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Virginia Polytechnic Institute and State University

Analytical solutions for the statics and dynamics of rectangular laminated composite plates using shearing deformation theories

Abstract

dc:description.abstract

The Levy-type analytical solutions in conjunction with the state-space concept are developed for symmetric laminated composite rectangular plates. Combinations of simply-supported, free and clamped boundary conditions are considered. The solutions are obtained for the first-order and higher-order theories in predicting the transverse deflections and stresses. Numerical results are presented for various boundary conditions, aspect ratios, lamination schemes and different loadings. The developments of these theories accomplished in general coordinates allow one to fulfill both the invariance requirements and to derive the relevant equations in any convenient planar systems of coordinates. The dynamic response problems are analyzed in the framework of higher order theories where the effects of transverse normal stress and rotary inertia forces are evaluated. The comparison between the theories as well as previously reported results is reported.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Engineering Mechanics
Department dc:contributor.department
Engineering Mechanics
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1986

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Khdeir, Ahmed Adel
Chair dc:contributor.committeechair
  • Reddy, Junuthula N.
Committee members dc:contributor.committeemember
  • Frederick, Daniel
  • Librescu, Liviu
  • Smith, C.W.
  • Plaut, Raymond H.

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/49808
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/49808

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
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citation

Khdeir, Ahmed Adel. Analytical solutions for the statics and dynamics of rectangular laminated composite plates using shearing deformation theories. doctoral thesis, Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/49808