Dimensionality reduction of a complex constitutive law for Ceramic Matrix Composites

Orestis Friderikos (1) , Emmanuel Baranger (1)

1 LMT - Laboratoire de Mécanique et Technologie

Dimensionality reduction of a constitutive law describing the complex anisotropic material behavior of SiC/SiC Ceramic Matrix Composites (CMCs) is performed using a technique of multivariate analysis i.e., Principal Component Analysis (PCA). An approximation of the thermodynamic state potential of the original model with a simplified one that has a reduced set of internal damage variables is introduced. To this end, PCA is deployed to determine the optimal damage kinematics for a certain range of loading conditions via minimization of a prescribed error norm. The evolution laws linking the new damage variables with the associated conjugate thermodynamic forces are hereafter identified.

Mots clés: Anisotropic material behavior; CMCs; Reduced modeling; PCA

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Orestis Friderikos, Emmanuel Baranger. Dimensionality reduction of a complex constitutive law for Ceramic Matrix Composites. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855895⟩