Determination of the Flow Stress–Strain Curves of Aluminum Alloy and Tantalum Using the Compressive Load–Displacement Curves of a Hat-Type Specimen

Lee, Jaeha; Shin, Hyunho; Kim, Jong-Bong; Kim, Ju‐Young; Park, Sung Taek; Kim, Gwang-Lyeon; Oh, Kwan Young

doi:10.1115/1.4042138

Cited by 8 publications

(7 citation statements)

References 28 publications

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“…Conversely, SHB, which is also called the Kolsky bar [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], has been used extensively to measure dynamic material properties such as the stress-strain and strain rate-strain curves of versatile materials at strain rates of approximately 10 2 -10 4 s −1 . These curves, together with the accurately extracted quasi-static material properties [42][43][44], are generally used to calibrate a strain rate-dependent constitutive model [45,46], which is indispensable for the simulation of the dynamic deformation behavior of solids and structures [47][48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Sound Speed and Poisson’s Ratio Calibration of (Split) Hopkinson Bar via Iterative Dispersion Correction of Elastic Wave

Shin

2022

Journal of Applied Mechanics

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A process of calibrating a one-dimensional sound speed (c_o) and Poisson's ratio (v) of a (split) Hopkinson bar is presented. This process consists of Fourier synthesis and iterative dispersion correction (time-domain phase shift) of the elastic pulse generated by the striker impact on a circular bar. At each iteration, a set of co and v is assumed, and the sound speed vs. frequency (c vs. f) relationship under the assumed set is obtained using the Pochhammer–Chree equation solver developed herein for ground state excitation. Subsequently, each constituting wave of the elastic pulse was phase-shifted (dispersion-corrected) using the c–f relationship. The co and v values of the bar were determined in the iteration process when the dispersion-corrected overall pulse profiles were reasonably consistent with the measured profiles at two travel distances in the bar. The observed consistency of the predicted (dispersion-corrected) wave profiles with the measured profiles is a mutually self-consistent verification of (i) the calibrated values of co and v, and (ii) the combined theories of Fourier and Pochhammer–Chree. The contributions of the calibrated values of co and v to contemporary bar technology are discussed, together with the physical significance of the tail part of a traveling wave according to the combined theories. A preprocessing template (in Excel®) and calibration platform (in MATLAB ®) for the presented calibration process are available online in a public repository.

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Section: Introductionmentioning

confidence: 99%

Sound Speed and Poisson’s Ratio Calibration of (Split) Hopkinson Bar via Iterative Dispersion Correction of Elastic Wave

Shin

2022

Journal of Applied Mechanics

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“…To calibrate the constitutive models, the flow stress-strain curves need to be measured accurately not only in quasi-static tests at ambient temperatures [34][35][36] but also in a wide range of strain rates and temperatures. Examples of the calibration results can be found in the original papers of the considered models herein.…”

Section: Phenomenological Constitutive Modelmentioning

confidence: 99%

“…Using these parameters, the SKW model-predicting flow stresses were calculated herein for a wide range of strain rates and temperatures, and the results are presented in Figure 13. According to Equation (34), the strain rate dependence of the stress-strain curve is described by multiplying the reference curve (the curve at . ε = .…”

Section: Sung-kim-wagoner (Skw) Modelmentioning

confidence: 99%

Flow Stress Description Characteristics of Some Constitutive Models at Wide Strain Rates and Temperatures

Shin

Choi

et al. 2022

Technologies

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The commonly employed mathematical functions in constitutive models, such as the strain hardening/softening model, strain-rate hardening factor, and temperature-softening factor, are reviewed, and their prediction characteristics are illustrated. The results may assist one (i) to better understand the behavior of the constitutive model that employs a given mathematical function; (ii) to find the reason for deficiencies, if any, of an existing constitutive model; (iii) to avoid employing an inappropriate mathematical function in future constitutive models. This study subsequently illustrates the flow stress description characteristics of twelve constitutive models at wide strain rates (from 10−6 to 106 s−1) and temperatures (from absolute to melting temperatures) using the material parameters presented in the original studies. The phenomenological models considered herein include the Johnson–Cook, Shin–Kim, Lin–Wagoner, Sung–Kim–Wagoner, Khan–Huang–Liang, and Rusinek–Klepaczko models. The physically based models considered are the Zerilli–Armstrong, Voyiadjis–Abed, Testa et al., Steinberg et al., Preston–Tonks–Wallace, and Follansbee–Kocks models. The illustrations of the behavior of the foregoing constitutive models may be informative in (i) selecting an appropriate constitutive model; (ii) understanding and interpreting simulation results obtained using a given constitutive model; (iii) finding a reference material to develop future constitutive models.

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“…Constitutive relation [25][26][27] is a key content for establishing the relationship between loads and deformation degree and has been researched for a long period. Based on the theory of the elastoplastic body, the constitutive relation of the thick plate is set as a bilinear kinematic model with an elastic modulus of the thick plate being 0.8 GPa and yield strength being 60 MPa and no hardening effect [28].…”

Section: Finite Element Modelmentioning

confidence: 99%

Prediction of Exit Thickness and Its Compensation after Snake Rolling of Aluminum Alloy Thick Plate

Wang

Wei-dong

2022

Advances in Materials Science and Engineering

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Asymmetrical deformation zone of the snake rolling process results in complex metal flow and unknown edge of the deformation zone. In this study, three assumptions about the location of exit thickness appear and the exit thickness is calculated by those three assumptions. By comparing the exit thickness obtained by formulas and the finite element method, one formula with high accuracy is verified and the plastic deformation of the thick plate under several snake rolling conditions is obtained. The results show that through comparing the minimum thickness in different assumptions, the exit of the plastic deformation zone is located at the midpoint of the line between two work rolls’ axis and the exit thickness is approximately equal to the length of the line which includes that midpoint and locates between the two work rolls in the vertical direction. Then with the increasing offset distance, the exit thickness increases and that leads to less deformation inside the plate. For maintaining the exit thickness equal to the preset value, an exit thickness compensation model is established according to the geometry of the deformation zone and verified by the results of simulations.

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Determination of the Flow Stress–Strain Curves of Aluminum Alloy and Tantalum Using the Compressive Load–Displacement Curves of a Hat-Type Specimen

Cited by 8 publications

References 28 publications

Sound Speed and Poisson’s Ratio Calibration of (Split) Hopkinson Bar via Iterative Dispersion Correction of Elastic Wave

Sound Speed and Poisson’s Ratio Calibration of (Split) Hopkinson Bar via Iterative Dispersion Correction of Elastic Wave

Flow Stress Description Characteristics of Some Constitutive Models at Wide Strain Rates and Temperatures

Prediction of Exit Thickness and Its Compensation after Snake Rolling of Aluminum Alloy Thick Plate

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