Abstract:

This paper studies the static strain properties of a gradient nanofiber in tension. A new constitutive model based on gradient elasticity is proposed. The influence of high-order gradient of strain on static analysis of nanofibers is discussed. After neglecting the higher infinitesimal strain along nanofiber’s longitudinal direction, the governing equation of equilibrium is obtained with combination of the basic equation and a proposed variational principle. By using both variational and weighted residuals methods, all classical and nonclassical boundary conditions are determined. Some influences of high-order gradient of stain on size and boundary effects are identified and assessed by analytical expressions. 

Key words: nanofibers; high-order gradient; variational method; strain analysis