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A dislocation-based model for twin growth within and across grains.

J T Lloyd1

  • 1US Army Research Laboratory, Aberdeen Proving Ground, MD 21005-5066, USA.

Proceedings. Mathematical, Physical, and Engineering Sciences
|March 7, 2018
PubMed
Summary

This study introduces a computational method to model crystal twins using dislocation statics. The model accurately predicts twin growth and transfer across grain boundaries, aligning with experimental data in magnesium.

Keywords:
dislocationsgrain boundariesmetal deformationplasticitytwinning

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Area of Science:

  • Materials Science
  • Computational Mechanics
  • Solid Mechanics

Background:

  • Crystal twinning is a key deformation mechanism in many materials.
  • Understanding twin evolution and intergranular transfer is crucial for predicting material behavior.
  • Existing models may not fully capture the complex physics of twinning.

Purpose of the Study:

  • To develop and validate a computational method for representing twins using dislocation statics.
  • To investigate the influence of grain size, external stress, and grain boundary characteristics on twin growth and transfer.
  • To compare computational predictions with experimental observations of extension twinning.

Main Methods:

  • A two-dimensional dislocation statics computational method was developed.
  • The method was used to simulate twin evolution under external shear stress.
  • Twin transfer across grain boundaries with varying misorientation angles was analyzed.
  • Results were compared with analytical approximations and experimental data from magnesium polycrystals.

Main Results:

  • Twin thickness shows a linear dependence on grain size and external stress.
  • Twin growth and transfer are significantly enhanced across low-misorientation grain boundaries.
  • Twin transfer is suppressed across high-misorientation grain boundaries.
  • The computational model's predictions align well with experimental measurements in magnesium.

Conclusions:

  • Representing twins via discrete dislocations offers a physically realistic approximation of twinning.
  • The developed method can be integrated into existing dislocation dynamics codes.
  • This approach provides a powerful tool for studying deformation mechanisms in crystalline materials.