Century-long Taylor-Quinney interpretation of plasticity-induced heating reexamined

Zubelewicz, Aleksander

doi:10.1038/s41598-019-45533-0

Cited by 33 publications

(16 citation statements)

References 30 publications

(28 reference statements)

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“…It is worth stating that relaxation time (Equation (14)) matches earlier estimates made for OFHC copper [55,56]. In nanocrystalline copper, relaxation time is in the range of hundred picoseconds.…”

Section: Kinematics-based Construction Of Hall-petch Relationsupporting

confidence: 78%

Mechanisms-Based Transitional Viscoplasticity

Zubelewicz

2020

Crystals

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When metal is subjected to extreme strain rates, the conversation of energy to plastic power, the subsequent heat production and the growth of damages may lag behind the rate of loading. The imbalance alters deformation pathways and activates micro-dynamic excitations. The excitations immobilize dislocation, are responsible for the stress upturn and magnify plasticity-induced heating. The main conclusion of this study is that dynamic strengthening, plasticity-induced heating, grain size strengthening and the processes of microstructural relaxation are inseparable phenomena. Here, the phenomena are discussed in semi-independent sections, and then, are assembled into a unified constitutive model. The model is first tested under simple loading conditions and, later, is validated in a numerical analysis of the plate impact problem, where a copper flyer strikes a copper target with a velocity of 308 m/s. It should be stated that the simulations are performed with the use of the deformable discrete element method, which is designed for monitoring translations and rotations of deformable particles. relevant material information, such as sensitivities to strain rate, temperature, size effect, etc. In a typical scenario, the models adapt the strain rate-insensitive solving scheme, where radial return seems to be the favorite procedure. In consequence, plastic strain is merely a byproduct of the requirement that stress must adhere to the yield surface. An interesting technique suitable for generating random dislocation arrangements is proposed by Gurrutxanga-Lerma [23]. The main concern of the study is focused on how a given population of dislocation structures influences the dominant features of the stress field. The stochastic analysis provides justification for Taylor's equation and the Hall-Petch relation. The study, however, is not concerned with how the dislocation structures are formed in the first place. Another approach to crystal plasticity is proposed by Langer [24]. His thermodynamics dislocation theory (TDT) is based on the observation that dislocation experience complex chaotic motions and the motion is responsible for the field fluctuations. One should expect the frequency of the fluctuations to be many orders of magnitude lower in comparison with the frequency of thermal excitations. According to Langer, the non-deterministic nature of dislocation dynamics makes the behaviors suitable for statistical and thermodynamics treatment. Brown [25] offered an interesting idea that plastic flow is responsible for the formation of dislocation structures in the state of self-organized criticality. In this interpretation, the dislocation structures evolve until reaching the state of maximum structural adaptiveness such that every site of the structure has a statistically equal chance to act as a nucleation site of further deformation. At the initial stages of plastic deformation, flow is initiated at points of weakness. However, as the process proceeds, the initiation sites become inactive and are replaced by newly cre...

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Section: Kinematics-based Construction Of Hall-petch Relationsupporting

confidence: 78%

Mechanisms-Based Transitional Viscoplasticity

Zubelewicz

2020

Crystals

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“…The effect of a strain rate in the range between 0.004 s −1 and 0.016 s −1 on the value of the T-Q coefficient is not clearly revealed. As reported by Zubelewicz [ 39 ] for strain rates not exceeding 100 s −1 , the Taylor–Quinney coefficient is mildly sensitive to the rate of loading and the sensitivity becomes negligible in quasi-static conditions. Therefore the strain rate sensitivity is assumed to be an irrelevant factor at strain rates below 50 s −1 .…”

Section: Discussionsupporting

confidence: 53%

“…After necking, a large amount of heat is generated due to large plastic deformations [ 38 ]. However low strain rates soften the path-rerouting constraints thus only a small amount of energy is converted to heat [ 39 ]. With the beginning of the necking, the maximum temperatures and plastic strains gradually concentrate on the necking zone.…”

Section: Discussionmentioning

confidence: 99%

Coupled Thermomechanical Response Measurement of Deformation of Nickel-Based Superalloys Using Full-Field Digital Image Correlation and Infrared Thermography

et al. 2021

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The paper is devoted to highlighting the potential application of the quantitative imaging technique through results associated with work hardening, strain rate and heat generated during elastic and plastic deformation. The aim of the research presented in this article is to determine the relationship between deformation in the uniaxial tensile test of samples made of 1-mm-thick nickel-based superalloys and their change in temperature during deformation. The relationship between yield stress and the Taylor–Quinney coefficient and their change with the strain rate were determined. The research material was 1-mm-thick sheets of three grades of Inconel alloys: 625 HX and 718. The Aramis (GOM GmbH, a company of the ZEISS Group) measurement system and high-sensitivity infrared thermal imaging camera were used for the tests. The uniaxial tensile tests were carried out at three different strain rates. A clear tendency to increase the sample temperature with an increase in the strain rate was observed. This conclusion applies to all materials and directions of sample cutting investigated with respect to the sheet-rolling direction. An almost linear correlation was found between the percent strain and the value of the maximum surface temperature of the specimens. The method used is helpful in assessing the extent of homogeneity of the strain and the material effort during its deformation based on the measurement of the surface temperature.

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“…The dyads bold-italicNm=bold-italicnm⊗bold-italicnm are defined on unit vectors n m . Originally [20], the dyads were expressed in terms of the Cauchy stress σ or, alternatively, with the use of the elastic strain bold-italicεe. In isotropic material, the stress and strain are codirectional and, therefore, it makes no difference which one is used.…”

Section: Image Of Texture-distorted Reference Systemmentioning

confidence: 99%

“…In the next step, the dyads are used for the reconstruction of the well-known Huber-Mises flow tensor bold-italicM=3bold-italicS/J2, where the deviatoric part of the Cauchy stress S = σ − 1 tr σ /3 and the second invariant of the stress deviator J 2 = S : S /2 do not need further explanations. It is shown in [20] that the flow tensor is bold-italicM=α[false(N1−N3false)+μφ(13−bold-italicN2)]. …”

Section: Image Of Texture-distorted Reference Systemmentioning

confidence: 99%

Another perspective on elastic and plastic anisotropy of textured metals

Zubelewicz

2021

Proc. R. Soc. A.

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In textured metals, the elastic directionality reflects the crystallographic organization, while the plastic flow follows the preferential pathways of deformation beyond the elastic limit. In here, the elastic and plastic anisotropies are characterized by two observers. One of them is immersed into the material and, while there, is unaware of the texture-induced reorganizations, still, is in a position to detect elastic distortions. Another observer is located outside the material, monitors the elastic strain too and realizes that texture makes the elastic responses directional. The externally measured elastic strain will be called the texture strain. The key idea is to determine the transformation rules that correlate the elastic strains seen by the two observers. In what follows, the rules are derived by projecting the texture-distorted basis onto the basis of the external observations. It turns out that the rules reproduce directionality of elastic properties and include constraints that result from the limits imposed by the yield stress. The elastic anisotropy is linked to the strain that is free of the plasticity-induced constraints. By contrast, the constraints enable complete characterization of the plastic flow directionality. The concept is derived in the framework of tensor representations discussed in the electronic supplementary material.

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Century-long Taylor-Quinney interpretation of plasticity-induced heating reexamined

Cited by 33 publications

References 30 publications

Mechanisms-Based Transitional Viscoplasticity

Mechanisms-Based Transitional Viscoplasticity

Coupled Thermomechanical Response Measurement of Deformation of Nickel-Based Superalloys Using Full-Field Digital Image Correlation and Infrared Thermography

Another perspective on elastic and plastic anisotropy of textured metals

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