Interpretation:
The interplanar spacing, the length of the Burgers
Concept introduction:
The formula used is:
Here,
Answer to Problem 4.28P
The length of Burgers vector for slip system
The inter planar spacing for slip system of plane
The length of Burgers vector for slip systems
The inter planar spacing for slip system of plane
The ratio between the interplanar spacing and length of Burgers vector of the slip system
The ratio between the interplanar spacing and length of Burgers vector of the slip system
The ratio of shear stresses required for two slip systems is
Explanation of Solution
Plane:
The length of Burgers vector for slip system
Here,
The lattice parameter
Substitute
Hence, the length of Burgers vector for slip system
The inter planar spacing for slip system of plane
Here, Miller indices of adjacent planes are
Substituting
Hence, the inter planar spacing for slip system of plane
The length of Burgers vector for slip system
Here,
The lattice parameter
Substituting
Hence, the length of Burgers vector for slip systems
The inter planar spacing for slip system of plane
Here, Miller indices of adjacent planes are
Substituting
Hence, the inter planar spacing for slip system of plane
The ratio between the inter planar spacing and length of Burgers vector for slip system of
Substituting
The ratio between the inter planar spacing and length of Burgers vector for slip system of
Substitute
The ratio of shear stresses required for two slip system is calculated as:
Substituting
Hence, the ratio of shear stresses required for two slip systems is
The length of Burgers vector for slip system
The inter planar spacing for slip system of plane
The length of Burgers vector for slip systems
The inter planar spacing for slip system of plane
The ratio between the interplanar spacing and length of Burgers vector of the slip system
The ratio between the interplanar spacing and length of Burgers vector of the slip system
The ratio of shear stresses required for two slip systems is
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