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Estimation of elastic moduli of particulate-reinforced composites using finite element and modified Halpin–Tsai models

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Abstract

In this paper, the effect of particle geometry on Young’s modulus for particulate-reinforced composites was estimated using finite elements analysis (FEA) and modified Halpin–Tsai (HT) equations, including not only the effect of the aspect ratio but also the particle shape. This modified HT model includes a new parameter (a) which depends on the angle of the particle corners. FEA was used as a starting point to find the composites behavior depending on the reinforcement features, results that were compared to experimental values. Young’s moduli and stresses distribution were estimated using an AlA356/SiC(p) composite as starting material . Selected particle geometries for modeling were cylinders, truncated cylinders, double cones, and double-truncated cones; while aspect ratios were modified from 0.6 to 1.8. There was an excellent agreement between experimental results, FEA, and modified Halpin–Tsai estimations, showing that the predicting ability of the Halpin–Tsai model could be improved by introducing different shape parameters.

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Acknowledgments

The authors would like to acknowledge the financial support from SENER–CONACYT 151496 and UNAM PAPIIT TA100114 for funding the project.

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Authors and Affiliations

  1. Unidad Morelia, Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Campus Morelia UNAM, Antigua Carretera a Pátzcuaro No. 8701, Col. Ex-Hacienda de San José de la Huerta, C.P. 58190, Morelia, Michoacán, Mexico

    I. Alfonso

  2. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Circuito Exterior SN. Ciudad Universitaria, Del. Coyoacán, C.P. 04510, Mexico, DF, Mexico

    I. A. Figueroa

  3. Facultad de Ingeniería, Universidad Autónoma del Carmen, Campus III. Avenida Central S/N. Esq. con Fracc. Mundo Maya, Ciudad del, C.P. 24115, Carmen, Campeche, Mexico

    V. Rodriguez-Iglesias & C. Patiño-Carachure

  4. Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria, C.P. 58000, Morelia, Michoacán, Mexico

    A. Medina-Flores & L. Bejar

  5. Department of Mechanical Engineering, Advanced Center for Electrical and Electronic Engineering (Basal Project FB0008), Universidad Técnica Federico Santa María, Av. España 1680, Casilla 110-V, Valparaiso, Chile

    L. Pérez

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  1. I. Alfonso
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  2. I. A. Figueroa
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  3. V. Rodriguez-Iglesias
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  4. C. Patiño-Carachure
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  5. A. Medina-Flores
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  6. L. Bejar
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  7. L. Pérez
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Correspondence to I. Alfonso.

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Technical editor: Eduardo Alberto Fancello.

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Alfonso, I., Figueroa, I.A., Rodriguez-Iglesias, V. et al. Estimation of elastic moduli of particulate-reinforced composites using finite element and modified Halpin–Tsai models. J Braz. Soc. Mech. Sci. Eng. 38, 1317–1324 (2016). https://doi.org/10.1007/s40430-015-0429-y

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  • DOI: https://doi.org/10.1007/s40430-015-0429-y

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