"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.
Hansen, Peter G., 1927-2010
Senne, Joseph H.
Keith, Harold D. (Harold Dean), 1941-
Mechanical and Aerospace Engineering
M.S. in Engineering Mechanics
University of Missouri--Rolla
ix, 57 pages
© 1972 Kenneth Byron Oster, All rights reserved.
Thesis - Open Access
Strains and stresses -- Mathematical models
Thermal stresses -- Mathematical models
Stress concentration -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Oster, Kenneth Byron, "A comparison of analytical and experimental approaches in determining the thermoelastic stresses around a cylindrical inclusion of elliptical cross-section" (1972). Masters Theses. 5326.