Doctoral Dissertations

Abstract

"A finite element method is presented for geometrically nonlinear large displacement problems in thin, elastic plates and shells of arbitrary shape and boundary conditions subject to externally applied concentrated or distributed loading. The initially flat plate or curved shell is idealized as an assemblage of flat, triangular plate, finite elements representing both membrane and flexural properties. The 'geometrical' stiffness of the resulting eighteen degree-of-freedom triangular element is derived from a purely geometrical standpoint. This stiffness in conjunction with the standard small displacement 'elastic' stiffness is used in the linear-incremental approach to obtain numerical solutions to the large displacement problem. Only stable equilibrium configurations are considered and engineering strains are assumed to remain small. Four examples are presented to demonstrate the validity and versatility of the method and to point out its deficiencies"--Abstract, page ii.

Advisor(s)

Keith, Harold D. (Harold Dean), 1941-

Committee Member(s)

Faucett, Terry R.
Barker, Clark R.
Haddock, Glen
Davis, Robert L.
Gatley, William S.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1969

Pagination

xii, 104 pages

Note about bibliography

Includes bibliographical references (pages 82-83).

Rights

© 1969 Ronald August Melliere, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Elastic plates and shells -- Stability
Finite element method
Buckling (Mechanics)
Stress concentration

Thesis Number

T 2353

Print OCLC #

6019464

Electronic OCLC #

851576319

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