Modelling and Validation of the Axial Strain Distribution in WS2 Flakes at WS2/Epoxy/PMMA Nanocomposite under Axial Load

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Tatyana Petrova
Elisaveta Kirilova
Rayka Vladova
Boyan Boyadjiev
Wilfried Becker
Petia Dineva-Vladikova

Abstract

In the present study, a two-dimensional stress-function method is applied to model the axial strain distribution in the tungsten disulfide (WS2) flake embedded in an epoxy/polymethyl methacrylate nanocomposite structure subjected to an axial tension load. The analytical model strain distribution along the flake is calculated and compared with experimental and shear-lag model literature data for monolayer flake at an external strain of 0.35% and 0.55%, as well as with results for few-layer flakes at an external strain of 0.55%. The comparison shows good agreement and confirms the applicability of our model method for describing strains in nanocomposite layered structures in the elastic region of applied loads. The presented method is not appropriate for few layers flake at an external strain of 0.55% because of the appearance of relaxation zone and the formation of wrinkles in the flake.

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Author Biographies

Tatyana Petrova, Bulgarian Academy of Sciences, Bulgaria

Institute of Chemical Engineering
Bulgarian Academy of Sciences
Akad. G. Bonchev Str., bl.103
1113 SOFIA
Bulgaria

Elisaveta Kirilova, Bulgarian Academy of Sciences, Bulgaria

Institute of Chemical Engineering
Bulgarian Academy of Sciences
Akad. G. Bonchev Str., bl.103
1113 SOFIA
Bulgaria

Rayka Vladova, Bulgarian Academy of Sciences, Bulgaria

Institute of Chemical Engineering
Bulgarian Academy of Sciences
Akad. G. Bonchev Str., bl.103
1113 SOFIA
Bulgaria

Boyan Boyadjiev, Bulgarian Academy of Sciences, Bulgaria

Institute of Chemical Engineering
Bulgarian Academy of Sciences
Akad. G. Bonchev Str., bl.103
1113 SOFIA
Bulgaria

Wilfried Becker, TU Darmstadt, Germany

Institute of Structural Mechanics
TU Darmstadt
Franziska-Braun-Str. 7, L5|01 347a
64287 DARMSTADT
Germany

Petia Dineva-Vladikova, Bulgarian Academy of Sciences, Bulgaria

Institute of Mechanics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl.4
1113 SOFIA
Bulgaria