A mesomechanical analysis of short-fiberreinforced composites with account of the interphase layer

Abstract

A mechanical-mathematical model allowing one to calculate the effective elastic characteristics of a composite filled with short fibers and containing an interphase layer is developed. The model is based on Eshelby's principle and the technique of a "composite" inclusion. Relationships for the effective Young's modulus of a composite randomly reinforced with short fibers as a function of volume fraction of the filler and interphase layer, as well as of the parameter of anisometry of inclusions, are obtained. For testing the model developed, the elastic characteristics of a composite reinforced with infinite fibers are found. A good agreement with results obtained by using an alternative technique is reached.

Original language	English
Pages (from-to)	171-178
Number of pages	8
Journal	Mechanics of Composite Materials
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s11029-012-9263-9
Publication status	Published - May 2012

Keywords

Anisometry
Interphase layer
Mesomechanics
Polymer composites
Reinforcing fibers
Young's modulus

ASJC Scopus subject areas

Mechanics of Materials
Ceramics and Composites
Biomaterials
Polymers and Plastics
Condensed Matter Physics
Mathematics(all)

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10.1007/s11029-012-9263-9

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title = "A mesomechanical analysis of short-fiberreinforced composites with account of the interphase layer",

abstract = "A mechanical-mathematical model allowing one to calculate the effective elastic characteristics of a composite filled with short fibers and containing an interphase layer is developed. The model is based on Eshelby's principle and the technique of a {"}composite{"} inclusion. Relationships for the effective Young's modulus of a composite randomly reinforced with short fibers as a function of volume fraction of the filler and interphase layer, as well as of the parameter of anisometry of inclusions, are obtained. For testing the model developed, the elastic characteristics of a composite reinforced with infinite fibers are found. A good agreement with results obtained by using an alternative technique is reached.",

keywords = "Anisometry, Interphase layer, Mesomechanics, Polymer composites, Reinforcing fibers, Young's modulus",

author = "Shil'Ko, {S. V.} and Chernous, {D. A.} and Panin, {S. V.}",

year = "2012",

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doi = "10.1007/s11029-012-9263-9",

language = "English",

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AU - Chernous, D. A.

AU - Panin, S. V.

PY - 2012/5

Y1 - 2012/5

N2 - A mechanical-mathematical model allowing one to calculate the effective elastic characteristics of a composite filled with short fibers and containing an interphase layer is developed. The model is based on Eshelby's principle and the technique of a "composite" inclusion. Relationships for the effective Young's modulus of a composite randomly reinforced with short fibers as a function of volume fraction of the filler and interphase layer, as well as of the parameter of anisometry of inclusions, are obtained. For testing the model developed, the elastic characteristics of a composite reinforced with infinite fibers are found. A good agreement with results obtained by using an alternative technique is reached.

AB - A mechanical-mathematical model allowing one to calculate the effective elastic characteristics of a composite filled with short fibers and containing an interphase layer is developed. The model is based on Eshelby's principle and the technique of a "composite" inclusion. Relationships for the effective Young's modulus of a composite randomly reinforced with short fibers as a function of volume fraction of the filler and interphase layer, as well as of the parameter of anisometry of inclusions, are obtained. For testing the model developed, the elastic characteristics of a composite reinforced with infinite fibers are found. A good agreement with results obtained by using an alternative technique is reached.

KW - Anisometry

KW - Interphase layer

KW - Mesomechanics

KW - Polymer composites

KW - Reinforcing fibers

KW - Young's modulus

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