Non-linear creep modeling of short-fiber composites using Hermite polynomials, hyperbolic trigonometric functions and power series

A novel analytical model is presented for analyzing the steady-state creep in short-fiber composites under axial load utilizing the previous shear-lag theory, the imaginary fiber technique and also new approaches of Hermite polynomials, hyperbolic trigonometric functions and power series. The steady-state creep behavior of the matrix is described by an exponential law, while the fibers behave elastically. In this model, in spite of the previous researches, some unknowns such as shear stress, displacement rates, and creep strain rates are correctly determined in all regions of the unit cell without using any further assumptions. In comparison with previous analytical approaches, the results of the present work are closer to the FEM simulations. This strong method can be used in various problems in applied physics and mechanics such as elastic and plastic analysis of nano-composites.