An integrated Johnson–Cook and Zerilli–Armstrong model for material flow behavior of Ti–6Al–4V at high strain rate and elevated temperature

In the paper, a new phenomenological interpretation of some of the principal temporal effects of high-rate plastic deformation of metals from a united viewpoint is represented. A comparative analysis of some of the well-known dynamic plastic deformation models is given. Influence of strain rate on the stress-strain relation in a wide range of strain rates for different types of aluminum alloys and steels is described by the relaxation model of plasticity, by original and improved empirical Johnson-Cook models, and by the phenomenological Rusinek-Klepaczko model. It is shown that the structural-time model (“the relaxation model of plasticity”) is capable to effectively predict a wide spectrum of materials responses to fast and slow dynamic loading.

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“…KHL are empirical parameters, and integrated model [59] based on the JC model, the Zerilli-Armstrong model [29], written in Eq. 17:…”

Section: Modifications Of the Jc Modelmentioning

confidence: 99%

Comparative Analysis of Dynamic Plasticity Models

Selyutina

Petrov

2018

Reviews on Advanced Materials Science

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“…By comparing some phenomenological as well as physical models, Kotkunde et al 22 resolved that the predictions of the Johnson–Cook model are acceptably in good agreement with the flow behavior of Ti-6Al-4V at temperatures up to 400°C and under quasi-static strain rates. Che et al 23 emphasized the capability of the Johnson–Cook model at low temperatures and strain rates for the Ti-6Al-4V alloy. But at high temperature as well as strain rate conditions, they concluded that the coupled effects of strain, strain rate, and temperature must be taken into account.…”

Section: Introductionmentioning

confidence: 99%

A novel phenomenological constitutive model for Ti-6Al-4V at high temperature conditions and quasi-static strain rates

Ashrafian

Kordkheili

2021

Proceedings of the Institution of Mechanical Engineers, Part G:

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Phenomenological constitutive modeling of Ti-6Al-4V at temperatures between 923 and 1023 K under 0.0005–0.05 s−1 quasi-static rates is studied based on a phenomenological approach. For this purpose, the Johnson–Cook constitutive model is revisited. At low temperature conditions under moderate to high strain rates, the material’s stress–strain curves are the most similar to power-law function. Contrary to this, at high temperature conditions under low to moderate strain rates, the saturation-type function well describes the stress–strain curves. On the other hand, it is illustrated that the Johnson–Cook constitutive model is feeble to predict the material’s behavior correctly. Accordingly, in this study, a viscoplastic temperature-dependent constitutive model is developed. The strain rate hardening as well as thermal softening of the developed model is the same as the Johnson–Cook model. But a temperature-dependent strain hardening function is proposed in which both the saturation-type and power-law hardening behaviors of the material are implemented. In comparison with the Johnson–Cook model, the new constitutive model’s fidelity in capturing the titanium behavior is depicted. At last, by considering an Arrhenius-type phenomenological constitutive model, it is noted that the developed constitutive model has the best correctness in predicting the Ti-6Al-4V stress–strain behavior at high temperature conditions under quasi-static rates.

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“…1,2 Many researchers have developed a number of semi-empirical material models to investigate failure of materials at high strain rates. [3][4][5][6][7][8] All of these models rely on large strain rate data taken by a split Hopkinson pressure bar (SHPB) or blast. The high strain rate SHPB testing was firstly developed by Hopkinson and his son.…”

Section: Introductionmentioning

confidence: 99%

A computational investigation on the influence of the l/d ratio and strain rate on the deformation behavior of rolled and homogeneous armor steel in the split Hopkinson pressure bar test process

Saxena

Dwivedi

Srivastava

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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The present investigation deals with the finite-element analysis of the high strain rate deformation behavior of the quenched and tempered armor-grade rolled and homogeneous armor steel. The rolled and homogeneous armor steel is extensively used in civil and military structures such as battle tanks, armament combat vehicles, combat helicopter, etc. The dynamic deformation behavior of rolled and homogeneous armor steel, that is, resistance against ballistic circumstances relates to its mechanical behavior under high strain rate conditions. In the present research work, a finite-element analysis investigation (using Abaqus finite-element analysis code) has been carried out to evaluate the influence of specimen l/d ratios and high loading strain rates on the deformation behavior and stress–strain responses of the rolled and homogeneous armor steel. Further, an attempt has also been made to check the high strain rate and specimen l/d ratio influence on the strain amplitudes of incident, reflected, and transmitted pulses. The numerical investigation has been carried out with the rolled and homogeneous armor steel specimen with l/d ratios of 1, 0.8, and 0.6. In addition, three high impact strain rates of 2130, 2907, and 3105 s−1 are considered to evaluate the stress–strain responses. The results revealed that the l/d ratio and strain rate have a significant influence on the specimen stress–strain response and the strain amplitudes of incident, reflected, and transmitted pulses. The peak stress value is increased with the increase in the l/d ratio and strain rate. The developed finite-element analysis model has predicted the stress–strain responses with <3% percentage error. The obtained finite-element analysis results have been validated with the experimental investigation with an l/d ratio of 0.6 and a strain rate of 3105 s−1 for rolled and homogeneous armor steel.

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An integrated Johnson–Cook and Zerilli–Armstrong model for material flow behavior of Ti–6Al–4V at high strain rate and elevated temperature

Cited by 30 publications

References 28 publications

Comparative Analysis of Dynamic Plasticity Models

Comparative Analysis of Dynamic Plasticity Models

A novel phenomenological constitutive model for Ti-6Al-4V at high temperature conditions and quasi-static strain rates

A computational investigation on the influence of the l/d ratio and strain rate on the deformation behavior of rolled and homogeneous armor steel in the split Hopkinson pressure bar test process

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