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Journal articles
Numerical determination of the mean value of an elasticity tensor by integration over the rotation group with Haar measure
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).
https://hal-univ-evry.archives-ouvertes.fr/hal-02398146
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Submitted on : Friday, June 4, 2021 - 8:40:31 PM
Last modification on : Tuesday, October 5, 2021 - 10:21:23 AM
Long-term archiving on: : Sunday, September 5, 2021 - 9:06:39 PM
Contributor : Univ Évry HAL Connect in order to contact the contributor
Submitted on : Friday, June 4, 2021 - 8:40:31 PM
Last modification on : Tuesday, October 5, 2021 - 10:21:23 AM
Long-term archiving on: : Sunday, September 5, 2021 - 9:06:39 PM
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Atchonouglo2015.pdf
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