<commit_before>﻿Strain Transfer Across Grain Boundaries
=======================================

.. include:: includes.rst

The strain transfer across grain boundaries can be defined by the four following mechanisms (see :numref:`sutton_balluffi`) [#LimRaj_1985_1]_, [#SuttonBalluffi_1995]_, [#Zaefferer_2003]_ and [#Priester_2013]_ :

 1) direct transmission with slip systems having the same Burgers vector, and the grain boundary is transparent to dislocations (no strengthening effect) (:numref:`sutton_balluffi`-a);

 2) direct transmission, but slip systems have different Burgers vector (leaving a residual boundary dislocations) (:numref:`sutton_balluffi`-b);

 3) indirect transmission, and slip systems have different Burgers vector (leaving a residual boundary dislocations) (:numref:`sutton_balluffi`-c);

 4) no transmission and the grain boundary acts as an impenetrable boundary, which implies stress accumulations, localized rotations, pile-up of dislocations... (:numref:`sutton_balluffi`-d).

.. figure:: ./_pictures/schemes_slip_transmission/slip_transfer.png
   :name: sutton_balluffi
   :scale: 40 %
   :align: center
   
   *Possible strain transfer across grain boundaries (GB) from Sutton and Balluffi.*
       
Several authors proposed slip transfer parameters from modellings or experiments for the last 60 years.
A non-exhaustive list of those criteria is given in the next part of this work, including geometrical parameter,
stress and energetic functions, and recent combinations of the previous parameters.

.. note::
    Most of the time, following criteria are used to quantify slip transmission across grain boundaries in monophasic bicrystals.
	But in case of bimetal interfaces, it sounds that stress-based criteria are more relevant than
	geometrical criteria, given much higher stresses required for for slip transmission [#Hunter_2017]_ .

Geometrical Criteria<commit_msg>debugged doc syntax<commit_after>﻿Strain Transfer Across Grain Boundaries
=======================================

.. include:: includes.rst

The strain transfer across grain boundaries can be defined by the four following mechanisms (see :numref:`sutton_balluffi`) [#LimRaj_1985_1]_, [#SuttonBalluffi_1995]_, [#Zaefferer_2003]_ and [#Priester_2013]_ :

 1) direct transmission with slip systems having the same Burgers vector, and the grain boundary is transparent to dislocations (no strengthening effect) (:numref:`sutton_balluffi`-a);

 2) direct transmission, but slip systems have different Burgers vector (leaving a residual boundary dislocations) (:numref:`sutton_balluffi`-b);

 3) indirect transmission, and slip systems have different Burgers vector (leaving a residual boundary dislocations) (:numref:`sutton_balluffi`-c);

 4) no transmission and the grain boundary acts as an impenetrable boundary, which implies stress accumulations, localized rotations, pile-up of dislocations... (:numref:`sutton_balluffi`-d).

.. figure:: ./_pictures/schemes_slip_transmission/slip_transfer.png
   :name: sutton_balluffi
   :scale: 40 %
   :align: center
   
   *Possible strain transfer across grain boundaries (GB) from Sutton and Balluffi.*
       
Several authors proposed slip transfer parameters from modellings or experiments for the last 60 years.
A non-exhaustive list of those criteria is given in the next part of this work, including geometrical parameter,
stress and energetic functions, and recent combinations of the previous parameters.

.. note::
    Most of the time, following criteria are used to quantify slip transmission across grain boundaries in monophasic bicrystals. But in case of bimetal interfaces, it sounds that stress-based criteria are more relevant than geometrical criteria, given much higher stresses required for for slip transmission [#Hunter_2017]_ .

Geometrical Criteria
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