Ritz Solutions for Thermoelastic Cylinders

by Theodore R. Tauchert, (M.ASCE), Prof.; Dept. of Engrg. Mechanics, Univ. of Kentucky, Lexington, Ky.,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 5, Pg. 825-837

Document Type: Journal Paper


The use of Rayleigh-Ritz and modified Rayleigh-Ritz techniques for quasistatic thermal stress analysis of nonhomogeneous anistropic elastic bodies is examined. General expressions for the thermoelastic energies are written, and reduction of the general formulation to the problem of a nonhomogeneous orthotropic circular cylinder under a radial temperature distribution is illustrated. Approximate solutions for the deformations and stresses are compared with exact thermoelastic solutions in special cases of homogeneous cylinders, and with finite element solutions in cases of nonhomogeneous cylinders.

Subject Headings: Homogeneity | Thermoelasticity | Cylinders | Stress analysis | Thermal analysis | Thermal loads | Elastic analysis | Temperature distribution

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