Is crystal plasticity non-conservative? Lessons from large deformation continuum dislocation theory

Hochrainer, Thomas; Weger, Benedikt

doi:10.1016/j.jmps.2020.103957

Cited by 9 publications

(3 citation statements)

References 60 publications

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“…The volume of an element in the plastic deformation phase does not change for metals with a crystalline structure [25]. The initial volume of the shell element is calculated as a multiplication of its characteristic lengths, as indicated in Figure 17: radial length l r , circumferential length l c and thickness t:…”

Section: Relationship Between the Number Of Peaks And The Amplitudementioning

confidence: 99%

Effect of Intermediate Path on Post-Wrinkle Initiation of the Multi-Pass Metal Spinning Process: Analysis in the Rotating Reference Frame

Nguyen,

Champliaud,

2024

JMMP

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The metal spinning process has been observed in recent major investigations carried out using finite element analysis. One interesting idea has proposed simulating a rotating disc for the simulation of the metal spinning process to reduce computational time. The development of this concept is presented in this paper, including the formal mathematical transformation from the inertial frame to the rotating reference frame, specific FEM configurations with mesh sizes based on a minimized aspect ratio, a mesh convergence study, and the application of a feed rate scale. Furthermore, in the context of the rotating reference frame, the flange geometry after wrinkle initiation is investigated, including the number of peaks and their amplitudes. Using this new approach, it was found that the number of peaks gradually increases from two to eight peaks while their amplitude decreases. In the case of severe wrinkles, the number of peaks stays at four while the amplitude increases dramatically. The intermediate path proves capable of increasing the number of peaks while maintaining a low amplitude. These results will make it possible to design new paths, facilitating the production of defect-free spun parts.

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Section: Relationship Between the Number Of Peaks And The Amplitudementioning

confidence: 99%

Effect of Intermediate Path on Post-Wrinkle Initiation of the Multi-Pass Metal Spinning Process: Analysis in the Rotating Reference Frame

Nguyen,

Champliaud,

2024

JMMP

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“…Recently, the work done by Hochrainer (2020) showed the vacancy generation by considering the non-conservative motion of dislocations in the CDD framework.…”

Section: Introductionmentioning

confidence: 99%

Incorporating point defect generation due to jog formation into the vector density-based continuum dislocation dynamics approach

Lin

Vivekanandan

Anglin³

et al. 2021

Journal of the Mechanics and Physics of Solids

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“…It is well known, however, that crystal plasticity micro-mechanisms involve the presence and evolution of concentrations of lattice defects with associated volume strain [2][3][4][5][6]. The proper inclusion of such volume changes in dislocation-based continuum crystal plasticity theories has recently roused interest [7]. The last reference is mainly motivated by the implications of plastic volume changes associated with point defects (mainly, vacancies and their clusters); however, volume changes are associated to practically all defects of the crystal lattice besides vacancies, vacancy clusters or interstitials (dislocations, grain boundaries, etc.).…”

Section: Introductionmentioning

confidence: 99%

Plastically-Induced Volume Deformation of Nanocrystalline α-Fe with a <110> Columnar Structure

Sevillano

Aldazabal

Aldazábal

2020

Metals

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Volume changes accompanying the plastic deformation at 300 K of nanocrystalline samples of α-Fe with a columnar grain structure possessing a ⟨11¯0⟩ random fiber texture has been obtained from molecular dynamics (MD) simulations. The samples were strained in tension along the common axial direction of the columnar grains. After removal of the elastic volume change, the evolution of plastic volume strain was obtained. Small but non-negligible volume dilations or contractions are observed depending on size (samples of very small grain size show volume contraction). The rate of volume change is high during the first 10% plastic deformation and continues at a low pace thereafter; the first 10% deformation represents a transient in the stress–strain behavior too. The complex behavior observed is reasonably explained by the superposition of contributions from different plastically-induced structural changes to the mass density change: Mainly from changes of grain size, grain boundary structure, dislocation density and density of point-defects. The results are of interest for the development of crystal plasticity theories not restricted by the volume conserving assumption.

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Is crystal plasticity non-conservative? Lessons from large deformation continuum dislocation theory

Cited by 9 publications

References 60 publications

Effect of Intermediate Path on Post-Wrinkle Initiation of the Multi-Pass Metal Spinning Process: Analysis in the Rotating Reference Frame

Effect of Intermediate Path on Post-Wrinkle Initiation of the Multi-Pass Metal Spinning Process: Analysis in the Rotating Reference Frame

Incorporating point defect generation due to jog formation into the vector density-based continuum dislocation dynamics approach

Plastically-Induced Volume Deformation of Nanocrystalline α-Fe with a <110> Columnar Structure

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