Controllable states of elastic heat conductors obeying a fourier law

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Abstract

Exact solutions to the equations of general thermoelasticity are derived for a class of homogeneous, isotropic, incompressible materials characterized by a quite general temperature-dependent free energy function and three material constants governing heat-flux response. Various combinations of inflation, torsion, extension, and shearing deformations of annular wedges are found to be controllable when coupled with certain radial or axial temperature gradients. A precise list of the controllable states is given in section 9.

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Present address: Argonne National Laboratory, Argonne, IL 60439, U.S.A.

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