I want to differentiate between four {111} slip traces in EBSD technique. In addition I want to calculate the Schmid factor for each of them separately.
Hello,
You can designate the different slip planes which are symmetrical identical,
here it is 111, -111, 1-11, 11-1 and so on.
But in case you want to define the slip system, say for fcc materials {111} then you know slip direction also which lies on that slip plane. For e.g in fcc metals for slip plane (111) different directions [1-10], [-110], [10-1], [-101], [01-1] and [0-11] are possible. Here which system will be active is selected based on maximum schmid factor.
To find Schmid factor in addition you also need to define crystal orientation and then calculate the angle between crystal orientation with slip plane and slip direction.
Based on maximum value of schmid factor, the slip system will become active.
Kulbir Singh
The Schmid factor calculation is part of ANY EBSD software since it is easy to calculate. Alternatively, you ca use software packages like MTEX or ATEX. Both are free. For MTEX you still need a Matlab licence and some experience in programming.
As written above, you need to know the glide plane and direction and need to calculate all equivalent combinations. K. Singh denotes the 4 planes (therr are no "and so on"...and the respective directions.
Most importantly: You need to define the loading direction. Without this direction all numbers are not worth the paper.
Dear Masoud,
Adding to the previous answers, the {111} planes are identical in the crystallographic sense. That is, there is no inherent difference between the (111) plane and the (1-11) plane. The difference comes only when you see how these planes are oriented relative to a given direction - here the loading axis. The (111) and (1-11) planes will (barring the trivial exceptions) make different angles with your loading axis, and hence have different Schmid factors (i.e. due to loading, not due to inherent property). This is why Prof. Nolze stresses the importance of loading direction.
Now, coming to your question, there are inbuilt tools available for determining Schmid factor and for determining the slip system using a visible slip trace from an EBSD map.
If you wish to know how these tools work, the principles are not very difficult to understand. It is reasonably easy to make these calculations yourself without readymade tools/software. I list two sources where this process is explained:
(1) For FCC materials: (Fig. 7 and related discussion) Article A micro-mechanism to explain the post-DRX grain growth at te...
(2) For HCP materials: (Section 3.2.6)
materials.iisc.ac.in/~dbanerjee/assets/thesis_arunima.pdf
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