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Numerical and Analytical Approaches for Calculating the Effective Thermo-Mechanical Properties of Three-Phase Composites

2007; Taylor & Francis; Volume: 30; Issue: 8 Linguagem: Inglês

10.1080/01495730701415665

1521-074X

Harald Berger, S. Kurukuri, Sreedhar Kari, Ulrich Gabbert, Reinaldo Rodríguez‐Ramos, Julián Bravo‐Castillero, Raúl Guinovart-Dı́az,

Numerical methods in engineering

Abstract The aim of this article is to envisage the effective thermo-mechanical properties of three phase composites made up of coated unidirectional cylindrical fibers using homogenization techniques. The main focus is on square arrangements of cylindrical fibers in composite. The numerical approach is based on the micro-mechanical unit cell modeling technique using finite element method (FEM) with appropriate boundary conditions and it allows the extension to composites with arbitrary geometrical inclusion configurations, providing a powerful tool for fast calculation of their effective properties. The results obtained from the numerical technique are compared with those obtained by means of the analytical asymptotic homogenization method (AHM) for different fiber volume fractions. In order to analyze the interphase effect, the effective properties are compared with the results obtained from some theoretical approaches reported in the literature. Keywords: Effective thermo-mechanical propertiesFEMHomogenizationInterphaseThree-phase composite This work has been supported by DFG Graduiertenkolleg 828 "Micro-Macro Interactions in Structured Media and Particle Systems" at the University of Magdeburg. Thanks also to the project PNCB IBMFQ 09-2004 and FENOMEC, PAPIIT, DGAPA, UNAM-Mexico, under grant IN101705. These supports are greatly acknowledged.