title: Pulse propagation in an elastic medium with quadratic nonlinearity (L).
abstract: This letter examines the propagation of an acoustic pulse in an elastic medium with weak quadratic nonlinearity. Both a displacement pulse and a stress pulse of arbitrary shapes are used to generate the wave motion in the solid. By obtaining the explicit solutions for arbitrary pulse shapes, it is shown that for a sinusoidal tone-burst, in addition to a second order harmonic field, a radiation induced static strain field is also generated. These results help clarify some confusion in the recent literature regarding the shape of the propagating static displacement pulse.
authors.affiliation: Department of Civil and Environmental Engineering, Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208, USA. j-qu@northwestern.edu
authors.forename: Jianmin
authors.initials: J
authors.lastname: Qu
authors.forename: Peter B
authors.initials: PB
authors.lastname: Nagy
authors.forename: Laurence J
authors.initials: LJ
authors.lastname: Jacobs