Date of Award
Fall 1995
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mechanical & Aerospace Engineering
Program/Concentration
Mechanical Engineering
Committee Director
Morman F. Knight, Jr.
Committee Member
Chuh Mei
Committee Member
Mohammad A. Aminpour
Call Number for Print
Special Collections; LD4331.E56 D39
Abstract
The development and implementation of high-order Lagrangian and serendipity quadrilateral elements including a biquartic Lagrangian element, a 16-node serendipity element, and a 17-node serendipity element are presented and assessed. This assessment includes an evaluation of the patch test, an element eigenvalue test to detect any zero-energy modes, and selected plane stress problems. The effects of using both full and reduced numerical integration procedures and optimum locations for stress recovery are discussed. All elements evaluated represent the three rigid-body modes without inducing strains, exhibit geometric isotropy, and pass the membrane patch test. The most promising high-order quadrilateral element proved to be the 17-node serendipity element which has the same geometry as the 16-node serendipity element with the addition of a center node. This element was typically able to perform almost as well as the 25-node Lagrangian element at a much reduced cost.
Rights
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DOI
10.25777/n57k-dg18
Recommended Citation
Davis, Timothy S..
"Assessment of High-Order Serendipity and Lagrangian Quadrilateral Membrane Elements"
(1995). Master of Science (MS), Thesis, Mechanical & Aerospace Engineering, Old Dominion University, DOI: 10.25777/n57k-dg18
https://digitalcommons.odu.edu/mae_etds/468