Keywords

Thermal stresses, Thermoelasticity

Abstract

In this paper the effects of inertia are explored for the case of a thermal excitation applied on the surface of an infinitely long, solid circular cylinder. The linear uncoupled field equations for a homogeneous, isotropic, thermoelastic medium are used to derive the desired field equations of stress and displacement. The solution procedure included, first, the determination of the thermal boundary value problem from the energy equation which is identically satisfied for the uncoupled condition. Secondly, substitution of the strain-displacement relationships and the previously obtained thermal relation into the equilibrium equation containing inertial effects. The equilibrium equation is the only nonidentically satisfied equation. Thirdly, a solution of this equation is then found in the S-domain by Laplace transformation. Finally, the desired displacement equation is transformed into the time-domain as a function of temperature, time and radius of the cylinder by using inverse Laplace transforms and the calculus of residues.

Notes

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Graduation Date

1978

Advisor

Jenkins, David R.

Degree

Master of Science (M.S.)

College

College of Engineering

Degree Program

Engineering Mechancis and Structures

Format

PDF

Pages

ix, 108 pages

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0013161

Subjects

Thermal stresses, Thermoelasticity

Collection (Linked data)

Retrospective Theses and Dissertations

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