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

• 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
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2020.06.001

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.