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

Mehta, Alok; Schneider, Matti

doi:10.1002/pamm.202400202

Article / Chapter Thu Nov 14 2024 CC BY 4.0

published

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

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.

Preview

Category

Published in:

BeyondRVE : Beyond Representative Volume Elements for Random Heterogeneous Materials
(14.11.2024)

Date Issued:

14.11.2024

URN:

urn:nbn:de:hbz:465-20250224-150413-6

DOI:

10.1002/pamm.202400202

Language:

English

Type of Resource:

Text

Collection:

E-Publications

Subject categories of the Deutsche Nationalbibliografie:

620 Engineering & allied operations

Hosting institution:

Faculty of Engineering, Bauwissenschaften, Bauingenieurwesen, Ingenieurmathematik

funding:

The support of the European Research Council through the Horizon Europe program-project 101040238 is gratefully acknowledged.

Open access funding enabled and organized by Projekt DEAL.

Info on primary publication:

Mehta, A., & Schneider, M. (2024). A comparison of numerical methods for computing the exact closure for short-fiber composites. Proceedings in Applied Mathematics and Mechanics, 24, e202400202. https://doi.org/10.1002/pamm.202400202

First published: 14 November 2024

version identification: