Corpus ID: 237572238

Elasto-plastic evolution of single crystals driven by dislocation flow

  title={Elasto-plastic evolution of single crystals driven by dislocation flow},
  author={Thomas Hudson and Filip Rindler},
This work introduces a model for large-strain, geometrically nonlinear elasto-plastic dynamics in single crystals. The key feature of our model is that the plastic dynamics are entirely driven by the movement of dislocations, that is, 1-dimensional topological defects in the crystal lattice. It is well known that glide motion of dislocations is the dominant microscopic mechanism for plastic deformation in many crystalline materials, most notably in metals. However, a comprehensive model linking… Expand

Figures from this paper


Energetic solutions to rate-independent large-strain elasto-plastic evolutions driven by discrete dislocation flow
This work rigorously implements a recent model, introduced in [34], of large-strain elasto-plastic evolution in single crystals where the plastic flow is driven by the movement of discreteExpand
Continuum modeling of dislocation plasticity: Theory, numerical implementation and comparison to discrete dislocation simulations
The development of advanced materials is driven by continuous progress in the synthesis and control of materials microstructure on sub-micrometer and nanometer scales. Confined to theseExpand
A two-speed model for finite-strain elasto-plasticity
This work presents a new modeling approach to macroscopic, polycrystalline elasto-plasticity starting from first principles and a few well-defined structural assumptions, incorporating the mildlyExpand
Continuum dislocation dynamics: Towards a physical theory of crystal plasticity
The plastic deformation of metals is the result of the motion and interaction of dislocations, line defects of the crystalline structure. Continuum models of plasticity, however, remain largelyExpand
Nonconvex energy minimization and dislocation structures in ductile single crystals
Plastically deformed crystals are often observed to develop intricate dislocation patterns such as the labyrinth, mosaic, fence and carpet structures. In this paper, such dislocation structures areExpand
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of F=FeFp
Abstract The plastic component of the deformation gradient plays a central role in finite kinematic models of plasticity. However, its characterization has been the source of extended debates in theExpand
Benefits and shortcomings of the continuous theory of dislocations
Abstract Out of the vast field of microstructural mechanical behaviour of solids, we choose the area of elastoplasticity of crystalline solids. It is emphasized that elastoplastic deformationExpand
Gradient theory for plasticity via homogenization of discrete dislocations
We deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal under study, soExpand
Discrete dislocation plasticity: a simple planar model
A method for solving small-strain plasticity problems with plastic flow represented by the collective motion of a large number of discrete dislocations is presented. The dislocations are modelled asExpand
Driving forces and boundary conditions in continuum dislocation mechanics
  • A. Acharya
  • Materials Science, Physics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2003
As a guide to constitutive specification, driving forces for dislocation velocity and nucleation rates are derived for a field theory of dislocation mechanics and crystal plasticity proposed inExpand