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Minimum free energy for a rigid heat conductor and application to a discrete spectrum model. (English) Zbl 1183.80008

Summary: A general closed expression is given for the minimum free energy for a rigid heat conductor with memory effects. This formula, derived in the frequency domain, is related to the maximum recoverable work we can obtain from the material at a given state, which is characterized by the temperature and the past history of its gradient. Another explicit formula of the minimum free energy is also derived and used to obtain the results related to the particular case of a discrete spectrum model material response.

MSC:

80A20 Heat and mass transfer, heat flow (MSC2010)
74F05 Thermal effects in solid mechanics
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