A comparison of numerical methods for computing the exact closure for short-fiber composites

ORCID
0009-0002-7998-4438
LSF
63435
Affiliation
Institute of Engineering Mathematics, University of Duisburg-Essen, Essen, Germany
Mehta, Alok; Schneider, Matti
We present efficient algorithms for computing fourth-order fiber orientation tensors associated to the exact closure. Based on quadrature using spherical designs, we investigate Newton’s method as well as a fixed point scheme. These methods serve as alternatives to the original approach utilizing elliptic integrals. We compare the convergence behavior and the computational performance of both algorithms.

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