Numerical Determination of the Mean Value of an Elasticity Tensor by Integration over the Rotation Group with Haar Measure

Atchonouglo, Kossi and Vallee, Claude and Feng, Zi-Qiang and Chaoufi, Jamal (2015) Numerical Determination of the Mean Value of an Elasticity Tensor by Integration over the Rotation Group with Haar Measure. British Journal of Mathematics & Computer Science, 10 (4). pp. 1-9. ISSN 22310851

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Abstract

Let A be a 3D symmetric elasticity tensor not necessary isotropic. If μ is an invariant measure on SO(3), then μ is a convex combinaison of the Haar measure. The nearest isotropic elasticity tensor is obtained by integrating the tensor A on the rotation group SO(3). For the numerical approach, we integrate the elasticity tensor on the unit ordinary ball B(0, 1).

Item Type: Article
Subjects: South Asian Archive > Mathematical Science
Depositing User: Unnamed user with email support@southasianarchive.com
Date Deposited: 06 Jul 2023 04:30
Last Modified: 05 Sep 2024 11:30
URI: http://article.journalrepositoryarticle.com/id/eprint/1115

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