Masters Theses

Abstract

"Three approaches are used to determine the principal stress differences in an infinite elastic medium containing a cylindrical inclusion of elliptic cross-section due to a uniform temperature change. First, the two-dimensional equations of thermoelasticity are solved resulting in equations for the stress components anywhere in the medium material. Second, boundary displacements based on stress-strain relations are used as input displacements in a finite element program of the medium. Third, these same boundary displacements are used as input displacements on a photoelastic model simulating the medium. The problem is treated as one of plane strain in the first approach and one of generalized plane stress in the latter two approaches. The latter two approaches are equivalent to a second boundary-value problem in the theory of elasticity. Comparison is made of the resulting principal stress differences using the above three approaches "--Abstract, page ii.

Advisor(s)

Hansen, Peter G., 1927-2010

Committee Member(s)

Senne, Joseph H.
Keith, Harold D. (Harold Dean), 1941-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Engineering Mechanics

Publisher

University of Missouri--Rolla

Publication Date

1972

Pagination

ix, 57 pages

Rights

© 1972 Kenneth Byron Oster, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Strains and stresses -- Mathematical models
Thermal stresses -- Mathematical models
Stress concentration -- Mathematical models
Photoelasticity

Thesis Number

T 2740

Print OCLC #

6033855

Electronic OCLC #

884340585

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