Transient dynamic elastic frictional contact: A general 2D boundary element formulation with examples of SH motion

Mendelsohn, Daniel; Doong, Jiamaw

doi:10.1016/0165-2125(89)90009-7

Cited by 19 publications

(8 citation statements)

References 56 publications

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“…The amplitude of the incident shear wave at the interface, effectively giving shear stress, is of prime importance when using the dimensionless parameter n defined in Eq. (11). This was measured by transmitting an input wave into one of the steel blocks.…”

Section: Experimental Investigationmentioning

confidence: 99%

“…7,9,10 Time domain studies have concentrated on numerical implementations, such as a boundary element modeling formulation of Shear Horizontal (SH) slip motion at an arbitrary interface. 11 Using a generalization of this method to include in-plane motion, it was shown in Refs. 12 and 13 that the amplitudes of the higher harmonics of the scattered far-fields can be useful in determining both the pre-stress and friction coefficient.…”

Section: Introductionmentioning

confidence: 99%

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

Blanloeuil

Croxford

Méziane

2014

The Journal of the Acoustical Society of America

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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.

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Section: Experimental Investigationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Blanloeuil

Croxford

Méziane

2014

The Journal of the Acoustical Society of America

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show abstract

“…There have also been several numerical modeling studies to investigate CAN. Mendelsohn and Doong (1989) and Hirose (1994) proposed using a boundary element method (BEM) to carry out dynamic contact analyses in two-dimensional (2D) out-of-plane and in-plane wave fields, respectively. A finite difference time domain (FDTD) technique has also been proposed to solve the 2D in-plane problem (Jinno, et al, 2014, Kimoto andIchikawa, 2015).…”

Section: Introductionmentioning

confidence: 99%

One dimensional EFIT modeling and experimental validation of dynamic interfacial bonding

Ibrahim

Nakahata

Yamawaki

et al. 2017

Mechanical Engineering Letters

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The contact and non-contact behaviors of material interfaces generate harmonics arising from interactions with large amplitude incident waves. In this phenomenon, which is called contact acoustic nonlinearity (CAN), intermittent impacts by an incident wave cause the interface contact phase to alternate between contact and separation. This paper proposes a method for numerical simulation of CAN using an elastodynamic finite integration technique (EFIT). The accuracy of the EFIT simulation was verified through comparison with an analytical solution. In one-dimensional CAN theory, a wave penetrating at an interface demonstrates a sawtooth waveform indicating that the interface is closing with a constant velocity. Simulation results revealed that the closing velocity is determined by the compressive stress of the material, and experimental measurements on a polymethylmethacrylate specimen revealed the harmonics caused by the sawtooth wave.

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“…Another approach consists in introducing interface stiffness to account for quantitative transmission and reflection wave and harmonic generation [6,8,9]. Time domain implementations such as the Boundary Element Method (BEM) have been performed for the study of SH slip motion on an arbitrary interface [10]. Using a generalization of this method to include in-plane motion, the interaction between a P wave or a SV wave with a crack under normal incidence was studied for a pre-open crack or a pre-stressed crack [11,12].…”

Section: Introductionmentioning

confidence: 99%

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

Blanloeuil

Méziane

Norris³

et al. 2016

Wave Motion

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Transient dynamic elastic frictional contact: A general 2D boundary element formulation with examples of SH motion

Cited by 19 publications

References 56 publications

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

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

One dimensional EFIT modeling and experimental validation of dynamic interfacial bonding

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

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