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DOC: FindSlipTransmissionMetrics and FindBoundaryStrengths updated wi…
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…th citations

Signed-off-by: Michael Jackson <[email protected]>
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imikejackson committed May 23, 2024
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# Find Feature Boundary Strength Metrics #


## Group (Subgroup) ##

Statistics (Crystallographic)

## Description ##

**THIS FILTER ONLY WORKS ON Cubic m-3m LAUE CLASSES**

This **Filter** calculates the same metrics as in the [Find Neighbor Slip Transmission Metrics](FindSlipTransmissionMetrics.html "") **Filter**. However, this **Filter** stores the values in the **Face Attribute Matrix** of a **Triangle Geometry**. The algorithm the **Filter** uses is as follows:

1. Find the two **Features** that are separated by a **Face** in the **Triangle Geometry**
Expand All @@ -15,7 +16,28 @@ This **Filter** calculates the same metrics as in the [Find Neighbor Slip Transm
4. Store the metrics in the **Face** map
5. Repeat for all **Faces**

*Note:* Each metric is calculated twice for the two different directions slip could approach the boundary. The values are stored on each **Face** in the **Face** map in a way that notes the direction (i.e., when **Feature** 1 has neighbor **Feature** 2 and when **Feature** 2 has neighbor **Feature** 1) because the direction across the boundary between the **Features** affects the value of the metric.
*Note:* Each metric is calculated twice for the two different directions slip could approach the boundary. The values are stored on each **Face** in the **Face** map in a way that notes the direction (i.e., when **Feature** 1 has neighbor **Feature** 2 and when **Feature** 2 has neighbor **Feature** 1) because the direction across the boundary between the **Features** affects the value of the metric.

## Luster-Morris Parameter (M' Values)

The values are calculated as presented in [1].

## Fracture Initiation Parameter (fip)

Three (3) *fip* values are computed as outputs to this filter. These are best explained in [2], see page 021012-4

![Fracture Initiation Parameter F1](Images/ComputeNeighborSlipTransmission_F1.png)

![Fracture Initiation Parameter F1spt](Images/ComputeNeighborSlipTransmission_F1spt.png)

![Fracture Initiation Parameter F7.png](Images/ComputeNeighborSlipTransmission_F7.png)


## Citations

[1] [Luster, J., Morris, M.A., 1995. *Compatibility Of Deformation In Two-Phase Ti-Al Alloys: Dependence On Microstructure And Orientation Relationships*. **Metallurgical and Materials Transactions A 26, 1745**](https://link.springer.com/article/10.1007/BF02670762)

[2] [D. Kumar, T. R. Bieler, P. Eisenlohr, D. E. Mason, M. A. Crimp, F. Roters, and D. Raabe. On Predicting Nucleation of Microcracks Due to Slip Twin Interactions at Grain Boundaries in Duplex Near γ-TiAl. Journal of Engineering Materials and Technology, 130(2):021012–12, 2008. doi:10.1115/1.2841620.](https://doi.org/10.1115/1.2841620)

## Parameters ##

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# Find Neighbor Slip Transmission Metrics #


## Group (Subgroup) ##
## Group (Subgroup)

Statistics (Crystallographic)

## Description ##
## Description

**THIS FILTER ONLY WORKS ON Cubic m-3m LAUE CLASSES**

This **Filter** calculates a suite of *slip transmission metrics* that are related to the alignment of slip directions and planes across **Feature** boundaries. The algorithm for calculation of these metrics is as follows:
This **Filter** calculates a suite of *slip transmission metrics* that are related to the alignment of slip directions and planes across **Feature** boundaries. The algorithm for calculation of these metrics is as follows:

1. Get the average orientation of the **Feature**
2. Get the **Feature**'s list of neighboring **Features**
Expand All @@ -16,8 +17,28 @@ This **Filter** calculates a suite of *slip transmission metrics* that are relat
5. Store metrics in lists for the **Feature**
6. Repeat for all **Features**

*Note:* The transmission metrics are calculated using the average orientations for neighboring **Features** and not the local orientation near the boundary. Also, the metrics are calculated twice (i.e., when **Feature** 1 has neighbor **Feature** 2 and when **Feature** 2 has neighbor **Feature** 1) because the direction across the boundary between the **Features** affects the value of the metric.

*Note:* The transmission metrics are calculated using the average orientations for neighboring **Features** and not the local orientation near the boundary. Also, the metrics are calculated twice (i.e., when **Feature** 1 has neighbor **Feature** 2 and when **Feature** 2 has neighbor **Feature** 1) because the direction across the boundary between the **Features** affects the value of the metric.

## Luster-Morris Parameter (M' Values)

The values are calculated as presented in [1].

## Fracture Initiation Parameter (fip)

Three (3) *fip* values are computed as outputs to this filter. These are best explained in [2], see page 021012-4

![Fracture Initiation Parameter F1](Images/ComputeNeighborSlipTransmission_F1.png)

![Fracture Initiation Parameter F1spt](Images/ComputeNeighborSlipTransmission_F1spt.png)

![Fracture Initiation Parameter F7.png](Images/ComputeNeighborSlipTransmission_F7.png)


## Citations

[1] [Luster, J., Morris, M.A., 1995. *Compatibility Of Deformation In Two-Phase Ti-Al Alloys: Dependence On Microstructure And Orientation Relationships*. **Metallurgical and Materials Transactions A 26, 1745**](https://link.springer.com/article/10.1007/BF02670762)

[2] [D. Kumar, T. R. Bieler, P. Eisenlohr, D. E. Mason, M. A. Crimp, F. Roters, and D. Raabe. On Predicting Nucleation of Microcracks Due to Slip Twin Interactions at Grain Boundaries in Duplex Near γ-TiAl. Journal of Engineering Materials and Technology, 130(2):021012–12, 2008. doi:10.1115/1.2841620.](https://doi.org/10.1115/1.2841620)
## Parameters ##

None
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