Modelling solid solution hardening in high entropy alloys

Toda‐Caraballo, Isaac; Rivera-Dı́az-del-Castillo, P.E.J.

doi:10.1016/j.actamat.2014.11.014

Cited by 523 publications

(163 citation statements)

References 56 publications

Supporting

Mentioning

152

Contrasting

Unclassified

Order By: Relevance

“…(A.10), we can further connect σ ∆Utot (ζ, w) to the so-called misfit parameter [2,3,43,44]. This connection arises through the "solute" quantity n c n ∆V n 2 that emerges in the present theory.…”

Section: Appendix B Connection To the δ Parametermentioning

confidence: 99%

Theory of strengthening in fcc high entropy alloys

2016

View full text Add to dashboard Cite

Section: Appendix B Connection To the δ Parametermentioning

confidence: 99%

Theory of strengthening in fcc high entropy alloys

2016

View full text Add to dashboard Cite

“…The ∆σ i of Mo is significantly higher than ∆σ i by other elements. Using the Gypen and Deruyttere approach [48], the SSS effect has been estimated for HEAs [47]. The SSS of the alloy (∆σ) by summarizing ∆σ i of each constituent is expressed by the following equation: Substituting ∆σ i values (determined via Equation (10) through Equations (11)- (13)) into Equation (14) yields a ∆σ value of 1.21 GPa.…”

Section: Solid Solution Strengthening (Sss)mentioning

confidence: 99%

“…On the basis of the classical Labush approach [46], which has been successfully applied to HEAs [47], the SSS caused by the i-th element can be expressed as:…”

Section: Solid Solution Strengthening (Sss)mentioning

confidence: 99%

MoNbTaV Medium-Entropy Alloy

Yao

Qiao

Gao

et al. 2016

Entropy

115

View full text Add to dashboard Cite

Abstract:Guided by CALPHAD (Calculation of Phase Diagrams) modeling, the refractory medium-entropy alloy MoNbTaV was synthesized by vacuum arc melting under a high-purity argon atmosphere. A body-centered cubic solid solution phase was experimentally confirmed in the as-cast ingot using X-ray diffraction and scanning electron microscopy. The measured lattice parameter of the alloy (3.208 Å) obeys the rule of mixtures (ROM), but the Vickers microhardness (4.95 GPa) and the yield strength (1.5 GPa) are about 4.5 and 4.6 times those estimated from the ROM, respectively. Using a simple model on solid solution strengthening predicts a yield strength of approximately 1.5 GPa. Thermodynamic analysis shows that the total entropy of the alloy is more than three times the configurational entropy at room temperature, and the entropy of mixing exhibits a small negative departure from ideal mixing.

show abstract

“…Recently, Toda-Caraballo et al 9,10,13 have proposed an extension of a classical SSS model for binary systems 4 to multicomponent systems, where the key parameters are the alloy's calculated unit cell parameter and its variation with composition. Curtin and co-workers 8 put forward a parameterfree and predictive SSS theory by approximating the multicomponent matrix as an effective medium having the average properties of the alloy and then calculated the solute-dislocation interaction energy from first principles for a multitude of configurations.…”

mentioning

confidence: 99%

“…The first models that attempted to quantify this effect were introduced about seven decades ago; 1-4 since then, many refinements have been proposed, continuing to the present. [5][6][7][8][9][10][11][12][13][14][15] Recently, complex solid solutions comprising multiple principal elements, often referred to as high-entropy alloys (HEAs), a name coined by Yeh et al [Ref. 16], have been receiving tremendous attention in the literature [e.g., Refs.…”

mentioning

confidence: 99%

Atomic displacement in the CrMnFeCoNi high-entropy alloy – A scaling factor to predict solid solution strengthening

et al. 2016

View full text Add to dashboard Cite

Although metals strengthened by alloying have been used for millennia, models to quantify solid solution strengthening (SSS) were first proposed scarcely seventy years ago. Early models could predict the strengths of only simple alloys such as dilute binaries and not those of compositionally complex alloys because of the difficulty of calculating dislocation-solute interaction energies. Recently, models and theories of SSS have been proposed to tackle complex high-entropy alloys (HEAs). Here we show that the strength at 0 K of a prototypical HEA, CrMnFeCoNi, can be scaled and predicted using the root-mean-square atomic displacement, which can be deduced from X-ray diffraction and first-principles calculations as the isotropic atomic displacement parameter, that is, the average displacements of the constituent atoms from regular lattice positions. We show that our approach can be applied successfully to rationalize SSS in FeCoNi, MnFeCoNi, MnCoNi, MnFeNi, CrCoNi, CrFeCoNi, and CrMnCoNi, which are all medium-entropy subsets of the CrMnFeCoNi HEA.

show abstract

Modelling solid solution hardening in high entropy alloys

Cited by 523 publications

References 56 publications

Theory of strengthening in fcc high entropy alloys

Theory of strengthening in fcc high entropy alloys

MoNbTaV Medium-Entropy Alloy

Atomic displacement in the CrMnFeCoNi high-entropy alloy – A scaling factor to predict solid solution strengthening

Contact Info

Product

Resources

About