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

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