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
Subject Headings
Plasticity -- Mathematical modelsPlates (Engineering)Stress concentrationSurfaces, Deformation of
Thesis Number
T 2064
Print OCLC #
5994493
Electronic OCLC #
793357531
Recommended Citation
Chang, Benjamin Jen-An, "Plastic deformation of thin plates with a spherical indenter" (1967). Masters Theses. 5161.
https://scholarsmine.mst.edu/masters_theses/5161