LAUSR

This paper develops an analytical model to calculate the acoustic nonlinearity parameter induced by dislocation pileups in isotropic elastic solids. It shows that the pileup-induced acoustic nonlinearity parameter depends on the pileup length, number of dislocations in a pileup, Burgers vector, and dislocation density. Additionally, it is found that the formula for pileup-induced acoustic nonlinearity parameter has a similar mathematical form to those for other types of defects such as dislocation strings, dislocation dipoles, and extended dislocations. They are all scaled with a dimensionless parameter ( L c h / b ) n, where L c h is a characteristic length of the defect, b is the magnitude of the Burgers vector, and n is either 3 or 4.This paper develops an analytical model to calculate the acoustic nonlinearity parameter induced by dislocation pileups in isotropic elastic solids. It shows that the pileup-induced acoustic nonlinearity parameter depends on the pileup length, number of dislocations in a pileup, Burgers vector, and dislocation density. Additionally, it is found that the formula for pileup-induced acoustic nonlinearity parameter has a similar mathematical form to those for other types of defects such as dislocation strings, dislocation dipoles, and extended dislocations. They are all scaled with a dimensionless parameter ( L c h / b ) n, where L c h is a characteristic length of the defect, b is the magnitude of the Burgers vector, and n is either 3 or 4.