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Archive of Applied Mechanics

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22-05-2022 | Original

Micromechanics prediction of the effective elastic property of composites reinforced with cylindrically orthotropic nano fiber under antiplane shear

Authors: Junhua Xiao, Yaoling Xu

Published in: Archive of Applied Mechanics | Issue 8/2022

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Abstract

A theoretical study on the effective property of the composites reinforced with cylindrically orthotropic nano fiber is reported based on a generalized self-consistent model with surface effect under antiplane shear. An exact solution of the problem is presented by introducing an appropriate coordinate transformation to convert the governing differential equation into a harmonic one. The closed-form solution of the effective modulus is obtained by using the average-field theory in a representative volume element. Several existing and new results can be regarded as the special cases of the present solution. A discussion is made about the size dependent effect on the effective modulus under different cylindrical orthotropy when the size of the fiber is at nanoscale. The influences of the cylindrical orthotropy of the fiber on the effective modulus were examined in detail.

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Title: Micromechanics prediction of the effective elastic property of composites reinforced with cylindrically orthotropic nano fiber under antiplane shear
Authors: Junhua Xiao
Yaoling Xu
Publication date: 22-05-2022
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 8/2022
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-022-02175-5

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