Masters Theses

Abstract

"A method of determining the stress distribution in a thin plate deformed with a spherical indenter is presented in this report. The analysis is formulated in cylindrical coordinates and utilizes the basic principles of plasticity (von Mises yield criteria, Luwig stress-strain equation, Hencky Deformation theory, etc.). The problem is solved through the utility of a displacement function that, by virtue of its definition, automatically assures that the condition of volume constancy is satisfied. The boundary conditions are selected on the basis of having average, or integrated, effects corresponding to the physical constraints of the problem. Numerical integration is introduced to assist in the handling of the complicated calculations. Experimental results have been documented that verify the analytical analysis and show the response of plates of variable thickness and different materials subjected to the action of a spherical indenter"--Abstract, page [ii].

Advisor(s)

Davis, Robert L.

Committee Member(s)

Joiner, James W., 1931-2013
Davidson, Robert F., 1911-1971
Hanse, Peter Gardner

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Engineering Mechanics

Publisher

University of Missouri at Rolla

Publication Date

1967

Pagination

vii, 63 pages

Note about bibliography

Includes bibliographical references (pages 61-64).

Rights

© 1967 Benjamin Jan-An Chang, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Plasticity -- Mathematical models
Plates (Engineering)
Stress concentration
Surfaces, Deformation of

Thesis Number

T 2064

Print OCLC #

5994493

Electronic OCLC #

793357531

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