Toward Analytical Homogenized Relaxation Modulus for Fibrous Composite Material with Reduced Order Homogenization Method  

作　　者：Huilin Jia Shanqiao Huang Zifeng Yuan 

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

出　　处：《Computers, Materials & Continua》2025年第1期193-222,共30页计算机、材料和连续体（英文）

基　　金：support by the National Key R&D Program of China(Grant No.2023YFA1008901);the National Natural Science Foundation of China(Grant Nos.11988102,12172009)is gratefully acknowledged.

摘　　要：In this manuscript,we propose an analytical equivalent linear viscoelastic constitutive model for fiber-reinforced composites,bypassing general computational homogenization.The method is based on the reduced-order homogenization(ROH)approach.The ROH method typically involves solving multiple finite element problems under periodic conditions to evaluate elastic strain and eigenstrain influence functions in an‘off-line’stage,which offers substantial cost savings compared to direct computational homogenization methods.Due to the unique structure of the fibrous unit cell,“off-line”stage calculation can be eliminated by influence functions obtained analytically.Introducing the standard solid model to the ROH method enables the creation of a comprehensive analytical homogeneous viscoelastic constitutive model.This method treats fibrous composite materials as homogeneous,anisotropic viscoelastic materials,significantly reducing computational time due to its analytical nature.This approach also enables precise determination of a homogenized anisotropic relaxation modulus and accurate capture of various viscoelastic responses under different loading conditions.Three sets of numerical examples,including unit cell tests,three-point beam bending tests,and torsion tests,are given to demonstrate the predictive performance of the homogenized viscoelastic model.Furthermore,the model is validated against experimental measurements,confirming its accuracy and reliability.

关 键 词：Homogenized relaxation modulus VISCOELASTIC standard solid model reduced order homogenization fibrous composite material 

分 类 号：O34[理学—固体力学]