Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Analysis of the influence of the cross-sectional geometry of reinforcing fibers on the effective properties of transversely isotropic materials
Submission Author:
Matheus Madrid , RS , Brazil
Co-Authors:
Rogério Marczak, Matheus Madrid
Presenter: Matheus Madrid
doi://10.26678/ABCM.COBEM2017.COB17-2334
Abstract
This work presents a computational study about composite materials reinforced by aligned fibers, randomly distributed in the matrix. The focus of the analysis is the transverse plane to the direction of the fibers, characterized by an isotropic behavior, where the influence of the geometries of these reinforcing fibers on the effective properties of the plane is evaluated. The problem is addressed in the context of linear elasticity, with the Plane Stress State (PSS) hypothesis and homogenization procedures. Fibers with circular, square and triangular cross section are investigated for two fractions of reinforcement volume: 0.1 and 0.2. A computational algorithm is implemented to generate and analyze multiple models. A statistical analysis is performed to define a Representative Volume Element (RVE) of the material. The effective properties of the plan for each proposed geometry are also determined by statistical analysis on a series of numerical tests of the RVEs. By comparing the results it is shown that, for the reinforcement volume fractions studied, the properties of the matrix are dominant in the effective properties of the transverse plane to the fibers. It is concluded that the influence of the cross-sectional geometry of the reinforcing fibers on the effective elasticity modulus of the transverse plane to them is not significant. However, the effects of small Poisson coefficient variations may be relevant in certain applications. Also, it should be noted that the maximum stresses developed at the interface between the fibers and the matrix have significantly different values for the different geometries.
Keywords
composite materials reinforced by fibers, Representative Volume Element, Effective properties
