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On fast and accurate modelling of distributed fibre directions in composites

This contribution presents an alternative approach for the consideration of distributed fibre directions in a composite, which is almost as accurate as the solution of angular integrals but considerably faster. It makes use of representative directions according to an Angular Central Gaussian distribution function and does not require the solution of angular integrals. As the choice of the representative directions bears a significant impact on the accuracy of the method, a study on the integration error is presented. Furthermore, the results of homogeneous deformations using the already existing methods as well as the new approach are compared to each other, pointing out the advantages and disadvantages of each method. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)