An Elastic-Plastic Analysis of Polycrystalline Structure Using Crystal Plasticity Modelling – Theory and Benchmark Tests

Wójcik, Marta; Skrzat, A.

doi:10.12913/22998624/154025

Cited by 2 publications

(2 citation statements)

References 31 publications

(34 reference statements)

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“…Assuming the kinematic hardening and the backstress associated with it, the shear rate might be rewritten as (Eq. 15) [37]:…”

Section: Kinematical Equations Of the Cp Theorymentioning

confidence: 99%

Hybrid, Multiscale Numerical Simulations of the Equal Channel Angular Pressing (ECAP) using the Crystal Plasticity Theory

Wójcik

2023

Archives of Metallurgy and Materials

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Hybrid, Multiscale NuMerical siMulatioNs of tHe equal cHaNNel aNgular PressiNg (ecaP) usiNg tHe crystal Plasticity tHeoryThe FEM simulations of the EcAP including real conditions of the process -the friction between the metal extruded and the die walls, as well as, the channels rounding, were done here in two scales -macro-and micro-. The macroscopic analyses were done for isotopic material with a non-linear hardening using the UMAT user material procedure. The pure Lagrangian approach was applied here. The stress, strains and their increments, as well as, the deformation gradient tensor were recorded for selected finite elements in each calculation step. The displacements obtained in the macroscopic FEM analysis are then used as the kinematic input for the polycrystalline structure. The dislocation slip was included as the source of the plastic deformation here for the facecentered cubic structure. The results obtained with the use of the crystal plasticity show the heterogeneous distribution of stress and strain within the material associated with the grains anisotropy. The results in both micro-and macro-scales are coincident. The FEM analyses show the potential of the application of the crystal plasticity approach for solving elastic-plastic problems including the material forming processes.

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“…Assuming the kinematic hardening and the backstress associated with it, the shear rate might be rewritten as (Eq. 15) [37]:…”

Section: Kinematical Equations Of the Cp Theorymentioning

confidence: 99%

Hybrid, Multiscale Numerical Simulations of the Equal Channel Angular Pressing (ECAP) using the Crystal Plasticity Theory

Wójcik

2023

Archives of Metallurgy and Materials

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“…For FCC structure considered here, four sets of slip planes {111} and three close packed slip directions <110> in each plane are determined, which gives a combination of twelve slip systems (Weinberger, 2013). The plastic deformation caused by the slip occurs more easily in crystals which have higher number of the slip systems and which are located more favorably against the a load direction (Wójcik & Skrzat, 2022a).…”

Section: Introductionmentioning

confidence: 99%

Crystal Plasticity Elastic-Plastic Rate-Independent Numerical Analyses of Pollycrystalline Materials

Wójcik

Skrzat

Stachowicz

et al. 2023

AMME

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Macroscopic analyses of plastic forming processes give only the overall description of the problem without the consideration of mechanisms of plastic deformation and the microstructure evolution. For the consideration of these processes, numerical simulations within crystal plasticity include the change of texture, anisotropy, and strain hardening of the material are used. In this paper, a crystal plasticity rate-independent model proposed by Anand and Kothari is applied for numerical analyses of polycrystalline materials. The slip was considered as the main mechanism of the plastic deformation. Basic constitutive equations of crystal plasticity for large deformation theories are presented. The selected results of elastic-plastic problems obtained using both macro- and micro- scales software for the explicit and implicit integration are featured here. The heterogeneous distribution of strain and stress in different grains are obtained, which is associated with the various crystal orientation. The crystal plasticity modelling of materials subject to plastic deformation involves not only the information about the change of a material’s shape in a macro-scale, but also describes the phenomena occurring in material in a micro-scale.

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An Elastic-Plastic Analysis of Polycrystalline Structure Using Crystal Plasticity Modelling – Theory and Benchmark Tests

Cited by 2 publications

References 31 publications

Hybrid, Multiscale Numerical Simulations of the Equal Channel Angular Pressing (ECAP) using the Crystal Plasticity Theory

Hybrid, Multiscale Numerical Simulations of the Equal Channel Angular Pressing (ECAP) using the Crystal Plasticity Theory

Crystal Plasticity Elastic-Plastic Rate-Independent Numerical Analyses of Pollycrystalline Materials

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