A Study of the 1+2 Partitioning Scheme of Fibrous Unitcell under Reduced-Order Homogenization Method with Analytical Influence Functions  

作　　者：Shanqiao Huang Zifeng Yuan 

机构地区：[1]HEDPS,Center for Applied Physics and Technology(CAPT),Department of Mechanics and Engineering Science,College of Engineering,Peking University,Beijing,100871,China [2]State Key Laboratory for Turbulence and Complex Systems,Peking University,Beijing,100871,China

出　　处：《Computer Modeling in Engineering & Sciences》2025年第3期2893-2924,共32页工程与科学中的计算机建模(英文)

基　　金：funded by the National Key R&D Program of China(Grant No.2023YFA1008901);the National Natural Science Foundation of China(Grant Nos.11988102,12172009);“The Fundamental Research Funds for the Central Universities,Peking University”.

摘　　要：The multiscale computational method with asymptotic analysis and reduced-order homogenization(ROH)gives a practical numerical solution for engineering problems,especially composite materials.Under the ROH framework,a partition-based unitcell structure at the mesoscale is utilized to give a mechanical state at the macro-scale quadrature point with pre-evaluated influence functions.In the past,the“1-phase,1-partition”rule was usually adopted in numerical analysis,where one constituent phase at the mesoscale formed one partition.The numerical cost then is significantly reduced by introducing an assumption that the mechanical responses are the same all the time at the same constituent,while it also introduces numerical inaccuracy.This study proposes a new partitioning method for fibrous unitcells under a reduced-order homogenization methodology.In this method,the fiber phase remains 1 partition,but the matrix phase is divided into 2 partitions,which refers to the“12”partitioning scheme.Analytical elastic influence+functions are derived by introducing the elastic strain energy equivalence(Hill-Mandel condition).This research also obtains the analytical eigenstrain influence functions by alleviating the so-called“inclusion-locking”phenomenon.In addition,a numerical approach to minimize the error of strain energy density is introduced to determine the partitioning of the matrix phase.Several numerical examples are presented to compare the differences among direct numerical simulation(DNS),“11”,and“12”partitioning schemes.The numerical simulations show improved++numerical accuracy by the“12”partitioning scheme.

关 键 词：Multiscale reduced-order homogenization influence tensors unitcell fibrous composite mate 

分 类 号：TB332[一般工业技术—材料科学与工程]