
Interpretation:
The inter planar spacing, the length of the Burgers
Concept Introduction:
The formula used is:
Here,

Answer to Problem 4.29P
The length of Burgers vector for slip system
The inter planar spacing for lip system of plane
The length of Burgers vector for slip system
The inter planar spacing for slip system of plane
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
Substituting as
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
Substitute
The length of Burgers vector for slip system
Here,
The lattice parameter
Substitute
The inter planar spacing for slip system of plane
Here, Miller indices of adjacent planes are
Substitute
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
Substitute
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:
Substitute
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 lip system of plane
The length of Burgers vector for slip system
The inter planar spacing for slip system of plane
The ratio of shear stresses required for two slip systems is
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Chapter 4 Solutions
Essentials of Materials Science and Engineering, SI Edition
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