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ON RECIPROCITY IN GENERAL LINEAR VISCOELASTICITY.
Interim technical rept.,
CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB
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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 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. Author
APPROVED FOR PUBLIC RELEASE