Numerical and experimental study of the nonlinear interaction between a shear wave and a frictional interface

Abstract

The nonlinear interaction of shear waves with a frictional interface are presented and modeled using simple Coulomb friction. Analytical and finite difference implementations are proposed with both in agreement and showing a unique trend in terms of the generated nonlinearity. A dimensionless parameter ξ is proposed to uniquely quantify the nonlinearity produced. The trends produced in the numerical study are then validated with good agreement experimentally. This is carried out loading an interface between two steel blocks and exciting this interface with different amplitude normal incidence shear waves. The experimental results are in good agreement with the numerical results, suggesting the simple friction model does a reasonable job of capturing the fundamental physics. The resulting approach offers a potential way to characterize a contacting interface; however, the difficulty in activating that interface may ultimately limit its applicability.

Analytical extension of Finite Element solution for computing the nonlinear far field of ultrasonic waves scattered by a closed crack

“…One can see that under normal incidence, the third harmonic is preferentially generated for the tangential displacements as already demonstrated in [25,26]. For α = 25 wave.…”

“…6 shows the directivity patterns of the tangential displacement u S θ of the scattered shear wave, for the fundamental and the third harmonic only. The directivity pattern of the second harmonic is not relevant since the generation of second harmonic is negligible in the case of a shear wave interacting with a contact interface under normal incidence, as demonstrated in [25,26] and later on in Fig. 8(e).…”

Numerical and Experimental Analysis of Nonlinear Vibrational Response due to Pressure-Dependent Interface Stiffness

“…The nonlinear response of an experimental test bench (Figure 1) to an impulsive force is then modelled in a one-dimensional framework, including two rough contact interfaces with nonlinear contact stiffness. The tested contact stiffness laws are first identified over a large contact pressure range, using both the experimental tests and results from the literature [15,18,28]. However, there is a lack, both experimentally and from the literature, of assessments of the stiffness trend within the lower pressure range (less than 0.14 MPa).…”

Characterization of Contact‐Type Defects in Mortar Using a Nonlinear Ultrasonic Method

“…us, it is difficult to distinguish the material nonlinearity from the obtained nonlinearity in experiment. In general, the numerical method can be considered as an effective method for the nonlinear ultrasonic study [35][36][37][38][39]. By finite element simulations, the motion of interface obeys the contact laws, and the nonlinear effects of ultrasonic waves can be obtained.…”