Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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: 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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DOI: https://doi.org/10.1090/qam/231576
Article copyright: © Copyright 1968 American Mathematical Society

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