Direct Crystal Elastoviscoplasticity Model: An Application to the Study of Single Crystal Deformation

Трусов, П. В.; Yanz, A. Yu.; Teplyakova, L. A.

doi:10.1134/s1029959919040039

Cited by 4 publications

(5 citation statements)

References 29 publications

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“…Further plastic deformation mostly localizes within narrow through-thickness regions evident on the surface as macroscopic bands of localized plastic strain (Figure 4b,c). We believe that this is the dynamic formulation of the BVP that enables reproducing the nonsymmetrical mode of single-crystal fragmentation, much similar to the experimental evidence, while the static problem ensures a symmetrical solution to the plastic strain distributions [22]. The wave effects unavoidable in dynamic simulations give rise to small perturbations of the local stress, strain, and kinematic fields.…”

Section: Perfect Plasticitymentioning

confidence: 52%

“…In accordance with the experimental observations [37,46,59] and theoretical predictions [17,32,60], the macroscale plastic strain localization in all single crystals is accompanied by relative shifts and rotations of crystal fragments. Analyzing the CPFEM simulation results, Trusov et al [22] highlight that due to inhomogeneous lattice rotation, the lattice of a single crystal becomes curved in some regions. Let us analyze the contribution of rotation in terms of Euler (Bunge) angles.…”

Section: Discussionmentioning

confidence: 99%

“…Bryhni Daehli et al [30] highlighted the inherent anisotropy of single crystals due to the discrete nature of the plastic slip. The extensive literature reveals a tendency of loaded single crystals towards strain localization and fragmentation [10,11,17,20,22,24,[31][32][33][34][35][36]. The former is related to the crystal's ability to accumulate slip in narrow band-like zones whose orientation is independent of the crystal lattice orientation [10,11,[36][37][38][39][40].…”

Section: Methodsmentioning

confidence: 99%

“…The BVP problem (1)-( 7) is solved numerically using an ABAQUS/Explicit FE software package (Dassault Systèmes, Velizi, France), where the constitutive model ( 8)-( 12) is implemented through a VUMAT User Subroutine. ABAQUS software is widely employed for numerical research of aluminum single crystals, including the analysis of hardness anisotropy [51], deformation behavior in simple compression [22] and multi-pass rolling [24], the validation of new CP lattice particle method [52], etc., although for the most part the static formulation of BVPs is considered.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…Khan et al [21] studied the strain rate and orientation effects on the deformation response of aluminum single crystals under uniaxial compression using a one-element CPFEM. Employing an elastoviscoplastic CPFE model, Trusov et al [22] demonstrated that a homogeneous single crystal subjected to uniaxial compression was divided into subvolumes characterized by different plastic shear rate intensities and lattice orientations. Considering 3D single crystals of different initial orientations, Schacht et al [23] showed that the growth and deformation of voids were closely related to crystal orientation.…”

Section: Introductionmentioning

confidence: 99%

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Mechanical Aspects of Nonhomogeneous Deformation of Aluminum Single Crystals under Compression along [100] and [110] Directions

Романова

Балохонов

Zinovieva

et al. 2022

Metals

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The deformation behavior of aluminum single crystals subjected to compression along the [100] and [110] directions is numerically examined in terms of crystal plasticity. A constitutive model taking into account slip geometry in face-centered cubic crystals is developed using experimental data for the single-crystal samples with lateral sides coplanar to certain crystal planes. Two sets of calculations are performed using ABAQUS/Explicit to examine the features of plastic strain evolution in perfectly plastic and strain-hardened crystals. Special attention is given to the discussion of mechanical aspects of crystal fragmentation. Several distinct deformation stages are revealed in the calculations. In the first stage, narrow solitary fronts of plastic deformation are alternately formed near the top or bottom surfaces and then propagate towards opposite ends to save the symmetry of the crystal shape. The strain rate within the fronts is an order of magnitude higher than the average strain rate. The first stage lasts longer in the strain-hardened crystals, eventually giving way to an intermediate stage of multiple slips in different crystal parts. Finally, the crystal shape becomes asymmetrical, but no pronounced macroscopic strain localization has been revealed at any deformation stage. The second stage in perfectly plastic crystals relates to abrupt strain localization within a through-thickness band-shaped region, accompanied by macroscale crystal fragmentation. Stress analysis has shown that pure compression took place only in the first deformation stage. Once the crystal shape has lost its symmetry, the compressive stress in some regions progressively decreases to zero and eventually turns tensile.

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Section: Perfect Plasticitymentioning

confidence: 52%