A microstructure based analytical model for tensile twinning in a rod textured Mg alloy

Barnett, Matthew; Bouaziz, Olivier; Tóth, László

doi:10.1016/j.ijplas.2015.05.003

Cited by 20 publications

(5 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years, Barnett et al [60], Siska et al [69], and Paudel et al [68] showed that the stress relaxation due to twin formation is significant during modeling of twin formation and growth in a crystal plasticity model. The effects of different microstructural aspects such as misorientation, low angle boundaries, autocatalysis, and twin aspect ratios during the growth and propagation of deformation twins are studied by Kumar et al [69,[136][137][138][139][140] using the crystal plasticity fast Fourier transform (CPFFT) method.…”

Section: Fast-fourier Transfer (Cpfft) Based Methodsmentioning

confidence: 99%

“…Lagrangian method [7,8,[188][189][190] -accurate prediction of texture evolution -considers volume fraction evolution for all twin variants 4 Updated Lagrangian method [9,99,115,158,183] -includes the effects primary, secondary, and/or tertiary twins in constitutive relations -study effect of extension twinning on dynamic recrystallization in Mg AZ31 alloy 5 Composite Grain model [4,118,191] -incorporates physical twin in a CP model -both twinning and detwinning can be implemented 6 Twinning detwinning moddel [11,116,162,163,[192][193][194] -incorporates detwinning mechanism in a CP model -simulate stress-strain hysteresis due to twinning and detwinning -describe the tensile and compressive yield asymmetry, anisotropy, and strain hardening behavior along arbitrary directions [194] 7 Dislocation density based model [10,119,168,191,[195][196][197][198][199] -includes dislocation transmutation and twin accommodation effects to predict plastic anisotropy of texture Mg alloys -Reproduce stress-strain response, anisotropic hardening, and evolution of twin volume fraction and texture -incorporate directionality of dislocation glide and detwinning and their effects on the evolution of stored dislocation density populations and texture evolution 8 Probabilistic nucleation method [32,33,109,137,142,188,200,…”

Section: Othersmentioning

confidence: 99%

See 1 more Smart Citation

A Review on Capturing Twin Nucleation in Crystal Plasticity for Hexagonal Metals

Paudel

Giri

Priddy

et al. 2021

Metals

View full text Add to dashboard Cite

Owing to its ability to incorporate Schmid’s law at each integration point, crystal plasticity has proven a powerful tool to simulate and predict the slip behavior at the grain level and the ensuing heterogeneous stress/strain localization and texture evolution at the macroscopic level. Unfortunately, notwithstanding substantial efforts during the last three decades, this remarkable capability has not been replicated for materials where twinning becomes a noticeable deformation mechanism, namely in the case of low-stacking fault energy cubic, orthorhombic, and hexagonal close-packed structures. The culprit lies in the widely adopted unphysical pseudo-slip approach for capturing twin formation. While the slip is diffuse, twinning is a localized event that occurs as a drastic burst of a confined number of partial twinning dislocations establishing an interface that pursues growth through a thread of perfect twinning dislocations in the sense of bicrystallography. Moreover, at earlier stages, twin nucleation may require atomic diffusion (Shuffling) and faceting, generally demanding higher stress levels not necessarily on the twin shear plane, while triaxiality at adequate sites might be needed or preferred such as lower grain boundary misorientations or other twin boundaries. Identifying a mathematical framework in the constitutive equations for capturing these twin formation sensitivities has been a daunting challenge for crystal plasticity modelers, which has stalled ameliorating the design of key hexagonal materials for futuristic climate change-related industries. This paper reviews existing approaches to incorporating twinning in crystal plasticity models, discusses their capabilities, addresses their limitations, and suggests prospective views to fill gaps. The incorporation of a new physics-based twin nucleation criterion in crystal plasticity models holds groundbreaking potential for substantial progress in the field of computational material science.

show abstract

Section: Fast-fourier Transfer (Cpfft) Based Methodsmentioning

confidence: 99%

Section: Othersmentioning

confidence: 99%

A Review on Capturing Twin Nucleation in Crystal Plasticity for Hexagonal Metals

Paudel

Giri

Priddy

et al. 2021

Metals

View full text Add to dashboard Cite

show abstract

“…Furthermore, there are also limitations to some of these models, for example, the model developed for {101 ̅ 2} twinning [47] in an extruded AZ31 can predict the stress-strain curve at low strains, up to 1.5%. However, the model is not able to extend to higher strains due to complex phenomena involved such as interactions between slip and twinning and saturation of twin nucleation at higher strains.…”

Section: Introductionmentioning

confidence: 99%

An Analysis of the Tensile Deformation Behavior of Commercial Die-Cast Magnesium-Aluminum-Based Alloys

Ang

Abbott

Zhu

et al. 2019

Metall Mater Trans A

View full text Add to dashboard Cite

Magnesium and its alloys have a complex progression of deformation mechanisms due to the hexagonal closed-packed crystal structure. Magnesium undergoes a series of different deformation modes as stress increases. The deformation behavior is marked by the commencement of elastic (Stage I), followed by basal slip and twinning (Stage II), prismatic slip (Stage III) and finally pyramidal slip (Stage IV). In this study, the deformation behavior of a range of commercial die-cast magnesium-aluminium based alloys are analyzed. Four distinct stages of strain hardening can be seen in the tensile stress-strain curve and these are modelled according to the assumption that they correspond to the four deformation mechanisms. It is shown that both Stages I and III can be described by a linear equation while Stages II and IV follow a power-law relationship and fitted with Hollomon's equation. A semi-empirical equation is proposed to model the entire stress-strain curve, which provides a simple way to understand the deformation of magnesium alloys and points towards better methods of modelling magnesium alloy behavior in part design.

show abstract

“…Twinning as an important plastic deformation mechanism in HCP materials has been extensively studied (see e.g. Arul Kumar et al [1]; Balik et al [2]; Barnett et al [3,4]; Ghaffari Tari et al [5]; Guo et al [6]; Jin et al [7]; Kabirian et al [8]; Kurukuri et al [9]; Lynch et al [10]; Mathis et al [11];…”

Section: Introductionmentioning

confidence: 99%

On the rapid hardening and exhaustion of twinning in magnesium alloy

Guo

Qiao

et al. 2017

Acta Materialia

View full text Add to dashboard Cite

We numerically study the rapid hardening and possible role of exhaustion of twinning in magnesium alloys under twinning dominated conditions, based on the large strain elastic visco-plastic self-consistent model. It is found that upon the exhaustion of the tensile twinning, further deformation requires the material to activate Prismatic and Pyramidal slips, which have relative high critical resolved shear stress (CRSS). However, the stress level at the exhaustion of the tensile twinning is not high enough to activate Prismatic and Pyramidal slips. Consequently, the imposed strain increments must mainly be accommodated by elastic deformations, and the strain hardening rate becomes a large fraction of the elastic modulus. Therefore, it can be concluded that the rapid hardening is a composite response more associated with elasticity of a large volume fraction of the material, than the dislocation-dislocation interactions normally held responsible for strain hardening of metals.

show abstract

A microstructure based analytical model for tensile twinning in a rod textured Mg alloy

Cited by 20 publications

References 50 publications

A Review on Capturing Twin Nucleation in Crystal Plasticity for Hexagonal Metals

A Review on Capturing Twin Nucleation in Crystal Plasticity for Hexagonal Metals

An Analysis of the Tensile Deformation Behavior of Commercial Die-Cast Magnesium-Aluminum-Based Alloys

On the rapid hardening and exhaustion of twinning in magnesium alloy

Contact Info

Product

Resources

About