Modeling of ultrasonic nonlinearities for dislocation evolution in plastically deformed materials: Simulation and experimental validation

Wujun Zhu; Mingxi Deng; Yanxun Xiang; Fu-Zhen Xuan; Changjun Liu; Yi-Ning Wang

doi:10.1016/j.ultras.2016.02.016

Modeling of ultrasonic nonlinearities for dislocation evolution in plastically deformed materials: Simulation and experimental validation

Ultrasonics. 2016 May:68:134-41. doi: 10.1016/j.ultras.2016.02.016. Epub 2016 Mar 2.

Authors

Wujun Zhu¹, Mingxi Deng², Yanxun Xiang³, Fu-Zhen Xuan¹, Changjun Liu¹, Yi-Ning Wang⁴

Affiliations

¹ Key Laboratory of Pressure Systems and Safety of MOE, School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China.
² Department of Physics, Logistics Engineering University, Chongqing 401331, China.
³ Key Laboratory of Pressure Systems and Safety of MOE, School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China. Electronic address: yxxiang@ecust.edu.cn.
⁴ Special Equipment Safety Supervision Inspection Institute of Jiangsu Province, Nanjing 211178, China.

PMID: 26950888
DOI: 10.1016/j.ultras.2016.02.016

Abstract

A nonlinear constitutive relationship was established to investigate nonlinear behaviors of ultrasonic wave propagation in plastically damaged media based on analyses of mixed dislocation evolution. Finite element simulations of longitudinal wave propagation in plastically deformed martensite stainless steel were performed based on the proposed nonlinear constitutive relationship, in which the contribution of mixed dislocation to acoustic nonlinearity was considered. The simulated results were validated by experimental measurements of plastically deformed 30Cr2Ni4MoV martensite stainless steels. Simulated and experimental results both reveal a monotonically increasing tendency of the normalized acoustic nonlinearity parameter as a function of plastic strain. Microscopic studies revealed that the changes of the acoustic nonlinearity are mainly attributed to dislocation evolutions, such as dislocation density, dislocation length, and the type and fraction of dislocations during plastic loading.

Keywords: Finite element modeling; Plastic deformation; Second-harmonic generation; Ultrasonic nonlinearity.