含界面相Voronoi单元等效弹性常数的计算  

Calculation of Equivalent Elastic Constants of Voronoi Cell with Interfacial Phase

作　　者：王挺 张蕊[1] 郭然[1] Ting Wang;Rui Zhang;Ran Guo(Kunming University of Science and Technology,Architectural Engineering Institute,Kunming,650504)

机构地区：[1]昆明理工大学建筑工程学院,昆明650504

出　　处：《固体力学学报》2021年第4期490-500,共11页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(12062007)资助。

摘　　要：采用含界面相Voronoi单元有限元法,根据广义胡克定律,计算了在给定边界条件下,颗粒增强复合材料的等效弹性常数.建立了含多个随机分布的椭圆形夹杂及界面相的VCFEM模型,分析了夹杂体分比,界面相厚度和界面相弹性模量等因素对颗粒增强复合材料等效弹性常数的影响,并利用普通有限元方法对比验证.结果表明,当界面相弹性模量小于基体与夹杂时,材料的等效弹性模量会随着界面相厚度的增大而减小,随着夹杂体分比的增大而减小,并且界面过薄时,材料的等效弹性模量会随着夹杂体分比的增大而增大;当界面相弹性模量大于基体或夹杂时,材料的等效弹性模量会随着夹杂体分比和界面相厚度的增大而增大.而界面相的厚度和弹性模量对材料的等效泊松比的影响较小,材料的等效泊松比主要受夹杂体分比的影响,与其呈反比关系.The equivalent elastic constants are important indicators to characterize the mechanical properties of materials.To study the influence of interface on the overall mechanical properties of particle-reinforced composites,the Voronoi cell finite element method(VCFEM)containing the interfacial phase is employed in this paper.According to the generalized Hooke’s law,we calculated the equivalent elastic constants of particle-reinforced composites under certain boundary conditions.In order to ensure the validity of the results,the VCFEM and the ordinary finite element model containing multiple randomly-distributed elliptical inclusions and interfacial phases were established.Then,the impacts of several factors,such as the volume fraction of inclusions,the thickness of the interfacial phase,and the elastic modulus of the interfacial phase,on the equivalent elastic constants of particle reinforced composites,were analyzed.It is found that the thickness and elastic modulus of the interfacial phase have greater influences on the equivalent elastic modulus of the material,but smaller influences on the equivalent Poisson’s ratio.Meanwhile,when the elastic modulus of the interfacial phase is smaller than that of the matrix or inclusion,the equivalent elastic modulus of the material is inversely proportional to the thickness of the interfacial phase and the volume fraction of inclusions.Furthermore,when the interface is very thin,the equivalent elastic modulus is proportional to the volume fraction of inclusions.When the elastic modulus of the interfacial phase is greater than that of the matrix or inclusion,the equivalent elastic modulus of the material is proportional to the volume fraction of the inclusions and the thickness of the interfacial phase.

关 键 词：界面相 Voronoi单元 颗粒增强复合材料 广义胡克定律 等效弹性常数 

分 类 号：TB33[一般工业技术—材料科学与工程]