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On Reciprocity in General Linear Viscoelasticity

Lubliner, Jacob; Sackman, Jerome L.

UCB/SESM-1965/16, Dept. of Civil Engineering, University of California, Berkeley, 1965-12, 19 pages (500/C23/65/16)

A reciprocal theorem is developed for a time-variable, linear viscoelastic body whose mechanical properties are governed by a single aging time function. The reciprocal relation obtained is that of the Maxwell-Betti type, but it involves a convolution in time over a family of histories of mechanical states, rather than over a single history. A simple application of the theorem is made, to deduce a formula for the total volume change of a time-variable viscoelastic body.

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