Abstract

The nonlinear wave motion equation is solved by the perturbation method. The nonlinear ultrasonic coefficientsβandδare related to the fundamental and harmonic amplitudes. The nonlinear ultrasonic testing system is used to detect received signals during tensile testing and bending fatigue testing of GH4169 superalloy. The results show that the curves of nonlinear ultrasonic parameters as a function of tensile stress or fatigue life are approximately saddle. There are two stages in relationship curves of relative nonlinear coefficientsβ′ andδ′ versus stress and fatigue life. The relative nonlinear coefficientsβ′ andδ′ increase with tensile stress when tensile stress is lower than 65.8% of the yield strength, and they decrease with tensile stress when tensile stress is higher than 65.8% of the yield strength. The nonlinear coefficients have the extreme values at 53.3% of fatigue life. For the second order relative nonlinear coefficientβ′, there is good agreement between the experimental data and the comprehensive model. For the third order relative nonlinear coefficientδ′, however, the experiment data does not accord with the theoretical model.

Highlights

  • GH4169 superalloy has good integrate performance in 253∼ 400∘C

  • Many researches show that the linear ultrasonic parameters such as ultrasonic velocity and attenuation are effective in detection and evaluation in second stage and third stage of fatigue life [4,5,6]

  • The results show that the second order nonlinear coefficient β is related to the fatigue life or fatigue damage of materials

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Summary

Introduction

GH4169 superalloy has good integrate performance in 253∼ 400∘C. It is manufactured as complex components and widely used in aerospace, nuclear energy, petroleum industry, and extrusion dies. The detection of early fatigue damage is critical to evaluation of component life [1,2,3]. Many researches show that the linear ultrasonic parameters such as ultrasonic velocity and attenuation are effective in detection and evaluation in second stage and third stage of fatigue life [4,5,6]. The ultrasonic linear parameters are not sensitive to nonlinear behavior and early fatigue state in metal components [5,6,7,8]. It is a focus issue that the nonlinear ultrasonic parameters evaluate the early fatigue state or stress in metal components and predict the fatigue life. Few researchers studied the relationship of the third order nonlinear coefficient versus stress or fatigue life. The relationship curves of nonlinear parameters as the functions of tensile stress or fatigue life are obtained to detect or predict stress or fatigue life of GH4169 superalloy

Nonlinear Acoustic Properties
Experimental Materials and Methods
Results and Discussion
Conclusions
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