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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(4):493-497; doi:10.1093/qjmam/29.4.493
© 1976 by Oxford University Press
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ON THE SIGN OF THE SPECIFIC HEAT

MORTON E. GURTIN and SCOTT J. SPECTOR

( Department of Mathematics, Carnegie-Mellon University Pittsburgh, Pennsylvania 15213, USA )

It is shown that a non-negative specific heat is a necessary condition for dynamic stability, at least for those states at which the free-energy has a local isothermal minimum. The theorem is proved for an elastic body whose boundary is clamped and held at constant temperature.


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