<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si178.svg" display="inline" id="d1e2925"><mml:mi>ρ</mml:mi></mml:math>-CP: Open source dislocation density based crystal plasticity framework for simulating temperature- and strain rate-dependent deformation

Patra, Anirban; Chaudhary, Suketa; Pai, Namit; Ramgopal, Tarakram; Khandelwal, Sarthak; Rao, Adwitiya

doi:10.1016/j.commatsci.2023.112182

Cited by 15 publications

(3 citation statements)

References 93 publications

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“…A parametric study of the effect of some of the model parameters governing the initial strength and subsequent hardening is shown in Appendix A (Figures A1 and A2). Further, we also note that while the estimated values of these parameters lie in the range of literature studies for other structural alloys, 33,44,46 their uniqueness is not guaranteed, that is, alternate model parameters that can predict a similar stress-strain response may also exist. Plastic flow parameters, such as the reference strain rate, _ ε 0 ; activation energy for dislocation glide, ΔF g ; shape parameters for the enthalpy curve, p and q; and the thermal resistance to dislocation glide, S t , are calibrated by fitting the temperature-dependent yield stress to corresponding experimental values.…”

Section: Model Parametersmentioning

confidence: 80%

“…Constitutive models for the evolution of the mobile and immobile dislocation densities have been adopted from previous studies, 29,33,[44][45][46] where they have been implemented in crystal plasticity and J 2 plasticity models to study the deformation of metallic alloys, including Ni-based superalloys. Their evolution rates are of the form:…”

Section: Dislocation Strengtheningmentioning

confidence: 99%

“…These values are in the same range as earlier studies. 45,53,61,62 Specifically, the value of the dislocation immobilization parameter, k I , has generally been assumed to be about 80%-90% of the dislocation multiplication parameter, k M : 44 Physically, these govern the rate of generation of mobile dislocation density and their conversion to immobile dislocation densities. The dynamic recovery parameter, k D , generally governs the hardening rate at higher values of plastic strain, that is, the higher the value of this parameter, the higher the saturation in the stress-strain response.…”

Section: Model Parametersmentioning

confidence: 99%

See 2 more Smart Citations

Dislocation density‐based constitutive model for cyclic deformation and softening of Ni‐based superalloys

Kumar,

Patra,

Sahu

2024

Fatigue Fract Eng Mat Struct

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A physically‐based constitutive modeling framework is proposed for the cyclic deformation and softening of Ni‐based superalloys. The constitutive model accounts for underlying mechanisms of grain size strengthening, dislocation strengthening, solid solution strengthening, and precipitate strengthening, commonly observed in these alloys. A constitutive model is proposed for the shearing of precipitates on their interaction with glide dislocations during cyclic deformation. This is the primary contributor to the experimentally observed cyclic softening behavior in Ni‐based superalloys. Model predictions of the cyclic stress–strain response and the cyclic softening (quantified in terms of the peak stress) are compared with the experimental counterparts for a range of strain amplitudes under fully‐reversed cyclic loading of Inconel 718 (IN 718). Further, model predictions of precipitate size are also compared with the experimentally measured transmission electron micrographs of precipitate sizes at the end of deformation. Concurrence in the cyclic stress–strain response, peak stress, and precipitate size provides validation for our constitutive modeling framework.

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Section: Model Parametersmentioning

confidence: 80%

Section: Dislocation Strengtheningmentioning

confidence: 99%

Section: Model Parametersmentioning

confidence: 99%

See 1 more Smart Citation

Dislocation density‐based constitutive model for cyclic deformation and softening of Ni‐based superalloys

Kumar,

Patra,

Sahu

2024

Fatigue Fract Eng Mat Struct

Self Cite

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Research on the Heterogeneous Deformation Behavior of Nickel Base Alloy Based on CPFEM

Liu,

You,

Zhao

et al. 2024

Cryst. Res. Technol.

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In this paper, a crystal plasticity finite element method (CPFEM), considering the grain morphology and orientation, as well as the dislocation density, is used to research the tensile deformation behavior of GH4169 based on Electron Backscatter Diffraction (EBSD). The stress, plastic strain, and dislocation density distributions are obtained for different levels of deformation. Results show that the stress, plastic strain, and dislocation density exhibit obvious heterogeneous plastic deformation, and stress concentration and dislocation pileup mainly occurs near grain boundaries. The initial dislocation density mainly affects the stress–strain curve of the material, and it can obviously effect the yield strength but cannot influence the hardening ability of the material. The total dislocation density increases with plastic strain. However, the texture evolution has no evident change with increasing plastic strain, except for the increase of texture content in Cube (001)[100].

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Nonequilibrium statistical thermodynamics of thermally activated dislocation ensembles: part 2—ensemble evolution toward correlation of enthalpy barriers

McDowell

2023

J Mater Sci

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ρ-CP: Open source dislocation density based crystal plasticity framework for simulating temperature- and strain rate-dependent deformation

Cited by 15 publications

References 93 publications

Dislocation density‐based constitutive model for cyclic deformation and softening of Ni‐based superalloys

Dislocation density‐based constitutive model for cyclic deformation and softening of Ni‐based superalloys

Research on the Heterogeneous Deformation Behavior of Nickel Base Alloy Based on CPFEM

Nonequilibrium statistical thermodynamics of thermally activated dislocation ensembles: part 2—ensemble evolution toward correlation of enthalpy barriers

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