Finite Element Nonlocal Integral Elasticity Approach

In the current chapter, a finite element theory has been developed based on the nonlocal integral elasticity using Hamilton’s principle. Formulations have been derived using Euler-Bernoulli beam theory and classical plate theory in order to study the bending, buckling and vibration behavior of nanostructures. The current method is capable of modelling complex geometries and boundary conditions. Besides, effects of nonlocal parameter, geometrical parameters, boundary conditions and viscoelastic parameter on the mechanical behavior of nano-scaled beams and plates have been studied.