تحلیل خمش نانو صفحه گرافن تک لایه در محیط الاستیک، براساس مدل های غیرموضعی محیط پیوسته

In this paper bending behavior of rectangular graphenenanoplate with orthotropic properties and resting on elastic foundation is investigated. the nanoplate equilibrium equations are derived in terms of the generalized displacements based on first-order shear deformation theory (fsdt) using the nonlocal differential constitutive relations of eringen and the small deflection assumption. then the normalized equilibrium equations based on displacement field are discretized and solved using two numerical methods of finite difference and differential quadrature. finally, the effect of small scale parameter, length to wide ratio, plate thickness, load value, elastic foundation properties and number of mesh points on the maximum deflection value and deflection ratio are investigated based on nonlocal kirchhoff and mindlin plate theories. results show that considering the nonlocal effect has high importance in nanoplates analysis; also using the nonlocal mindlin plate model in comparison with nonlocal kirchhoff plate model leads to more precision of results especially for moderately thick plates.