Effect of surface elasticity on scattering of elastic P-waves from a nanofiber including an inhomogeneous interphase

Scattering of elastic P-waves from a nanofiber in a matrix is studied analytically throughout this paper. An inhomogeneous interphase region is considered between the nanofiber and the matrix. Dividing the interphase into homogeneous sublayers, surface elasticity effects are studied in the layers adjacent to matrix and nanofiber. Wave function expansion method is used to solve the corresponding equations in all three phases including fiber, interphase, and matrix. Dynamic stress concentration factors around the nanofiber are calculated and utilizing a parametric study, effects of different parameters, such as nanoscale interface, interphase thickness, and interphase rigidity are investigated. The results indicate that considering the effects of surface elasticity in wave scattering problems from inhomogeneous interphases show a major impact on the results. The dimensionless equations presented in this paper provide the possibility of further numerical studies.