Semi-analytical finite element method applied for characterizing micropolar fibrous composites  

作　　者：J.A.OTERO Y.ESPINOSA-ALMEYDA R.RODRIGUEZ-RAMOS J.MERODIO 

机构地区：[1]School of Engineering and Sciences,Monterrey Institute of Technology,Estado de Mexico 52926,Mexico [2]Institute of Engineering and Technology,Autonomous University of Ciudad Juarez,Ciudad Juarez,Chihuahua 32310,Mexico [3]Postgraduate Program in Computational Modeling in Science and Technology,Federal Fluminense University,Rıo de Janeiro 27255-125,Brazil [4]Faculty of Mathematics and Computer Science,University of Havana,La Habana 10400,Cuba [5]Department of Mathematics Applied to ICT,School of Informatics Systems Engineering,Technical University of Madrid,Madrid 28031,Spain

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第12期2147-2164,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Council of Humanities,Sciences,and Technologies of Mexico(Nos.CF-2023-G-792 and CF-2023-G-1458);the National Council for Scientific and Technological Development of Brazil(No.09/2023);the Research on Productivity of Brazil(No.307188/2023-0)。

摘　　要：A semi-analytical finite element method(SAFEM),based on the two-scale asymptotic homogenization method(AHM)and the finite element method(FEM),is implemented to obtain the effective properties of two-phase fiber-reinforced composites(FRCs).The fibers are periodically distributed and unidirectionally aligned in a homogeneous matrix.This framework addresses the static linear elastic micropolar problem through partial differential equations,subject to boundary conditions and perfect interface contact conditions.The mathematical formulation of the local problems and the effective coefficients are presented by the AHM.The local problems obtained from the AHM are solved by the FEM,which is denoted as the SAFEM.The numerical results are provided,and the accuracy of the solutions is analyzed,indicating that the formulas and results obtained with the SAFEM may serve as the reference points for validating the outcomes of experimental and numerical computations.

关 键 词：semi-analytical approach fiber-reinforced composite(FRC) effective property finite element method(FEM) asymptotic homogenization method(AHM) micropolar elasticity 

分 类 号：O241.82[理学—计算数学] O343[理学—数学]