Gradient-dependent deformation of two-phase single crystals

Busso, Esteban P.

doi:10.1016/s0022-5096(00)00006-5

Cited by 315 publications

(187 citation statements)

References 20 publications

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“…code ABAQUS [20] within the framework of large strain kinematics via a user-defined material subroutine (UMAT), where the fully implicit (Euler backward) integration algorithm was adopted [13,14].…”

Section: Crystal Plasticity Constitutive Modelmentioning

confidence: 99%

“…Prior to the fitting process, some material constants, namely, F 0 , 0 τ , p, q and 0 γ & , were estimated from the literatures. For instance, the full model parameters are already available for CMSX4 nickel single crystals [13][14][15], which serve as a general guideline on the initial estimations. Following each simulation, the resulting stress values at each strain point were compared with the experimental data, the magnitude of the difference was considered in an error function (objective function) over the history.…”

Section: Determination Of Model Parametersmentioning

confidence: 99%

“…Power law [2, 4-7, 10, 11], and exponential functions [1,3,8,12] are most commonly adopted in the formulation. Internal variables are also generally introduced to represent the evolution of the micro-structural state during the deformation process, such as the effects of dislocation interactions, hardening and strain gradient phenomena [13,14].…”

Section: Introductionmentioning

confidence: 99%

“…The crystal plasticity theory has been applied for creep [15,16], fatigue [15,17], thermal-mechanical fatigue [15], indentation deformation [18] and gradient-dependent deformation [13,14] analyses of single crystal nickel superalloys. Application of the theory has also been extended to model stress-strain response and fatigue crack nucleation for polycrystalline nickel superalloy [9,19] where microstructure was considered as one of the major factors influencing the fatigue and creep properties of the material.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature

Lin

Tong

et al. 2010

Materials Science and Engineering: A

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Section: Crystal Plasticity Constitutive Modelmentioning

confidence: 99%

Section: Determination Of Model Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature

Lin

Tong

et al. 2010

Materials Science and Engineering: A

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“…The formulation of accurate estimates of the global Jacobian is at the heart of most numerical schemes developed to provide robust algorithms for the use of complex constitutive models with continuum approaches (for example, Crisfield (1997), Esche et al (1997) and Busso et al (2000)). …”

Section: Continuum Discretization Of a Boundary Value Problemmentioning

confidence: 99%

Multiscale modelling of nanomechanics and micromechanics: an overview

Ghoniem

Busso

Kioussis

et al. 2003

Philosophical Magazine

139

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Recent advances in analytical and computational modelling frameworks to describe the mechanics of materials on scales ranging from the atomistic, through the microstructure or transitional, and up to the continuum are reviewed. It is shown that multiscale modelling of materials approaches relies on a systematic reduction in the degrees of freedom on the natural length scales that can be identified in the material. Connections between such scales are currently achieved either by a parametrization or by a 'zoom-out' or 'coarse-graining' procedure. Issues related to the links between the atomistic scale, nanoscale, microscale and macroscale are discussed, and the parameters required for the information to be transferred between one scale and an upper scale are identified. It is also shown that seamless coupling between length scales has not yet been achieved as a result of two main challenges: firstly, the computational complexity of seamlessly coupled simulations via the coarse-graining approach and, secondly, the inherent difficulty in dealing with system evolution stemming from time scaling, which does not permit coarse graining over temporal events. Starting from the Born-Oppenheimer adiabatic approximation, the problem of solving quantum mechanics equations of motion is first reviewed, with successful applications in the mechanics of nanosystems. Atomic simulation methods (e.g. molecular dynamics, Langevin dynamics and the kinetic Monte Carlo method) and their applications at the nanoscale are then discussed. The role played by dislocation dynamics and statistical mechanics methods in understanding microstructure self-organization, heterogeneous plastic deformation, material instabilities and failure phenomena is also discussed.

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Nanoindentation and Nano‐Compresion Testing of Ni ₃ Al Precipitates

et al. 2012

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Using an AFM-based instrumented nanoindentation system, the nanoindentation response of γ' particles (Ni 3 Al) in a Ni-base single crystal superalloy CMSX-4 was characterized to demonstrate the influence of the softer γ matrix on the measurement of nano-mechanical properties of γ' particles. The properties of the γ' particles were measured after both a standard and a coarsening heat treatment, in which the initially sub-micron sized cuboidal γ' particles transformed to large, irregularly shaped γ' precipitates with dimensions in excess of 30 μm. The measured nano-hardness of the coarsened γ' precipitates in CMSX-4 appears to increase slightly with the increasing load. Nano-compression testing of cuboidal γ' particles, electrolytically extracted from a CMSX-4 after a standard solution and age heat treatment, was also performed. With a maximum value of 10 GPa, the measured yield stress of these dislocation-free γ' particles approaches the ideal strength and is equivalent to ~G/17. Compared to the measured yield strengths of γ' phase in its bulk crystal form, these nano-compression results are more than a factor of 33 higher. Additionally, the 'softening' effect of Ga + ion implantation on the strength of dislocation-free nanocrystals was also assessed. The resulting yield strengths of cuboidal γ' precipitates imaged with a focused ion beam were at least 5 GPa lower than those that had not been subjected to Ga + ion implantation.

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Gradient-dependent deformation of two-phase single crystals

Cited by 315 publications

References 20 publications

Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature

Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature

Multiscale modelling of nanomechanics and micromechanics: an overview

Nanoindentation and Nano‐Compresion Testing of Ni ₃ Al Precipitates

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Gradient-dependent deformation of two-phase single crystals

Cited by 315 publications

References 20 publications

Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature

Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature

Multiscale modelling of nanomechanics and micromechanics: an overview

Nanoindentation and Nano‐Compresion Testing of Ni 3 Al Precipitates

Contact Info

Product

Resources

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Nanoindentation and Nano‐Compresion Testing of Ni ₃ Al Precipitates