Prediction of crystallographic texture evolution and anisotropic stress–strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model

Wu, Xiancang; Kalidindi, Surya R.; Necker, C.T.; Salem, Ayman A.

doi:10.1016/j.actamat.2006.08.034

Cited by 204 publications

(88 citation statements)

References 27 publications

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“…Possible impedances of slip or twinning via slip-slip interactions, slip-twin interactions and twin-twin interactions entering (3.46) may depend in a complex manner on a number of factors, including geometric relationships between interacting systems, temperature, crystal structure and defect content (Christian & Mahajan 1995;Kalidindi 1998;Castaing et al 2002;Wu et al 2007). The theory is applicable over a potentially wide temperature range via dependence of initial values of resistances to slip and twinning (i.e.…”

Section: (E ) Kineticsmentioning

confidence: 99%

A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire

Clayton

2008

Proc. R. Soc. A.

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A model is developed for elasticity, plasticity and twinning in anisotropic single crystals subjected to large deformations. Dislocation glide and deformation twinning are dissipative, while energy storage mechanisms associated with dislocation lines and twin boundaries are described via scalar internal state variables. Concepts from continuum crystal plasticity are invoked, with shearing rates on discrete glide and twinning systems modelled explicitly. The model describes aspects of thermomechanical behaviour of single crystals of alumina over a range of loading conditions. Resolved shear stresses necessary for glide or twin nucleation at low to moderate temperatures are estimated from nonlinear elastic calculations, theoretical considerations of Peierls barriers and stacking fault energies and observations from shock physics experiments. These estimates are combined with the existing data from high-temperature experiments to provide initial yield conditions spanning a wide range of temperatures. The model reflects hardening of glide and twin systems from dislocations accumulated during basal slip. Residual elastic volume changes, predicted from nonlinear elastic considerations and approximated dislocation line energies, are positive and proportional to the dislocation line density. While the model suggests that generation of very large dislocation densities could influence the pressure-volume response, volume increases from defects are predicted to be small in crystals deformed via basal glide on a single system.

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Section: (E ) Kineticsmentioning

confidence: 99%

A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire

Clayton

2008

Proc. R. Soc. A.

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“…It appears that the development of this texture affects the distribution of stresses with a relaxation of the stresses at the surface and a maximum in the under layer [43]. We explain these modifications by the fact that the level of plastic flow, related to local stresses, is dependent on grain orientation [28,44,45,46].…”

Section: Discussionmentioning

confidence: 98%

Study of Mechanical Properties of AZ91 Magnesium Alloy Welded by Laser Process Taking into Account the Anisotropy Microhardness and Residual Stresses by X-Ray Diffraction

Kouadri

Barrallier

2010

Metall Mater Trans A

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. ABSTRACTThe objective was to study the mechanical properties of a magnesium alloy welded by a CO 2 laser. Residual stresses were measured by X-ray diffraction. They were calculated by the classic sin 2 Ψ method in the isotropic zones by using the orientation distribution function

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“…It appears that the development of this texture affects the distribution of stresses with a relaxation of the stresses at the surface and a maximum in the under layer. We explain these modifications by the fact that the level of plastic flow, related to local stresses, is dependent on grain orientation (Su et al, 2002;Agnew & Duygulu, 2005;Wu et al, 2007).…”

Section: Minimum Close To the Surfacementioning

confidence: 99%

Welding of Thin Light Alloys Sheets by CO2 Laser Beam: Magnesium Alloys

Kouadri-David¹

2012

CO2 Laser - Optimisation and Application

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Prediction of crystallographic texture evolution and anisotropic stress–strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model

Cited by 204 publications

References 27 publications

A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire

A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire

Study of Mechanical Properties of AZ91 Magnesium Alloy Welded by Laser Process Taking into Account the Anisotropy Microhardness and Residual Stresses by X-Ray Diffraction

Welding of Thin Light Alloys Sheets by CO2 Laser Beam: Magnesium Alloys

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