Discrete Radon Transform and the Bounding Effective Properties of Periodical Isotropic Two-Phase Thermal Materials
作者机构:Civil Engineering and Mechanic Lab Science and Technic FacultyTangier
出 版 物:《材料科学与工程(中英文B版)》 (Journal of Materials Science and Engineering B)
年 卷 期:2018年第8卷第5期
页 面:208-214页
学科分类:08[工学]
主 题:Homogenization finite radon transform Hashin-Shtrikman bounds periodical media symmetric heterogeneous conductivity fibrous media
摘 要:This work is related to bounding the effective conductivity of an isotropic two-phase fibrous periodical *** well known bounds are classically obtained for any inclusion shape by the fourier ***,they can be expressed only in the Fourier space.A real formulation of the solution of the periodical conductivity problem based on the discrete Radon transform has been recently *** use of this framework leads us here to a simple and explicit real bounds for effective *** effect of the microstructure is hence more *** is also shown here that the obtained bounds coincide with the classical Hashin Shtrikmann bounds when the microstructure has some specific symmetry.