Effective Elastic Properties of 3-Phase Particle Reinforced Composites with Randomly Dispersed Elastic Spherical Particles of Different Sizes Dedicated to Professor Karl Stark Pister for his 95th birthday
作者机构：Civil Engineering and Construction Engineering ManagementCalifornia State UniversityLong BeachCA 90840-5101USA Civil and Environmental EngineeringUniversity of CaliforniaLos AngelesCA 90095-1593USA
出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)
年 卷 期：2021年第129卷第12期
页 面：1305-1328页
核心收录：
学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学]
基 金：This work was in part sponsored by the 2015-2016 California State University Long Beach Research Scholarship and Creative Activity(RSCA)Award
主 题：Particle reinforced composites micromechanics spherical particle interactions ensemble volume average homogenization probabilistic spatial distribution higher-order bounds multiscale
摘 要：Higher-order multiscale structures are proposed to predict the effective elastic properties of 3-phase particle reinforced composites by considering the probabilistic spherical particles spatial distribution,the particle interactions,and utilizing homogenization with ensemble volume average *** matrix material,spherical particles with radius a1,and spherical particles with radius a2,are denoted as the 0th phase,the 1st phase,and the 2nd phase,***,the two inhomogeneity phases are different particle sizes and the same elastic material *** higher-order(in ratio of spherical particle sizes to the distance between the centers of spherical particles)bounds on effective elastic properties of 3-phase particle reinforced proposed Formulation II and Formulation I derive *** a special case,i.e.,particle size of the 1st phase is the same as that of the 2nd phase,the proposed formulations reduce to 2-phase *** theoretical predictions demonstrate excellent agreement with selected experimental *** addition,several numerical examples are presented to demonstrate the competence of the proposed frameworks.
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