Linear and nonlinear analyses of thick composite circular plates using the finite element method
Thiel, George Henry
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Permalink
https://hdl.handle.net/2142/19716
Description
Title
Linear and nonlinear analyses of thick composite circular plates using the finite element method
Author(s)
Thiel, George Henry
Issue Date
1991
Doctoral Committee Chair(s)
Miller, Robert E.
Department of Study
Mechanical Science and Engineering
Discipline
Mechanical Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Engineering, Aerospace
Engineering, Civil
Language
eng
Abstract
A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but not continuity of the traction vectors. The element does not account for interlaminar slip or debonding between the layers. Each layer in the laminated plate is allowed an independent rotation. Hence, the model gives more accurate results than classical lamination theory models.
The plate element is more efficient than solid elements because it accurately models the structure while keeping the degrees of freedom per element to a minimum. Also, if one uses solid elements to model a laminated circular plate, many more elements would have to be used in the model to avoid loss of accuracy due to a large aspect ratio. The new element is also immune from shear locking (at least for radius to thickness ratios up to 500) without having to incorporate complex numerical integration schemes. In fact, the element's stiffness matrix may be integrated in closed form; this is not possible for most plate elements in the literature.
The circular plate element is incorporated into a nonlinear finite element code based on the total Lagrangian formulation. The inclusion of the shear deformation allows this finite element to model the large deflection of laminated circular plates accurately and efficiently.
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