Modeling the strengthening response to aging process of heat-treatable aluminum alloys containing plate/disc- or rod/needle-shaped precipitates

Liu, G.; Zhang, G.J.; Ding, Xiangdong; Sun, Junjie; Chen, K.H.

doi:10.1016/s0921-5093(02)00398-2

Cited by 229 publications

(64 citation statements)

References 44 publications

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“…It is also worth discussing in details how the proposed diffusion correction factor revise the ones reported in the literature [23,25,26,28]. We summarize Shape factors f based on reported diffusion solutions as follows: …”

Section: Discussionmentioning

confidence: 99%

“…They also estimated a solution for smaller aspect ratios based on a rough curve fitting involving numerical solutions required as a part of the analytical time dependent solution. Liu et al [23] applied their approximation for the case of plate shaped precipitates in an Al-Mg-Cu alloy, which has smaller aspect ratios. Furthermore they adapted this simplified diffusion solution to cover the case of needle-shaped particles precipitated in AlMg-Si alloys.…”

Section: Introductionmentioning

confidence: 99%

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Precipitation of Non-Spherical Particles in Aluminum Alloys Part I: Generalization of the Kampmann–Wagner Numerical Model

Holmedal

Osmundsen

2015

Metall Mater Trans A

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Particles precipitated during aging treatments often have non-spherical shapes, e.g. needles or plates, while in the classical Kampmann-Wagner Numerical (KWN) precipitation model it is assumed that the particles are of spherical shape. This model is here generalized resulting in two correction factors accounting for the effects induced by the particles' non-spherical shape on their growth kinetics. The first one is for the correction of the growth rate. It is derived from the approximate solution of the diffusion problem on spheroidal coordinate and verified by the three-dimensional numerical solutions for cuboid particles. The second factor is for the energetic correction due to the particle surface curvature. It is derived from chemical potential equality (or Gibbs energy minimization principle) at equilibrium for non-spherical particles and provides a correction factor for the Gibbs-Thomson effect. In the accompanying paper the two correction factors are implemented into a multi-component KWN modelling framework and the resulting improvements on the model's predictive power are demonstrated.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Precipitation of Non-Spherical Particles in Aluminum Alloys Part I: Generalization of the Kampmann–Wagner Numerical Model

Holmedal

Osmundsen

2015

Metall Mater Trans A

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“…The curves are obtained by substituting the parameters of constituents and dispersoids in Table II, as well as those of precipitates from Liu et al [23] into the Eqs. [9] and [10] and using Eq.…”

Section: Aging Timementioning

confidence: 99%

“…[2,3,4] Although the previous multiscale models are put in practice generally using finite element (FE)-based technologies using strain gradient plasticity theory, [19,20] Green's function method, [21] and image processing, [22] jointly or separately, this article considers the coupled influences of three types of second-phase particles on ductility in an improved analytical model for aged aluminum alloys. Subsequently, we attempt to take this ductility model together with the precipitation and strengthening model previously established [23] to present an overall description of the yield strength and ductility for uniaxially tensioned aluminum alloys, which contain disc-shaped or needle-shaped precipitates, and then to validate it experimentally.…”

Section: Introductionmentioning

confidence: 99%

The influences of multiscale-sized second-phase particles on ductility of aged aluminum alloys

Liu

Zhang

Ding

et al. 2004

Metall Mater Trans A

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109

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Commercially aged aluminum alloys commonly contain second-phase particles of three class sizes, and all contribute appreciably to the mechanical properties observed at the macroscopic scale. In this article, a multiscale model was constructed to describe the individual and coupling influences of the three types of second-phase particles on tensile ductility. The nonlinear relationships between the parameters of particles, including volume fraction, size, aspect ratio, shape, and ductility, were then quantitatively established and experimentally validated by the measured results from disc-shaped precipitate containing Al-Cu-Mg alloys and needle-shaped precipitate containing Al-Mg-Si alloys, as well as by using other researchers' previously published results. In addition, we discuss extending this model to predict the fracture toughness of aluminum alloys.

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“…The problem with this type of application is that the number of steps between the microscopic mechanisms and macroscopic response is very large, which usually complicates the construction of complete models for industrial alloys, and that most authors use it only to predict yield stress (Gandin et al, 2002;Liu et al, 2003).…”

Section: Behavior Modelmentioning

confidence: 99%

Fatigue life evaluation of A356 aluminum alloy used for engine's cylinder head

Angeloni¹

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Modeling the strengthening response to aging process of heat-treatable aluminum alloys containing plate/disc- or rod/needle-shaped precipitates

Cited by 229 publications

References 44 publications

Precipitation of Non-Spherical Particles in Aluminum Alloys Part I: Generalization of the Kampmann–Wagner Numerical Model

Precipitation of Non-Spherical Particles in Aluminum Alloys Part I: Generalization of the Kampmann–Wagner Numerical Model

The influences of multiscale-sized second-phase particles on ductility of aged aluminum alloys

Fatigue life evaluation of A356 aluminum alloy used for engine's cylinder head

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