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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(1):1-15; doi:10.1093/qjmam/23.1.1
© 1970 by Oxford University Press
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REVERSIBILITY, RECOVERABLE WORK AND FREE ENERGY IN LINEAR VISCOELASTICITY

W. A. DAY

( Hertford College and Mathematical Institute Oxford )

It is a problem of considerable interest in the mechanics of materials with memory to evaluate the maximum work recoverable from a strain history. In this paper the recoverable work is determined for a class of three-dimensional linear viscoelastic materials compatible with thermodynamics and a sequence of strain paths is found which ultimately maximizes the work. In addition a free energy function is constructed and an intimate relationship with a concept of reversibility is established.


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