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This paper presents analyses for computing and evaluating the behavior of the laminated composite plate at the contact area in single lap, mechanically fastened joints. The analyses involve three dimensional finite element models performed by ABAQUS 6.4-PR11 code to evaluate the stress distribution in contact surface, separation angle, the magnitude and location of maximum radial stress. Results are determined for quasi-isotropic model and attempts are made to validate the models with previous works. The variations of separation angles through the thickness are investigated and effects of friction and applied load level are discussed by using different friction coefficients at contact area. Non-symmetric separation about the bearing plane occurs and the separation angle is greater than 90° in some plies.

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A semi-analytical method is presented to develop the equivalent continuum model for a single-layered graphene sheet. This method integrates molecular dynamics method as an exact numerical solution with theory of shell as an analytical method. The force-depth results obtained from molecular dynamics (MD) simulation of nano-indentation of a single graphene sheet are compared with the formulation for large deflection of circular plates loaded at the centre. As a result, the effective Young’s modulus and mechanical thickness of the sheet wall are independently obtained. The validity of this new approach is verified by comparing finite element modeling of nano-indentation of a single graphene sheet with molecular dynamics results available in the literature. Presented results demonstrate that the proposed method could provide a valuable tool for studying the mechanical behavior of single-layered graphene sheets, as well as efficiency of continuum theory in nano-structured material.

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