class pd3::precipitate::Precipitate
Class to apply given system conditions and manipulate a given system. For a given alloy we can expect dislocation interactions of the following flow chart:
digraph precipitates {
label="Flowchart for Da + aB partials states in a precipitate.";
rankdir=LR;
size="8,5"
node[shape="diamond", style=""]; "Leading\nOrder"; combines;
node[shape="box"] flip; combine; combined;
Disassociates;
"trailing\ninteracts"; node [shape = doublecircle]; node [shape =
circle];
Partials -> "Shear" [ label = "SF/APB" ];
Partials -> Bow [ label = "SF/X" ];
Bow -> "Wrap\nAround" [ label = "SF/X" ];
Bow -> Perfect [ label = "SF/X" ];
Bow -> "Leading\nPartial\nEscapes" [ label = "SF/X" ];
Perfect -> Disassociates;
Disassociates -> "Leading\nShear" [ label = "SF/CF" ];
"Shear" -> "combines" [ label = "both shear" ];
"Shear" -> "Leading\nShear" [ label = "single shear" ];
"combines" -> "APB\nleft" [ label = "yes" ];
"combines" -> "Leading\nOrder" [ label = "no" ];
"Leading\nOrder" -> flip [ label = "B \alpha" ];
"Leading\nOrder" -> combine [ label = "\alpha D" ];
combine -> "Ca +\n2Da" [ label = "SESF" ];
flip -> "aC +\n2aD" [ label = "SISF" ];
"Leading\nShear" -> "Da=\naD+\n2Da" [ label = "SF/SESF" ];
"Da=\naD+\n2Da" -> "trailing\ninteracts"
"trailing\ninteracts" -> "Ca +\n2Da" [ label = "SESF" ];
edge [color=red]; // so is this
"APB\nleft" -> "Partials\nfollows" [ label = "SISF/SISF/APB" ];
"Partials\nfollows" -> "combined"
"combined" -> "Super\nDisloc." [ label = "X" ];
"combined" -> "Super\nPartials" [ label = "SISF" ];
}
Here, we note that circles represent a given state of the system, while blocks denote a potential change. Where the resulting stacking faults come from theory of atomic reordering. A single plane for shearing can be expressed in a truncated Fourier series as seen below: 
Summary
| Members |
Descriptions |
autoresolve_interaction(const System_ &, const Eigen::Matrix3d &, const State_ &) |
Resolve the entire state. |
autoresolve_interaction(const System_ &, const Eigen::Matrix3d &, const State_ &, const Node_ &) |
Resolve for a given node. |
automaybe_mark(const Node_ &) |
On state reconstruction, mark a node if it's in the precipitate. |
Members
resolve_interaction
auto resolve_interaction(const System_ &, const Eigen::Matrix3d & stress, const State_ &)
Resolve the entire state.
resolve_interaction
auto resolve_interaction(const System_ &, const Eigen::Matrix3d & stress, const State_ &, const Node_ &)
Resolve for a given node.
maybe_mark
auto maybe_mark(const Node_ &)
On state reconstruction, mark a node if it's in the precipitate.