关键词: 微裂纹/
超声波/
等效弹性模量/
多阶段
English Abstract
Modelling of multi-stage nonlinear interaction of micro-crack and ultrasonic based on equivalent elastic modulus
Yang Bin,Wei Shuo,
Shi Kai-Yuan
1.University of Science and Technology Beijing, National Center for Materials Service Safety, Beijing 100083, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos.51575038,51471022) and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant Nos.TW201710,FRF-BD-16-004A).Received Date:03 January 2017
Accepted Date:05 May 2017
Published Online:05 July 2017
Abstract:A multi-stage model of nonlinear interaction between micro-crack and ultrasound based on equivalent elastic modulus is presented in this paper. In this model, the interface characteristics of micro-cracks at a micro-level and the relative motion at a macro-level are unified into an elastic modulus of the mesoscopic element. The equivalent elastic modulus is used to characterize the stress-strain of the damage region. Then piecewise function is used to describe the nonlinear interaction between ultrasound and micro-crack. Finally, the wave equation is solved by the finite element simulation. In this manner, the nonlinear interaction law between ultrasound and micro-crack is obtained, and the validity of the model is verified. The simulation results also show that compared with bilinear stiffness model and contact surface model, the multi-stage model can well reflect the distortion of the waveform in one period of ultrasonic wave passing through the micro-crack. In addition, the influences of the crack angle, the crack length and the input amplitude on the second harmonics generation and the third harmonics generation are analyzed. In the end, the comparison and analysis of the experimental test and simulation calculations based on the proposed multi-stage model show that the proposed multi-stage model and the experimental test can well reflect the second harmonic signal produced by the nonlinear interaction of micro-crack and ultrasound, and the second harmonic amplitudes of the experimental test are basically the same as the simulation calculations based on the proposed multi-stage model. Thus, the effectiveness of the proposed multi-stage model is verified. The model provides a new simulation method to quantitatively detect the micro-crack by ultrasonic nonlinear effect.
Keywords: micro-crack/
ultrasonic/
equivalent elastic modulus/
multi-stage
