https://hal.archives-ouvertes.fr/hal-00689699Soize, ChristianChristianSoizeLaM - Laboratoire de Mécanique - UPEM - Université Paris-Est Marne-la-ValléeA class of tensor-valued random fields for random anisotropic elastic microstructure modeling and stochastic homogenizationHAL CCSD2007random fieldsnon-Gaussiantensorrandom microstructureanisotropicelastic microstructurestochastic homogenizationmicro-scale stochastic modelRepresentative Volume Element (RVE)random effective stiffness tensor[MATH.MATH-PR] Mathematics [math]/Probability [math.PR][SPI.MECA.MEMA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph][PHYS.MECA.MEMA] Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]Soize, ChristianG. Deodatis and P.D. Spanos (eds)2012-04-19 18:48:502022-09-29 14:21:152012-04-20 09:54:43enConference papersapplication/pdf1A generic micro-scale stochastic model is presented for a large class of random anisotropic elastic microstructures allowing a parametric analysis of the Representative Volume Element (RVE) size to be performed. This new approach can be useful for a direct experimental identification of random anisotropic elastic microstructures when the standard method cannot easily be applied. Such a RVE is used to construct the macroscopic properties in the context of stochastic homogenization. The probability analysis is not performed as usual for a given particular random microstructure defined in terms of its constituents, but is performed for a large class of random anisotropic elastic microstructures. For this class, the probability istribution of the random effective stiffness tensor is explicitly constructed and allows a full probability analysis of the RVE size to be carried out with respect to the spatial correlation length of the random microstructure.