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

•A nonlinear constitutive relationship was established based on analyses of mixed dislocation evolution.•Finite element model was developed to study nonlinear ultrasonic propagation.•Ultrasonic nonlinearity was used to study plastic damages in martensite stainless steel.•It monotonically increases w...

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Bibliographic Details
Published in:Ultrasonics 2016-05, Vol.68, p.134-141
Main Authors: Zhu, Wujun, Deng, Mingxi, Xiang, Yanxun, Xuan, Fu-Zhen, Liu, Changjun, Wang, Yi-Ning
Format: Article
Language:English
Subjects:
Computer simulation
Constitutive relationships
Deformation
Dislocation density
Dislocations
Evolution
Finite element modeling
Nickel chromium molybdenum steels
Nonlinearity
Plastic deformation
Second-harmonic generation
Ultrasonic nonlinearity
Wave propagation
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Summary:•A nonlinear constitutive relationship was established based on analyses of mixed dislocation evolution.•Finite element model was developed to study nonlinear ultrasonic propagation.•Ultrasonic nonlinearity was used to study plastic damages in martensite stainless steel.•It monotonically increases with plastic strain loading due to dislocation evolution.•Results from simulations and experiments show a good consistency. 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.
ISSN:0041-624X
1874-9968
DOI:10.1016/j.ultras.2016.02.016