11 Sometimes coso cos A in Equation 7.2 is termed the Schmid factor. Determine the magnitude of the Schmid factor for an FCC single crystal oriented with its [120] direction parallel to the loading axis.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Exercise on Schmid Factor in Crystallography:**

**Problem Statement:**  
This physics problem is focused on understanding the concept of the Schmid factor in crystallography. The Schmid factor is defined as \(\cos \phi \cos \lambda\) in Equation 7.2. Your task is to determine the magnitude of the Schmid factor for a Face-Centered Cubic (FCC) single crystal that is oriented with its [120] crystallographic direction parallel to the loading axis.

**Objective:**  
To calculate the Schmid factor for the specific orientation given.

**Key Concepts:**

- **Schmid Factor:** It measures the ease with which a slip can occur on a particular crystallographic plane and direction. It depends on the orientation of the crystal.
  
- **FCC Single Crystal:** A common crystal structure where atoms are located at each corner and the center of all cube faces of the unit cell.

- **[120] Direction:** A specific crystallographic direction in the FCC lattice system.

For learners, it's crucial to understand the relationship between the crystal orientation, applied stress, and slip plane to determine how these factors influence material deformation through the Schmid factor.
Transcribed Image Text:**Exercise on Schmid Factor in Crystallography:** **Problem Statement:** This physics problem is focused on understanding the concept of the Schmid factor in crystallography. The Schmid factor is defined as \(\cos \phi \cos \lambda\) in Equation 7.2. Your task is to determine the magnitude of the Schmid factor for a Face-Centered Cubic (FCC) single crystal that is oriented with its [120] crystallographic direction parallel to the loading axis. **Objective:** To calculate the Schmid factor for the specific orientation given. **Key Concepts:** - **Schmid Factor:** It measures the ease with which a slip can occur on a particular crystallographic plane and direction. It depends on the orientation of the crystal. - **FCC Single Crystal:** A common crystal structure where atoms are located at each corner and the center of all cube faces of the unit cell. - **[120] Direction:** A specific crystallographic direction in the FCC lattice system. For learners, it's crucial to understand the relationship between the crystal orientation, applied stress, and slip plane to determine how these factors influence material deformation through the Schmid factor.
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