Maximum yield strength under quasi-static and high-rate plastic deformation of metals

Mayer, Alexander E.; Petrov, Yu. V.; Gruzdkov, A. A.

doi:10.1134/s1063783414120051

Cited by 24 publications

(10 citation statements)

References 20 publications

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“…Поведение напряжений в зависимости от деформаций после начала текучести в условиях динамического воздействия обычно прогнозируются на основе ряда физических [1][2][3][4][5][6], эмпирических [7][8][9][10][11][12][13] и феноменологических моделей. Часть моделей может четко задавать физику процесса пластического деформирования [1][2][3][4][5], но чрезмерно большее количество содержащихся в них параметров создают проблемы их применения в инженерной практике. Эти проблемы связаны с существующими разногласиями между инженерами и разработчиками физических моделей в рассмотрении в качестве параметров моделей тех характеристик, которые можно измерить и зафиксировать в достаточно широком диапазоне условий деформирования.…”

Section: Introductionunclassified

Моделирование Временных Эффектов Необратимого Деформирования На Основе Релаксационной Модели Пластичности

Селютина¹,

Петров²

2019

Физика Твердого Тела

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The analysis of plastic deformation of metals and polymethylmethacrylate under dynamic loading is carried out using a relaxation model of plastic deformation. The invariance of the parameters of the relaxation model of plasticity to the strain history allows us to obtain any set of deformation curves from a united viewpoint, both monotonic, with varying yield strength, and non-monotonic, with emerging and varying yield drop, as it is observed in experiments. The increase of the yield strength of high-strength 2.3Ni-1.3Cr steel together with the hardening effect both under high-rate and slow deformation is also modeled on the basis of the relaxation model. Using DP600 steel and nanocrystalline nickel as an example it is shown that the relaxation model of plasticity allows one to predict a smooth transition to the plastic deformation stage at slow quasi-static effects of ~ 10–3 s – 1, and also the appearance of a yield drop effect at strain rates of 500–6000 s –1. It is also shown that the developed approach allows one to simulate similar effects under high-rate deformation of polymethylmethacrylate. Thus, it was demonstrated using specific materials as an example that it is possible to effectively predict the deformation dependencies of the materials studied in a wide range of strain rates of 10-4-104 s-1 based on the parameters of the relaxation model of irreversible deformations.

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Section: Introductionunclassified

Моделирование Временных Эффектов Необратимого Деформирования На Основе Релаксационной Модели Пластичности

Селютина¹,

Петров²

2019

Физика Твердого Тела

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“…It follows from (3) that, in the case of small characteristic times and strain rates, we have a constant value of the yield point, which can vary only due to the strain strengthening [19]. One can determined static yield strength σ 0 y by the Taylor and Hall-Petch lows [16,19]. On the other hand, at high strain rates or at large characteristic relaxation times, the second term in (3) becomes significant and the dependence of the yield point on the strain rate is rather complicated.…”

Section: Physical Based Interpretations For Relaxation Time Parametersmentioning

confidence: 99%

“…In [13], it was shown that, by substituting (3) into the Orovan relation (10) and by using the dislocation dynamic equation [16,18], we obtain the following expression for the characteristic stress relaxation time:…”

Section: Physical Based Interpretations For Relaxation Time Parametersmentioning

confidence: 99%

“…(The case β = 0 corresponds to the absence of strengthening.) In the case where the stress relaxation is caused by the simultaneous action of different mechanisms of plasticity, it is advisable to introduce into the model several characteristic relaxation times [16] or, in a more general case, to specify a function describing the contribution from processes with different characteristic times.…”

Section: Models For Description Of Plastic Flow Of Metalsmentioning

confidence: 99%

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Relaxation model of dynamic plastic deformation of materials

Borodin

Petrov

2014

Mech. Solids

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Abstract.Mechanical model for plastic relaxation of stresses in metals has been proposed. Our approach based on a characteristic plastic relaxation time, which is assumed as a material parameter. In a number of tasks values of its parameter become similarly high and it leads to dynamic effect appearing even at low strain rates deformation condition. The phenomenon of yield drop is one of these manifestations. We also discuss a physically based assumption (in the frames of dislocation theory) for analytical form of relaxation time. We find that there are two different characteristic relaxation time parameters, which is playing a main role for different stages of plastic deformation in low defect crystals.

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“…In the case where the stress relaxation is caused by the simultaneous action of different mechanisms of plasticity, it is advisable to introduce into the model several characteristic relaxation times [16] or, in a more general case, to specify a function describing the contribution from processes with different characteristic times.…”

Section: Models For Description Of Plastic Flow Of Metalsmentioning

confidence: 99%