Numerical Verification of the Schroeder–Webster Surface Types and Friction Compensation Models for a Metallic Specimen in Axisymmetric Compression Test

Shin, Hyunho; Lee, Jaeha; Kim, Jong-Bong; Seo, Seung-Jae; Lee, Jaekun; Lee, Jong-Oek; Yoon, Tae-Sik; Jeong, Chanseok

doi:10.1115/1.4044131

Cited by 6 publications

(3 citation statements)

References 36 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%

“…In Equation (35), the Voce and Ludwik hardening laws are multiplied by two linear temperature factors (Equations ( 36) and ( 37)) differently. Thus, the investigation of the appearance of σ vs. T/T m curves is of interest.…”

Section: ε/mentioning

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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Enhancing Axisymmetric Compression Testing: Modeling and Addressing Flow Curve Errors

Khoddam

2024

Adv Eng Mater

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Axisymmetric compression testing (ACT) stands as a pivotal experimental technique, widely embraced for its capacity to identify the plastic flow attributes inherent to diverse materials. However, the accuracy of the flow curve obtained from ACT can be significantly affected by errors introduced by the inevitable barrelling and foldover, which can lead to erroneous interpretation of deformation phenomena. The existing analytical and numerical solutions for estimating effective stress in ACT are first reviewed. A new closed‐form solution that is insensitive to friction and foldover is then presented. The solution is based on a multilayer model of the sample geometry, which considers the instantaneous barrelling of the sample. The multilayer solution is validated against a reference numerical solution and shows good agreement, even after a significant foldover. The results indicate that the proposed framework can significantly improve the accuracy of material flow characterization. This can be of significant value in the fields of material processing, manufacturing, and materials science.

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Numerical Verification of the Schroeder–Webster Surface Types and Friction Compensation Models for a Metallic Specimen in Axisymmetric Compression Test

Cited by 6 publications

References 36 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

Enhancing Axisymmetric Compression Testing: Modeling and Addressing Flow Curve Errors

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