A process model for age hardening of aluminium alloys—I. The model

Shercliff, Hugh; Ashby, Michael F.

doi:10.1016/0956-7151(90)90291-n

Cited by 394 publications

(207 citation statements)

References 5 publications

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“…where ss τ Δ and d τ Δ are the increase in CRSS of the grains due to the solute in the matrix [1,50] and the dislocations [46], respectively and determined by:…”

Section: Total Crss Of the Grainsmentioning

confidence: 99%

“…where ss k is a constant calculated on the basis of data on strength of binary (Al-Mg and Al-Cu) dilute solid solutions [51], c is the concentration of the solute, m is a constant that has been taken in the past as either 2/3 [1,50] or 1 [52]. Due to the very small levels of dissolved elements, the choice of m does not significantly influence model predictions, and in the present model it is taken as 1. ε is the plastic strain and a k is the strain hardening factor, which depends on microstructural parameters.…”

Section: Total Crss Of the Grainsmentioning

confidence: 99%

“…There has been considerable interest in the modelling of precipitation kinetics and strengthening in age hardening aluminium alloys [1,2,3,4,5,6,7,8,9,10,11,12,13]. Most of the published work on modelling of the precipitation kinetics in aluminium alloys is based on two main approaches [1][2][3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…Most of the published work on modelling of the precipitation kinetics in aluminium alloys is based on two main approaches [1][2][3][4][5][6][7][8][9][10]. In one of the approaches, the modelling of the nucleation, growth and impingement of precipitates are based on the concepts of the Johnson-Mehl-AvramiKolmogorov (JMAK) model [14,15,16] and the modelling of the coarsening kinetics is based on the Lifshitz-Slyozov-Wagner (LSW) theory [17,18].…”

Section: Introductionmentioning

confidence: 99%

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A model for precipitation kinetics and strengthening in Al–Cu–Mg alloys

Khan

Starink

Yan

2008

Materials Science and Engineering: A

133

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A physically-based numerical model is developed to predict the microstructural evolution and strengthening in Al-Cu-Mg alloys during isothermal treatments. The modelling of the formation kinetics of the precipitates is based on the Kampmann and Wagner model. The strengthening by the shearable Cu:Mg co-clusters is modelled on the basis of modulus strengthening mechanism and the strengthening by the non-shearable S phase precipitates is based on the Orowan looping mechanism. The model predictions are verified by comparing with the strength and differential isothermal calorimetery data on 2024-T351 aluminium alloys. The microstructural development and strength predictions of the model are generally in good agreement with the experimental data.

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“…where ss τ Δ and d τ Δ are the increase in CRSS of the grains due to the solute in the matrix [1,50] and the dislocations [46], respectively and determined by:…”

Section: Total Crss Of the Grainsmentioning

confidence: 99%

Section: Total Crss Of the Grainsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A model for precipitation kinetics and strengthening in Al–Cu–Mg alloys

Khan

Starink

Yan

2008

Materials Science and Engineering: A

133

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“…[1][2][3] Because the former strength contribution is by far the most important one, the precipitation sequence and resulting strength evolution occurring during natural and artificial aging of the alloys have been extensively investigated and reported upon in the scientific literature. [4][5][6] In addition, the chemical composition and atomic structure of the clusters and hardening precipitate which form have been studied in detail by means of various high-resolution experimental techniques along with atomistic modeling.…”

Section: Introductionmentioning

confidence: 99%

An Extended Age-Hardening Model for Al-Mg-Si Alloys Incorporating the Room-Temperature Storage and Cold Deformation Process Stages

Myhr

Grong

Schäfer

2015

Metall Mater Trans A

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In this article, a new age-hardening model for Al-Mg-Si alloys is presented (named NaMo-Version 2), which takes into account the combined effect of cold deformation and prolonged room-temperature storage on the subsequent response to artificial aging. As a starting point, the original physical framework of NaMo-Version 1 is revived and used as a basis for the extension. This is permissible, since a more in-depth analysis of the underlying particle-dislocation interactions confirms previous expectations that the simplifying assumption of spherical precipitates is not crucial for the final outcome of the calculations, provided that the yield strength model is calibrated against experimental data. At the same time, the implementation of the Kampmann-Wagner formalism means that the different microstructure models can be linked together in a manner that enforces solute partitioning and competition between the different hardening phases which form during aging (e.g., clusters, b¢¢ and b¢). In a calibrated form, NaMo-Version 2 exhibits a high degree of predictive power, as documented by comparison with experiments, using both dedicated nanostructure and yield strength data as a basis for the validation. Hence, the model is deemed to be well-suited for simulation of thermomechanical processing of Al-Mg-Si alloys involving cold-working operations like sheet forming and stretch bending in combination with heat treatment and welding.

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Predicting the Response of Aluminum Casting Alloys to Heat Treatment

Wu¹,

Makhlouf²

2011

Light Metals 2011

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The objective of this research was to develop and verify a mathematical model and the necessary material database that allow predicting the physical and material property changes that occur in aluminum casting alloys in response to precipitationhardening heat treatment. The model accounts for all three steps of the typical precipitation hardening heat treatment; i.e., the solutionizing, quenching, and aging steps; and it allows predicting the local hardness and tensile strength, and the local residual stresses, distortion and dimensional changes that develop in the cast component during each step of the heat treatment process.

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A process model for age hardening of aluminium alloys—I. The model

Cited by 394 publications

References 5 publications

A model for precipitation kinetics and strengthening in Al–Cu–Mg alloys

A model for precipitation kinetics and strengthening in Al–Cu–Mg alloys

An Extended Age-Hardening Model for Al-Mg-Si Alloys Incorporating the Room-Temperature Storage and Cold Deformation Process Stages

Predicting the Response of Aluminum Casting Alloys to Heat Treatment

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