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

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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 homo-geneous matrix.This framework addresses the static linear elastic micropolar problem through partial differential equations,subject to boundary conditions and perfect inter-face 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.

semi-analytical approachfiber-reinforced composite(FRC)effective prop-ertyfinite element method(FEM)asymptotic homogenization method(AHM)microp-olar elasticity

J.A.OTERO、Y.ESPINOS A-ALMEYDA、R.RODRÍGUEZ-RAMOS、J.MERODIO

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School of Engineering and Sciences,Monterrey Institute of Technology,Estado de México 52926,Mexico

Institute of Engineering and Technology,Autonomous University of Ciudad Juárez,Ciudad Juárez,Chihuahua 32310,Mexico

Postgraduate Program in Computational Modeling in Science and Technology,Federal Fluminense University,Río de Janeiro 27255-125,Brazil

Faculty of Mathematics and Computer Science,University of Havana,La Habana 10400,Cuba

Department of Mathematics Applied to ICT,School of Informatics Systems Engineering,Technical University of Madrid,Madrid 28031,Spain

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2024

10.1007/s10483-024-3195-6

应用数学和力学(英文版)
上海大学

应用数学和力学(英文版)

影响因子：0.294
ISSN：0253-4827
年,卷(期)：2024.45(12)