Zi-Qiang Feng

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

Kossi Atchonouglo, Claude Vallee, Zi-Qiang Feng & Jamal Chaoufi · Journal of Advances in Mathematics and Computer Science · 2015

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 numer...