基于计算均匀化的夹杂颗粒复合材料参数研究
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摘要
夹杂颗粒复合材料分布形态各异,为确定其力学参数,基于计算均匀化方法,结合随机周期复合材料模型生成算法,提出了一种由表征单元体计算夹杂颗粒复合材料弹性模量的方法,研究了夹杂颗粒分布形态、尺寸和含量对复合材料力学参数的影响。复合材料在颗粒随机分布时表现为各向同性,在颗粒沿一定方向分布时表现为各向异性;复合材料力学参数随单元体尺寸增大逐渐稳定;弹性模量随颗粒含量增加而增大,泊松比随颗粒含量增加而减小。结果表明计算均匀化是研究复合材料力学参数的有效方法。
The mechanical parameters of composite materials with inclusion particles are important in engineering. Based on the computational homogenization method and the random periodic composite material model generation algorithm,a method was proposed to calculate the elastic modulus of the composite material with inclusion particles from representative elementary volume,and the influence of the distribution,size and content of the inclusion particles on the mechanical parameters of the composite material was studied. The composites show isotropy when the particles are randomly distributed and anisotropy when the particles are distributed along a certain direction. The mechanical parameters of composites become stable with the increase of element size. The elastic modulus increases with the increase of particle content,and poisson's ratio decreases with the increase of particle content.The results show that the calculation of homogenization is an effective method to study the mechanical parameters of composite materials.
The mechanical parameters of composite materials with inclusion particles are important in engineering. Based on the computational homogenization method and the random periodic composite material model generation algorithm,a method was proposed to calculate the elastic modulus of the composite material with inclusion particles from representative elementary volume,and the influence of the distribution,size and content of the inclusion particles on the mechanical parameters of the composite material was studied. The composites show isotropy when the particles are randomly distributed and anisotropy when the particles are distributed along a certain direction. The mechanical parameters of composites become stable with the increase of element size. The elastic modulus increases with the increase of particle content,and poisson's ratio decreases with the increase of particle content.The results show that the calculation of homogenization is an effective method to study the mechanical parameters of composite materials.
引文
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[2]XIA Z H,ZHANG Y F,ELLYIN F,A unified periodical boundary conditions for representative volume elements of composites and applications. International Journal of Solids and Structures[J].2003,40(8):1907-1921.
[3]AL-OSTAZ A,ANIPINDI D,KHALID I A. Statistical model for characterizing random microstructure of inclusion-matrix composites. Journal of Materials Science[J].2007,42(16):7016-7030.
[4]MENG Q X,WANG H L,XU W Y et al,A numerical homogenization study of the elastic property of a soilrock mixture using random mesostructure generation[J].Computers&Geotechnics.2018,98(6):48–57.
[5]MASMOUDIM,KADDOURIW,KANITTet al.Modeling of the effect of the void shape on effective ultimate tensile strength of porous materials:numerical homogenization versus experimental results[J].International Journal of Mechanical Sciences.2017,130:497-507.
[6]葛超,董永香,宋卿.基于Al/PTFE真实细观特性统计模型的宏观力学性能模拟[J].复合材料学报.2016,33(11):2528-2536.