Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 4.8, Problem 61SEP
(a)
To determine
For a given application, you would need to select the metal with larger grain size between copper (n = 7) and mild steel (n = 4). Which one would you pick.
(b)
To determine
If strength is an important consideration, which alloy would you pick between copper and mild steel and why.
(c)
To determine
What if the application was at elevated temperatures; would your answer in part b change, and why.
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The lower yield point for a certain plain carbon steel bar is found to be 135 MPa, while a second bar of the same composition yields at 260 MPa. Metallographic analysis shows that the average grain diameter is 50 µm in the first bar and 8 µm in the second bar. Predict the grain diameter needed to cause a lower yield point of 205 MPa.
how does the following recrystallization percentage of metallic alloys after annealing is calculated?
Do noncrystalline or amorphous materials have grain boundaries? Why or why not?
Chapter 4 Solutions
Foundations of Materials Science and Engineering
Ch. 4.8 - Prob. 1KCPCh. 4.8 - Define the homogeneous nucleation process for the...Ch. 4.8 - In the solidification of a pure metal, what are...Ch. 4.8 - In the solidification of a metal, what is the...Ch. 4.8 - During solidification, how does the degree of...Ch. 4.8 - Distinguish between homogeneous and heterogeneous...Ch. 4.8 - Describe the grain structure of a metal ingot that...Ch. 4.8 - Distinguish between equiaxed and columnar grains...Ch. 4.8 - How can the grain size of a cast ingot be refined?...Ch. 4.8 - Prob. 10KCP
Ch. 4.8 - Prob. 11KCPCh. 4.8 - Prob. 12KCPCh. 4.8 - Distinguish between a substitutional solid...Ch. 4.8 - What are the conditions that are favorable for...Ch. 4.8 - Prob. 15KCPCh. 4.8 - Prob. 16KCPCh. 4.8 - Prob. 17KCPCh. 4.8 - Prob. 18KCPCh. 4.8 - Describe the structure of a grain boundary. Why...Ch. 4.8 - Describe and illustrate the following planar...Ch. 4.8 - Prob. 21KCPCh. 4.8 - Describe the optical metallography technique. What...Ch. 4.8 - Prob. 23KCPCh. 4.8 - Prob. 24KCPCh. 4.8 - Prob. 25KCPCh. 4.8 - Prob. 26KCPCh. 4.8 - Prob. 27KCPCh. 4.8 - Prob. 28KCPCh. 4.8 - Prob. 29KCPCh. 4.8 - Prob. 30KCPCh. 4.8 - Prob. 31KCPCh. 4.8 - Calculate the size (radius) of the critically...Ch. 4.8 - Prob. 33AAPCh. 4.8 - Prob. 34AAPCh. 4.8 - Calculate the number of atoms in a critically...Ch. 4.8 - Prob. 36AAPCh. 4.8 - Prob. 37AAPCh. 4.8 - Prob. 38AAPCh. 4.8 - Prob. 39AAPCh. 4.8 - Prob. 40AAPCh. 4.8 - Prob. 41AAPCh. 4.8 - Prob. 42AAPCh. 4.8 - Determine, by counting, the ASTM grain-size number...Ch. 4.8 - Prob. 44AAPCh. 4.8 - For the grain structure in Problem 4.43, estimate...Ch. 4.8 - Prob. 46AAPCh. 4.8 - Prob. 47SEPCh. 4.8 - Prob. 48SEPCh. 4.8 - Prob. 49SEPCh. 4.8 - Prob. 50SEPCh. 4.8 - In Chapter 3 (Example Problem 3.11), we calculated...Ch. 4.8 - Prob. 52SEPCh. 4.8 - Prob. 53SEPCh. 4.8 - Prob. 54SEPCh. 4.8 - Prob. 55SEPCh. 4.8 - Prob. 56SEPCh. 4.8 - Prob. 57SEPCh. 4.8 - Prob. 58SEPCh. 4.8 - Prob. 59SEPCh. 4.8 - Prob. 60SEPCh. 4.8 - Prob. 61SEPCh. 4.8 - Prob. 62SEPCh. 4.8 - Prob. 63SEPCh. 4.8 - Prob. 64SEPCh. 4.8 - Prob. 65SEPCh. 4.8 - Prob. 66SEP
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- What physical reasons why reducing grain size is an effective alternative for increasing the strength of a metal?arrow_forwardThe minimum yield strength for iron with an average grain size of 6x10^-2 mm is 135 MPa, this increases to 260 MPa when the average grain size is reduced to 8x10^-3 mm.What must the average grain size be to achieve a yield strength of 205 MPa.arrow_forwardA sample of an aluminum alloy has a tensile strength of 140 MPa,What will be the maximum force that can be withstood by a rod of thatalloy with a cross-sectional area of 1 cm2?arrow_forward
- How much heavier, on average, will an aluminum-alloy tennis racquet be if it is made from titanium alloy? Obtain a tennis racquet, and take appropriate measurements to perform your analysis.arrow_forwardThe yield strength for an alloy that has an average grain diameter of 4.1 × 10-2 mm is 131 MPa. At a grain diameter of 7.6 × 10-3 mm, the yield strength increases to 246 MPa. At what grain diameter, in mm, will the yield strength be 236 MPa?arrow_forwarda.) In the recrystallization stage of the single-phase metals, the recrystallization temperature increases when the purity of the metal__________ b.)What happens to the material strength when the dislocation density increases?____________ c.)In single-phase metals, as the percent cold works (%CW) increases, the recrystallization temperature_________arrow_forward
- 1) Give a brief explanation why the solubility of C is higher in y-iron than in alpha-iron. 2) Why must the samples be quenched rapidly to obtain high hardness?arrow_forwardAn uncold-worked brass specimen of average grain size 0.006 mm has a yield strength of 178 MPa. Estimate the yield strength of this alloy (in MPa) after it has been heated to 600°C for 1000 s, if it is known that the value of ky is 11 MPa-mm1/2. The Animated Figure 7.25 may be helpful. Attached is the question and the figure referenced.arrow_forwardExplain the differences in grain structure for a metal that has been cold worked and one that has been cold worked and then recrystallized.arrow_forward
- summarize the way in which fine_grain microstructures behave with regard to low temperature and room temperature strength and toughnesd.why not make all metals as small_grained as possible?arrow_forward(b) For the same bar, if the engineering strains are 0.05 and 0.10 at engineering stresses of 200 and 220 MPa respectively, what would be the work hardening exponent of pure aluminium?arrow_forwardDoes strain hardening aluminium increases the strength by reducing the number of dislocations? Why ?arrow_forward
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