Laminated thick plates||en_US|
|dc.title||Analytical Solutions for the Deformation of Anisotropic Elastic and Piezothermoelastic Laminated Plates||en_US|
|thesis.degree.grantor||Virginia Polytechnic Institute and State University||en_US|
|dc.contributor.committeechair||Batra, Romesh C.||en_US|
|dc.contributor.committeemember||Inman, Daniel J.||en_US|
|dc.contributor.committeemember||Gao, David Y.||en_US|
|dc.contributor.committeemember||Hyer, Michael W.||en_US|
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