In this letter, we describe the propagation of longitudinal waves in one-dimensional nonlinear elastic thin rods with material nonlinearity and geometric nonlinearity. Mathematical analysis is used to derive analytical dispersion relationship waves; subsequently, numerical Fourier spectrum method solve wave equation directly results are verify correctness derived relation.

The granular structures of energetic materials made hexogene particles embedded in a matrix are characterized using combination flotation, light-scattering measurements and micro-computed tomography images. complementary nature the three characterization techniques, when employed with this type material, allows one to derive accurate estimates for grain size distribution particle bulk density d...

This analytical study demonstrates shear elastic wave propagation in stratified waveguide with emphasis on localisation effects using the propagator matrix method. The consists of two-phase piecewise homogeneous periodically arranged finite number sub-layers along thickness. Analytical solutions are carried out for traction free waveguide. existence two modal types guided waves is established: ...