"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].
Davis, Robert L.
Joiner, James W., 1931-2013
Davidson, Robert F., 1911-1971
Hanse, Peter Gardner
Mechanical and Aerospace Engineering
M.S. in Engineering Mechanics
University of Missouri at Rolla
vii, 63 pages
© 1967 Benjamin Jan-An Chang, All rights reserved.
Thesis - Open Access
Plasticity -- Mathematical models
Surfaces, Deformation of
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Chang, Benjamin Jen-An, "Plastic deformation of thin plates with a spherical indenter" (1967). Masters Theses. 5161.