Analytical modelling of the effect of morphological fluctuations on the transverse elastic behaviour of unidirectional fibre reinforced composites

Analytical modelling of the effect of morphological fluctuations on the transverse elastic behaviour of unidirectional fibre reinforced composites

This paper proposes to take into account the influence of some morphological fluctuations – often observed in unidirectional composite materials – on the modelling of the elastic behaviour of such materials. This work relies on a Generalized Self-Consistent Scheme coupled with a Morphologically Repr...

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Published in:International journal of solids and structures Vol. 206; pp. 436 - 455
Main Authors: Blondel, J., Joannès, S., Hervé-Luanco, E.
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 01-12-2020
Elsevier BV
Elsevier
Subjects:
Composite materials
Elasticity
Engineering Sciences
Exact solutions
Fiber composites
Fibre reinforced composites
Fluctuations of morphology
Generalized Self-Consistent Scheme
Homogenization
Mathematical analysis
Mathematical models
Mechanics
Micromechanical models
Modelling
Morphologically Representative Patterns
Morphology
Pattern analysis
Unidirectional composites
Generalized Self-Consistent Scheme
Homogenization
Micromechanical models
Fibre reinforced composites
Fluctuations of morphology
Morphologically Representative Patterns
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Abstract This paper proposes to take into account the influence of some morphological fluctuations – often observed in unidirectional composite materials – on the modelling of the elastic behaviour of such materials. This work relies on a Generalized Self-Consistent Scheme coupled with a Morphologically Representative Pattern based approach. An analytical model is proposed to deal with “non-percolated” or trapped matrix regions. Closed-form analytical expressions are provided to investigate different kinds of morphological fluctuation effects on the effective transverse elastic behaviour. Finally some examples are given to illustrate the effectiveness of this approach.
AbstractList This paper proposes to take into account the influence of some morphological fluctuations – often observed in unidirectional composite materials – on the modelling of the elastic behaviour of such materials. This work relies on a Generalized Self-Consistent Scheme coupled with a Morphologically Representative Pattern based approach. An analytical model is proposed to deal with “non-percolated” or trapped matrix regions. Closed-form analytical expressions are provided to investigate different kinds of morphological fluctuation effects on the effective transverse elastic behaviour. Finally some examples are given to illustrate the effectiveness of this approach.
Author Blondel, J.
Hervé-Luanco, E.
Joannès, S.
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  email: eveline.herve@uvsq.fr
  organization: MINES ParisTech, PSL University, Centre des Matériaux (CMAT), CNRS UMR 7633, BP 87 91003 Evry Cedex, France
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10.1016/j.jmps.2013.10.004
10.1016/j.ijsolstr.2007.06.008
10.1121/1.1911962
10.1016/0022-5096(79)90032-2
10.1016/j.compositesb.2017.05.004
10.1016/j.ijsolstr.2020.03.013
10.1016/0022-5096(63)90036-X
10.1016/j.ijsolstr.2016.06.026
10.1016/j.euromechsol.2018.01.007
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10.1016/j.euromechsol.2007.01.004
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10.1016/0020-7225(95)00008-L
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Keywords Generalized Self-Consistent Scheme
Homogenization
Micromechanical models
Fibre reinforced composites
Fluctuations of morphology
Morphologically Representative Patterns
Language English
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Snippet This paper proposes to take into account the influence of some morphological fluctuations – often observed in unidirectional composite materials – on the...
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SubjectTerms Composite materials
Elasticity
Engineering Sciences
Exact solutions
Fiber composites
Fibre reinforced composites
Fluctuations of morphology
Generalized Self-Consistent Scheme
Homogenization
Mathematical analysis
Mathematical models
Mechanics
Micromechanical models
Modelling
Morphologically Representative Patterns
Morphology
Pattern analysis
Unidirectional composites
Title Analytical modelling of the effect of morphological fluctuations on the transverse elastic behaviour of unidirectional fibre reinforced composites
URI https://dx.doi.org/10.1016/j.ijsolstr.2020.06.001
https://www.proquest.com/docview/2468690462
https://hal.science/hal-03109172
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