Exact evaluation of the integral involved in Doi-Edwards constitutive equations

Fabrikant, V.

doi:10.1090/S0033-569X-2012-01273-1

Author: V. I. Fabrikant
Journal: Quart. Appl. Math. 70 (2012), 787-792
MSC (2000): Primary 76A05, 33E05
DOI: https://doi.org/10.1090/S0033-569X-2012-01273-1
Published electronically: July 18, 2012
MathSciNet review: 3052091
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Abstract: A basic two-dimensional integral, used for establishment of a connection between the stress and the strain tensor, is evaluated exactly and in closed form in terms of elliptic integrals of the first and the second kind. This integral has not been evaluated before. Our result will allow exact analysis of entangled polymeric systems. A generalization of the basic integral is presented in the last section.

References

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