The formation of modulated structures in Ni-V alloys

Moreen, H. A.; Taggart, R.; Polonis, D.H.

doi:10.1007/bf02642930

Cited by 28 publications

(5 citation statements)

References 16 publications

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“…To clearly describe the calculation process, the flow chart is shown in Figure 3, based on the data in Table 1-3 and Equation ( 29)- (31). The contributions of different strengthening mechanisms on flow stress are shown in Figure 4.…”

Section: Resultsmentioning

confidence: 99%

“…where r i and r j are the radii of atoms i and j and G i and G j are the shear moduli of pure metal elements i and j. According to the work of Moreen, [31] the interatomic spacing of solid solution can be regarded as average for all the atoms within a selected lattice region. Therefore, the atomic size mismatch and the elastic mismatch of a HEA can be estimated by averaging the atomic size mismatch and elastic mismatch between all elements, and the expressions are In particular, the face-centered cubic (FCC) to body-centered cubic (BCC) phase transformation would dominate the flow stress with plastic strain to exceed 6%, due to the strong phase interface strengthening and the formation of hard BCC phase.…”

Section: Solid-solution Strengtheningmentioning

confidence: 99%

“…Based on the work of Senkov et al, [ 30 ] the atomic size mismatch and elastic mismatch between atom i and atom j can be stated as

δ r_{i j} = 2 (r_{i} - r_{j}) / (r_{i} + r_{j})

δ G_{i j} = 2 (G_{i} - G_{j}) / (G_{i} + G_{j})

where

r_{i}

and

r_{j}

are the radii of atoms i and j and

G_{i}

and

G_{j}

are the shear moduli of pure metal elements i and j . According to the work of Moreen, [ 31 ] the interatomic spacing of solid solution can be regarded as average for all the atoms within a selected lattice region. Therefore, the atomic size mismatch and the elastic mismatch of a HEA can be estimated by averaging the atomic size mismatch and elastic mismatch between all elements, and the expressions are

δ r^{ave} = \sum_{i}^{n} \sum_{j}^{n} c_{i} c_{j} δ r_{i j} = (\begin{matrix} c_{1} & c_{2} & \dots & c_{n} \end{matrix}) (\begin{matrix} δ r_{11} & δ r_{12} & \dots & δ r_{1 n} \\ δ r_{21} & δ r_{22} & \dots & δ r_{2 n} \\ ⋮ & \dots & ⋱ & ⋮ \\ δ r_{n 1} & δ r_{n 2} & \dots & δ r_{n n} \end{matrix}

…”

Section: Theoretical Modelmentioning

confidence: 99%

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Modeling and Analysis of Yielding and Strain Hardening in Metastable High‐Entropy Alloys

Ren

Fang

et al. 2021

Physica Status Solidi (b)

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Metastable dual‐phase high‐entropy alloys (HEAs) have become an attractive paradigm as structural materials due to their outstanding mechanical properties compared with single‐phase HEAs, which originate from the multiple strengthening mechanisms. Herein, a theoretical model is established by integrating the effects of lattice distortion, dislocation, grain boundary, and phase transformation, to study the mechanical responses of metastable HEAs during uniaxial tensile deformation. The results show the contribution of various mechanisms to the strength, and strain hardening can be determined quantitatively. In particular, the face‐centered cubic (FCC) to body‐centered cubic (BCC) phase transformation would dominate the flow stress with plastic strain to exceed 6%, due to the strong phase interface strengthening and the formation of hard BCC phase. This work provides a microstructure‐based constitutive model for predicting the flow stress and strain hardening properties of metastable HEAs.

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Section: Resultsmentioning

confidence: 99%

Section: Solid-solution Strengtheningmentioning

confidence: 99%

“…Based on the work of Senkov et al, [ 30 ] the atomic size mismatch and elastic mismatch between atom i and atom j can be stated as

δ r_{i j} = 2 (r_{i} - r_{j}) / (r_{i} + r_{j})

δ G_{i j} = 2 (G_{i} - G_{j}) / (G_{i} + G_{j})

where

r_{i}

and

r_{j}

are the radii of atoms i and j and

G_{i}

and

G_{j}

δ r^{ave} = \sum_{i}^{n} \sum_{j}^{n} c_{i} c_{j} δ r_{i j} = (\begin{matrix} c_{1} & c_{2} & \dots & c_{n} \end{matrix}) (\begin{matrix} δ r_{11} & δ r_{12} & \dots & δ r_{1 n} \\ δ r_{21} & δ r_{22} & \dots & δ r_{2 n} \\ ⋮ & \dots & ⋱ & ⋮ \\ δ r_{n 1} & δ r_{n 2} & \dots & δ r_{n n} \end{matrix}

…”

Section: Theoretical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Modeling and Analysis of Yielding and Strain Hardening in Metastable High‐Entropy Alloys

Ren

Fang

et al. 2021

Physica Status Solidi (b)

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“…accounted for solute–solute interactions and embedded lattice distortion in an interatomic spacing matrix. [ 131 ] Varvenne et al. [ 59,60 ] also proposed a theory for random FCC HEAs, in which the interaction of dislocations with misfit volumes of solutes results in the strengthening effect.…”

Section: Mechanical Propertiesmentioning

confidence: 99%

Multifunctional High Entropy Alloys Enabled by Severe Lattice Distortion

Wang

Gao

et al. 2023

Advanced Materials

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Since 2004, the design of high entropy alloys (HEAs) has generated significant interest within the materials science community due to their exceptional structural and functional properties. By incorporating multiple principal elements into a common lattice, it is possible to create a single‐phase crystal with a highly distorted lattice. This unique feature enables HEAs to offer a promising combination of mechanical and physical properties that are not typically observed in conventional alloys. In this article, we provide an extensive overview of multifunctional HEAs that exhibit severe lattice distortion, covering the theoretical models that were developed to understand lattice distortion, the experimental and computational methods employed to characterize lattice distortion, and most importantly, the impact of severe lattice distortion on the mechanical, physical and electrochemical properties of HEAs. Through this review, we hope to stimulate further research into the study of distorted lattices in crystalline solids.This article is protected by copyright. All rights reserved

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“…And it is because it is based on the misfit generated in the solvent/reference atom lattice, which does not exist in RHEAs. Then, the Mooren method is used to modify the model, and the mismatch between the atomic spacing of HEAs and the elastic modulus is calculated [148]. This model was successfully used to predict the solution strengthening in several RHEAs [147].…”

Section: Solid Solution Strengthening Mechanismmentioning

confidence: 99%

Development and Property Tuning of Refractory High-Entropy Alloys: A Review

Hua

Xing

et al. 2022

Acta Metall. Sin. (Engl. Lett.)

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In the past decade, multi-principal element high-entropy alloys (referred to as high-entropy alloys, HEAs) are an emerging alloy material, which has been developed rapidly and has become a research hotspot in the field of metal materials. It breaks the alloy design concept of one or two principal elements in traditional alloys. It is composed of five or more principal elements, and the atomic percentage (at.%) of each element is greater than 5% but not more than 35%. The high-entropy effect caused by the increase of alloy principal elements makes the crystals easy form body-centered cubic or face-centered cubic structures, and may be accompanied by intergranular compounds and nanocrystals, to achieve solid solution strengthening, precipitation strengthening, and dispersion strengthening. The optimized design of alloy composition can make HEAs exhibit much better than traditional alloys such as high-strength steel, stainless steel, copper-nickel alloy, and nickel-based superalloy in terms of high strength, high hardness, high-temperature oxidation resistance, and corrosion resistance. At present, refractory high-entropy alloys (RHEAs) containing high-melting refractory metal elements have excellent room temperature and high-temperature properties, and their potential high-temperature application value has attracted widespread attention in the high-temperature field. This article reviews the research status and preparation methods of RHEAs and analyzes the microstructure in each system and then summarizes the various properties of RHEAs, including high strength, wear resistance, high-temperature oxidation resistance, corrosion resistance, etc., and the common property tuning methods of RHEAs are explained, and the existing main strengthening and toughening mechanisms of RHEAs are revealed. This knowledge will help the on-demand design of RHEAs, which is a crucial trend in future development. Finally, the development and application prospects of RHEAs are prospected to guide future research.

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The formation of modulated structures in Ni-V alloys

Cited by 28 publications

References 16 publications

Modeling and Analysis of Yielding and Strain Hardening in Metastable High‐Entropy Alloys

Modeling and Analysis of Yielding and Strain Hardening in Metastable High‐Entropy Alloys

Multifunctional High Entropy Alloys Enabled by Severe Lattice Distortion

Development and Property Tuning of Refractory High-Entropy Alloys: A Review

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