Document Type

Thesis

Date of Award

8-31-1986

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Sachio Nakamura

Second Advisor

Bernard Koplik

Third Advisor

Avraham Harnoy

Abstract

The purpose of this thesis is to describe the addition of an 8 and 20-node isoparametric brick element to the finite element program ANALYZE, permitting three-dimensional analysis. The reason for the addition is that even though Analyze is a relatively simple program, its simplicity makes it a good educational tool for finite element courses. The added brick element expands the use of the program for educational purposes.

In its original form, Analyze is a finite element package for static structural analysis developed at Wright Patterson Air Force Base. The program consists of four finite elements: (1) bar, (2) membrane triangle, (3) membrane quadrilateral, and (4) shear panel, whose stiffness matrices are formed using the generalized coordinate method.

The addition of the brick element was performed utilizing the existing subroutines and four subroutines pertaining to the brick element. The latter include (1) elastic constants matrix subroutine, (2) numerical integration subroutine, (3) shape function and strain-displacement matrix subroutine, and (4) stress subroutine. The entire program was numerically verified and the results agree with known solutions.

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