10.23. Compute Neighbor Slip Transmission Metrics

Group (Subgroup)

Statistics (Crystallographic)

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:

  1. Get the average orientation of the Feature

  2. Get the Feature’s list of neighboring Features

  3. Get the average orientation of each neighboring Feature

  4. Calculate metrics given by equations in slip transmission metrics

  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.

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

Fracture Initiation Parameter F1spt

Fracture Initiation Parameter 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

[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.

Input Feature Data

Parameter Name

Parameter Type

Parameter Notes

Description

Average Quaternions

Array Selection

Allowed Types: float32 Comp. Shape: 4

Data Array that specifies the average orientation of each Feature as a quaternion

Feature Phases

Array Selection

Allowed Types: int32 Comp. Shape: 1

Data Array that specifies to which Ensemble each Feature belongs

Feature Neighbor List

NeighborListSelection

List of the contiguous neighboring Features for a given Feature

Input Ensemble Data

Parameter Name

Parameter Type

Parameter Notes

Description

Crystal Structures

Array Selection

Allowed Types: uint32 Comp. Shape: 1

Enumeration representing the crystal structure for each phase

Output Feature Data

Parameter Name

Parameter Type

Parameter Notes

Description

Luster-Morris M-Prime

DataObjectName

DataArray Name to store the calculated Luster-Morris Parameters

Fracture Initiation Parameter (F1)

DataObjectName

DataArray Name to store the calculated F1 Values

Fracture Initiation Parameter (F1spt)

DataObjectName

DataArray Name to store the calculated F1spt Values

Fracture Initiation Parameter (F7)

DataObjectName

DataArray Name to store the calculated F7 Values

Example Pipelines

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