A smooth particle hydrodynamic model for two-dimensional numerical simulation of Ti–6Al–4V serrated chip deformation based on TANH constitutive law

Niu, Weilong; Mo, Rong; Sun, Huibin; Gnanasekaran, Balachander; Zhu, Yunmin; Liu, GR

doi:10.1177/0954406218803981

Cited by 7 publications

(8 citation statements)

References 38 publications

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“…The dynamic properties measured by the aforementioned instruments are typically used for the calibration of strain-rate-dependent constitutive models, 23–27 which are indispensable for the modelling and simulation of high-strain rate events. 28–37…”

Section: Introductionmentioning

confidence: 99%

One-dimensional analyses of striker impact on bar with different general impedance

Shin

Kim

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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The particle velocity and stress in the striker and bar generated by the striker impact on a bar with different general impedance are formulated based on one-dimensional assumptions. Departure of the impact-generated stress wave towards the rear end of the striker and arrival of the release wave from the rear to the front of the striker constitute one impact cycle. In cases where Zs ≤ Zb ( Z is the general impedance, and subscripts ‘s’ and ‘b’ denote striker and bar, respectively), only one impact cycle takes place because the striker is stationary or separated from the impact surface after the first impact cycle. As a result, only a single (primary) pulse is observed in the bar and striker. In the case where Zs > Zb, however, multiple impact cycles take place because the striker is compressing the bar continually after the first cycle. As a result, a series of step-wise residual pulses follow the primary pulse in the bar and striker. The magnitudes of the stress and particle velocity in the bar and striker calculated using the formulated equations are quantitatively consistent with the results of the numerical simulations, verifying the formulated one-dimensional equations. The equations formulated in this study may be useful for better understanding the various wave interaction phenomena that take place in a pseudo-one-dimensional impact system and for modifying/designing an impact system.

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Section: Introductionmentioning

confidence: 99%

One-dimensional analyses of striker impact on bar with different general impedance

Shin

Kim

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…These measured curves are generally used to calibrate a strain rate-dependent constitutive model, 17–24 which is indispensable for computer simulations of the deformation behaviour of solids and structures at high strain rates. 25–32 The stress–strain and strain rate–strain curves of specimens subjected to SHB testing are usually obtained via one-wave analysis according to the one-dimensional (1D) theory of SHB 2–9 (equations (1) to (3)) Here, s , e· , and e are the nominal stress, nominal strain rate, and nominal strain of the specimen, respectively; A and L are the initial cross-sectional area and initial length of the specimen, respectively; ɛT and ɛR are the measured strain of the transmitted pulse and reflected pulse, respectively; and t represents time. Cb and Ab are the velocity of sound and the cross-sectional area of the bar, respectively.…”

Section: Introductionmentioning

confidence: 99%

Design guidelines for the striker and transfer flange of a split Hopkinson tension bar and the origin of spurious waves

Shin

Lee

Kim

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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Characteristics of the stress pulse generated by impact of a hollow striker on the flange of a split Hopkinson tension bar are investigated via an explicit finite element analysis. Design guidelines are extracted for the hollow striker and flange from the viewpoint of eliminating spurious waves located between the incident and reflected pulses. According to design guidelines, it is desirable to have a striker cross-sectional area the same as that of the flange. It is also desirable to make the cross-sectional area of the striker (flange) the same as that of the bar. As for the flange length, it is recommended to be comparable to the diameter of the bar. The magnitude and duration of the primary stress pulse are consistent with the results of a one-dimensional analysis even when spurious waves are present; meanwhile, overly long spurious waves should be avoided to eliminate their superposition with the reflected pulse. Spurious waves appear when general impedance of the striker is higher than the bar. The origin of spurious waves is a series of step-wise residual pulses generated by multiple cycles of striker impact that make the striker keep compressing the flange after the first cycle of impact. Step-wise residual pulses appear in two forms (continuous waves and discrete waves) in spurious waves due to the secondary impacts during the entrance process of step-wise residual pulses to the flange. The consequences of spurious waves in the use of split Hopkinson tension bars are discussed.

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“…Considering the Johnson–Cook damage model cannot account the strain softening and the dynamic recrystallization occur in the cutting of Ti6Al4V, Niu et al 80 introduced the TANH model and an improved smooth particle hydrodynamics method. Furthermore, an improved finite element modelling of Ti6Al4V to predict cutting forces and serrated chip was proposed.…”

Section: Application Of the Finite Element Simulation In Metal Cuttingmentioning

confidence: 99%

The advance of research on constitutive model used in finite element simulation of metal cutting

Sun

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Finite element simulation has become one of the research methods of metal cutting, and the constitutive model plays a decisive role in the modelling. Metal cutting has the characteristics of “three high”, namely large strain, high strain rate, and high temperature compared with other deformation process. An accurate constitutive model that can be used in the finite element simulation of metal cutting is difficult to obtain because the limitation of mechanical experiment. Therefore, the research of constitutive models used in the finite element simulation of metal cutting is summarized in this paper. Several typical constitutive models and their corrections are introduced firstly. Secondly, the main methods to obtain the constitutive parameters are introduced, and the problems of the methods are pointed out. Thirdly, some finite element simulations of serrated chip based on the constitutive models which modified by thermal softening, etc. are given, and the works on the research of the influence of model parameters are summarized. Fourthly, the constitutive parameters of several common materials are collected. The differences of them are shown and the reasons are analyzed. Finally, the problems in current research are analyzed and the directions of future development are pointed out. It can encourage the development of finite element simulation of metal cutting, especially for the simulation of serrated chip produced in high-speed cutting.

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A smooth particle hydrodynamic model for two-dimensional numerical simulation of Ti–6Al–4V serrated chip deformation based on TANH constitutive law

Cited by 7 publications

References 38 publications

One-dimensional analyses of striker impact on bar with different general impedance

One-dimensional analyses of striker impact on bar with different general impedance

Design guidelines for the striker and transfer flange of a split Hopkinson tension bar and the origin of spurious waves

The advance of research on constitutive model used in finite element simulation of metal cutting

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