Nonlinear Stability, Thermoelastic Contact, and the Barber Condition

[+] Author and Article Information
J. A. Pelesko

School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160

J. Appl. Mech 68(1), 28-33 (Jun 26, 2000) (6 pages) doi:10.1115/1.1345699 History: Received September 24, 1999; Revised June 26, 2000
Copyright © 2001 by ASME
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Segel, L. A., 1966, “Nonlinear Hydrodynamic Stability Theory and Its Application to Thermal Convection and Curved Flows,” Non Equilibrium Thermodynamics: Variational Techniques and Stability, University of Chicago Press, Chicago, IL.
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Grahic Jump Location
Sketch of the model geometry
Grahic Jump Location
A typical contact resistance function
Grahic Jump Location
Geometric solution of the steady-state problem
Grahic Jump Location
Bifurcation diagram showing the constant in the steady solution as a function of the bifurcation parameter, δ
Grahic Jump Location
Behavior of solutions to the amplitude equation, which governs A(τ)



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