"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.
Keith, Harold D. (Harold Dean), 1941-
Faucett, Terry R.
Barker, Clark R.
Davis, Robert L.
Gatley, William S.
Mechanical and Aerospace Engineering
Ph. D. in Mechanical Engineering
University of Missouri--Rolla
xii, 104 pages
© 1969 Ronald August Melliere, All rights reserved.
Dissertation - Open Access
Elastic plates and shells -- Stability
Finite element method
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Electronic OCLC #
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Melliere, Ronald August, "A finite element method for geometrically nonlinear large displacement problems in thin, elastic plates and shells" (1969). Doctoral Dissertations. 2102.