
(a)
Interpretation:
The value of true strain for extrusion of diameter ranging from
Concept Introduction:
The relationship between true strain and area is given by:

Answer to Problem 8.27P
Value of true strain for the diameter ranging from
Value of true strain for the diameter ranging between is
Explanation of Solution
Initial diameter
Final diameter
The above formula to be used for the calculation of true strain as given in the question is the value of initial diameter, that is,
On substituting the value of area in the equation of true strain:
On solving:
Now on substituting the value of initial diameter and final diameter:
If the diameter is changing from
Initial Diameter
Final Diameter
The values of area based on diameter is given below in the form of formula
On inserting the values in terms of diameter
Value of true strain for the diameter ranging from
Value of true strain for the diameter ranging between is
(b)
Interpretation:
The value of true strain for each given condition is to be determined. Also, the comparison of true strain for each step is to be explained
Concept Introduction:
The relationship between true strain and area is given by

Answer to Problem 8.27P
Value of true strain for the diameter ranging from
The value of true strain is
Explanation of Solution
The above formula to be used for determination of true strainis given as
Initial Diameter
Final Diameter
On inserting the values of initial and final diameter:
The value of true strain is
Sum of the true strain of diameter ranging from
On comparing the sum of true strain the value remains the same for diameter ranging from
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Chapter 8 Solutions
Essentials of Materials Science and Engineering, SI Edition
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