Compute the theoretical shear stress in order to have a slippage of two atomicplanes relative to each other

To compute the theoretical shear stress (τ) for slippage of two atomic planes relative to each other, you can use the formula:

τ = Gb/L

Where:

• G is the shear modulus of the material,
• b is the Burgers vector (which represents the magnitude and direction of lattice distortion resulting from a dislocation), and
• L is the interatomic spacing (the distance between the two atomic planes).

Here are the steps to compute the theoretical shear stress:

1. Determine the shear modulus (G) of the material. This is a property of the material and can be found in material property tables.

2. Determine the Burgers vector (b). This is typically given or can be determined from the crystal structure of the material.

3. Determine the interatomic spacing (L). This can be found from the crystal structure of the material.

4. Substitute the values of G, b, and L into the formula τ = Gb/L to compute the theoretical shear stress.

Please note that this is a simplified model and actual shear stress can be influenced by other factors such as the presence of defects in the material, the applied stress direction relative to the crystallographic direction, and the temperature.