2D analytical method for the interface stress transfer in a graphene monolayer nanocomposite

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The research objectives can be summarized as follows:Reduction of 2D elastic problem for a representative volume element (RVE) of a graphene nanocomposite under simplifying assumptions and boundary and contact conditions. Derivation and solution of 4th order ordinary differential equation about longitudinal stress in the first layer and presentation of all stresses in RVE as functions of its first and second derivatives. Under proper criterion the interface delamination will be found and discussed in detail. Research and computational methodology The proposed research will be done in the frame of a 2D-dimensional linear reduced model for the graphene/polymer nanocomposite representative volume isotropic elastic element with a finite thickness. The structure is loaded by a tensile strain (stress). The choice of the 2D reduced method as an analytical tool is based on its well-known advantages for different problems in single lap joint. Although the method is already approved in this field, its further development and extension will go along with a use of graphene flake embedded in PMMA matrix, which can increase the strength and toughness of considered nanocomposite. Thus, varying the mechanical properties of the substrate as well as the mechanical loading and geometry of the structure, the possible interface delamination may be avoided. The hitherto accumulated experience by the applicants for these kinds of problems is a guarantee for overcoming the computational problems discussed above.