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Question 5.3: (a) Compare interstitial and vacancy atomic mechanisms for diffusion.
(b) Cite two reasons why interstitial diffusion is normally more rapid than vacancy diffusion.
Solution of 5.3:
(a)
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Question 4.1: Calculate the fraction of atom sites that are vacant for lead at its melting temperature of 327C (600
K). Assume an energy for vacancy formation of 0.55 eV/atom.
Solution of 4.1:
In ord
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FAILURE (Chapter 8)
PROBLEM SOLUTIONS
Principles of Fracture Mechanics
8.1 What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius
of curvature of 2.5
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Question 10.2: (a) Rewrite the expression for the total free energy change for nucleation (Equation 10.1) for
the case of a cubic nucleus of edge length a (instead of a sphere of radius r). Now diffe
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DISLOCATIONS AND STRENGTHENING MECHANISMS
7.6 (a) Compare planar densities (Section 3.11 and Problem 3.54) for the (100), (110), and (111) planes for FCC.
(b) Compare planar densities (Problem 3.55)
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12.14 Magnesium oxide has the rock salt crystal structure and a density of 3.58 g/cm3.
(a) Determine the unit cell edge length.
(b) How does this result compare with the edge length as determined fro
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Question 9.1 Consider the sugarwater phase diagram of Figure 9.1.
(a) How much sugar will dissolve in 1500 g water at 90C (194F)?
(b) If the saturated liquid solution in part (a) is cooled to 20C (68
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Question 6.3: A specimen of aluminum having a rectangular cross section 10 mm 12.7
mm (0.4 in. 0.5 in.) is pulled in tension with 35,500 N (8000 lbf) force, producing only
elastic deformation. Calcul
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Question 3.5: Show that the atomic packing factor for BCC is 0.68.
Solution of 3.5:
The atomic packing factor is defined as the ratio of sphere volume to the total unit cell volume, or
V
APF = S
VC
S
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Question 2.14: The net potential energy between two adjacent ions, EN, may be represented by the sum of
Equations 2.8 and 2.9; that is,
EN =
A
B
n
r
r
Calculate the bonding energy E0 in terms of the