2D analytical method for the interface stress transfer in a graphene monolayer nanocomposite
Final Report Abstract
The 2D analytical stress-functions variational method was set up for the representative volume element of a graphene/SU-8/PET(or PMMA) nanocomposite under axial tensile force for the polymer layer. Under simplified assumptions, satisfaction of continuity conditions for shear and peel stresses between layers and the use of the variational principle for minimum of the strain energy of the structure, the forth order ordinary differential equation about unknown graphene axial strain with constant coefficients is derived. The type of the solution of this governing differential equation depends on the geometry of the structure considered and the roots of the respective algebraic characteristic equation can have real or conjugated complex roots. As a consequence, two graphene nanostructures (graphene/SU-8/PET and graphene/SU-8/PMMA) with real and complex conjugated roots are considered, respectively. All axial, peel and shear stresses in the layers are expressed and found through the solution for the graphene axial stress and its first and second derivatives. The validation of the model was performed, comparing the theoretical axial graphene strain curve to the experimental strain data obtained by Raman spectroscopy and to shear-lag results. The other important result is connected with first appearance of a possible interface delamination along the adhesive SU-8 layer. The illustration of the obtained results in figures gives a clear picture onthe behavior of the axial, peel and shear stresses in layers.
Publications
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“2D stress analysis for graphene/SU8/PMMA composite under axial load”, Applied Nanotechnology and Nanoscience International Conference ANNIC 2019, 18-20 November, 2019, Paris, France
T. Petrova, E. Kirilova, W. Becker, J. Ivanova
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„Mathematical modelling of stresses in graphene polymer nanocomposites under static extension load”, 14th IEEE Nanotechnology Materials and Devices Conference, 27-30 October, 2019, Stockholm, Sweden
E. Kirilova, T. Petrova, W. Becker, J. Ivanova
