Variational principles for linear coupled thermoelasticity

Authors:
R. E. Nickell and J. L. Sackman

Journal:
Quart. Appl. Math. **26** (1968), 11-26

MSC:
Primary 73.49

DOI:
https://doi.org/10.1090/qam/231576

MathSciNet review:
231576

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Abstract | References | Similar Articles | Additional Information

Abstract: Several variational principles are derived for the initial-boundary-value problem of fully coupled linear thermoelasticity for an inhomogeneous, anisotropic continuum. A consistent set of field variables is employed and a method based on the Laplace transform is used to incorporate the initial conditions explicitly into the formulation. These principles lend themselves readily to numerical solutions based on an extended Ritz method.

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Additional Information

DOI:
https://doi.org/10.1090/qam/231576

Article copyright:
© Copyright 1968
American Mathematical Society