Homogenization of multi-phase composites based on a revisited formulation of the multi-coated inclusion problem

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• 作者：F. Dinzart^a ; ^{dinzart@enim.fr" class="auth_mail" title="E-mail the corresponding author} ; H. Sabar^a ; ¹ ; ^{sabar@enim.fr" class="auth_mail" title="E-mail the corresponding author} ; S. Berbenni^b ; ² ; ^{Stephane.berbenni@univ-lorraine.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Composite material ; Interphase ; Micromechanics ; Multi-coated inclusion model ; Homogenization
• 刊名：International Journal of Engineering Science
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：100
• 期：Complete
• 页码：136-151
• 全文大小：1380 K

文摘

In this work, the effective elastic properties of composite materials with multi-coated reinforcements are estimated by a new formulation of the multi-inclusion model based on Green's functions technique and integral equation which gives the local strain and stress fields through strain concentration equations in each phase of the composite-inclusion. The effective behavior of multi-coated inclusion-reinforced material is determined within a ‘(N+1)-phase’ Generalized Self-Consistent Scheme. To assess the present model's reliability, some comparisons with other micromechanical models and exact solutions are presented. The model is applied to two-phase and three-phase materials and the results are compared to exact analytical solutions for the case of spherical inclusion and isotropic elastic behavior. Some results for three-phase materials are given regarding the influence of constituents’ volume fraction. Furthermore, the effects of the mechanical contrast between phases and the shape of inclusions are studied.