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Kohlrausch-Williams-Watts Equation

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Encyclopedic Dictionary of Polymers
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n This empirical equation aids designers of load-bearing products made of plastics and reinforced plastics.

$$G(t) = G_o e^{ - (t/t_o )^m }$$

Where G(t) is the stress-relaxed modulus of the test piece at time t from application of the load, G o is the modulus at the reference time t o, usually in the range of a set of measurements on the logarithmic time scale, and m is a material-specific constant between 0.33 and 0.5 for many polymers and composites. (Handbook of physical polymer testing, vol 50. Brown R (ed). Marcel Dekker, New York, 1999; Shah V (1998) Handbook of plastics testing technology. Wiley, New York).

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Gooch, J.W. (2011). Kohlrausch-Williams-Watts Equation. In: Gooch, J.W. (eds) Encyclopedic Dictionary of Polymers. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6247-8_6705

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