Study of the influence of shape and orientation of the pores on the rigidity of porous materials through a homogeneization method

摘要

This study deals with the modelling of" the mechanical behaviour of an anisotropic porous material made up of ellipsoidal pores uniaxially oriented according to the geometric parameters that characterize porosity. To do so we used a homogeneization technique based on the finite element method and the coupling of porosity parameters was taken into account. This approach made possible both the introduction of the quantitative and qualitative aspect of porosity and the transcription of mechanical anisotropy due to geometric anisotropy. We thus determined the homogeneized elasticity moduli which traduce rigidity of the material both parallel and perpendicular to the flattening of the pores according to their shape coefficient and porosity. The results show the advantage of anisotropy in the case of building materials such as cellular concretes. Indeed we noticed that with equal porosity a material made up of ellipsoidal pores is more rigid on the mechanical level - parallelly to the flattening of pores - than a material made up of spherical pores.