Theoretical development of continuum dislocation dynamics for finite-deformation crystal plasticity at the mesoscale

2020 ◽  
Vol 139 ◽  
pp. 103926 ◽  
Author(s):  
Kyle Starkey ◽  
Grethe Winther ◽  
Anter El-Azab
Keyword(s):  
Crystal Plasticity ◽  
Finite Deformation ◽  
Dislocation Dynamics ◽  
Theoretical Development ◽  
Continuum Dislocation Dynamics

Numerical Implementation of Continuum Dislocation Dynamics with the Discontinuous-Galerkin Method.

2014 ◽  
Vol 1651 ◽  
Author(s):  
Alireza Ebrahimi ◽  
Mehran Monavari ◽  
Thomas Hochrainer
Keyword(s):  
Discontinuous Galerkin ◽  
Crystal Plasticity ◽  
Evolution Equations ◽  
Total Curvature ◽  
Time Integration ◽  
Three Dimensional ◽  
Conserved Quantity ◽  
Dislocation Dynamics ◽  
Slip Systems ◽  
Continuum Dislocation Dynamics

ABSTRACTIn the current paper we modify the evolution equations of the simplified continuum dislocation dynamics theory presented in [T. Hochrainer, S. Sandfeld, M. Zaiser, P. Gumbsch, Continuum dislocation dynamics: Towards a physical theory of crystal plasticity. J. Mech. Phys. Solids. (in print)] to account for the nature of the so-called curvature density as a conserved quantity. The derived evolution equations define a dislocation flux based crystal plasticity law, which we present in a fully three-dimensional form. Because the total curvature is a conserved quantity in the theory the time integration of the equations benefit from using conservative numerical schemes. We present a discontinuous Galerkin implementation for integrating the time evolution of the dislocation state and show that this allows simulating the evolution of a single dislocation loop as well as of a distributed loop density on different slip systems.

Continuum dislocation dynamics: Towards a physical theory of crystal plasticity

2014 ◽  
Vol 63 ◽  
pp. 167-178 ◽  
Author(s):  
Thomas Hochrainer ◽  
Stefan Sandfeld ◽  
Michael Zaiser ◽  
Peter Gumbsch
Keyword(s):  
Crystal Plasticity ◽  
Physical Theory ◽  
Dislocation Dynamics ◽  
Continuum Dislocation Dynamics

Continuum dislocation dynamics-based grain fragmentation modeling

2019 ◽  
Vol 114 ◽  
pp. 252-271 ◽  
Author(s):  
A.H. Kobaissy ◽  
G. Ayoub ◽  
L.S. Toth ◽  
S. Mustapha ◽  
M. Shehadeh
Keyword(s):  
Dislocation Dynamics ◽  
Grain Fragmentation ◽  
Continuum Dislocation Dynamics

Multiscale modeling of plasticity in a copper single crystal deformed at high strain rates

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Sagar Chandra ◽  
M. K. Samal ◽  
V. M. Chavan ◽  
R. J. Patel
Keyword(s):  
Single Crystal ◽  
Multiscale Modeling ◽  
Crystal Plasticity ◽  
Mechanical Response ◽  
Md Simulations ◽  
Dislocation Dynamics ◽  
Copper Single Crystal ◽  
Deformation Response ◽  
Discrete Dislocation ◽  
Dynamics Simulations

AbstractA hierarchical multiscale modeling approach is presented to predict the mechanical response of dynamically deformed (1100 s−1−4500 s−1) copper single crystal in two different crystallographic orientations.Anattempt has been made to bridge the gap between nano-, micro- and meso- scales. In view of this, Molecular Dynamics (MD) simulations at nanoscale are performed to quantify the drag coefficient for dislocations which has been exploited in Dislocation Dynamics (DD) regime at the microscale. Discrete dislocation dynamics simulations are then performed to calculate the hardening parameters required by the physics based Crystal Plasticity (CP) model at the mesoscale. The crystal plasticity model employed is based on thermally activated theory for plastic flow. Crystal plasticity simulations are performed to quantify the mechanical response of the copper single crystal in terms of stressstrain curves and shape changes under dynamic loading. The deformation response obtained from CP simulations is in good agreement with the experimental data.

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