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This note deals with stiffness tensors measured from anisotropic linearelastic materials, whose symmetry is unknown. Their possible symmetries (exactor approximative) are revealed by a pole figure. An intrinsic function allowsone to obtain a stiffness tensor which posses the chosen symmetry, the nearestfrom the measured tensor, and its associated natural symmetry basis. For eachsymmetry level, a distance between these tensors is given. The measurement ofthe stiffness tensor is done with an ultrasonic direct contact method. It isapplied onto a 26 faces oak specimen.

Une nouvelle analyse des sym\'etries d'un mat\'eriau \'elastique anisotrope. Exemple d'utilisation \`a partir de mesures ultrasonores