Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 4.8, Problem 46AAP
To determine
Estimate the average grain diameter for the grain structure in Problem 4.44.
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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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- 4. Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is 70 GPa, and Poisson's ratio is 0.3. You may assume a simple cubic lattice for aluminum crystals. Compare your result with the measured yield strength of pure aluminum (~40 MPa), and explain the main cause of the difference.arrow_forward7. What is creep failure ? Draw and explain 3 stages of creep curve(Fig 6.32). Give equations for steady state creep rate. What dislocation mechanisms lead to creep. How is creep damage reduced/slowed downarrow_forwardStrength of metals and their alloys increases as grain size decreases. Find out the amount of increase in strength if total area of grain boundaries doublesarrow_forward
- 4.48 Determine the ASTM grain-size number if 30 grains per square inch are measured at a mag- nification of 250X.arrow_forward5.1 Calculate the dislocation spacing in a symmetrical tilt boundary (θ =0.5◦) in a copper crystal.arrow_forwardIs there any relationship between a crystal and a grain? justify your answer.arrow_forward
- 5. Consider a single crystal of some hypothetical metal that has the FCC crystal structure and is oriented such that a tensile stress is applied along a [102] direction. If slip occurs on a (111) plane and in a [101] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 3.42 MPa.arrow_forwardPlease describe in depth how grain size affects the mechanical properties of materials.arrow_forwardConsider dislocations in nickel. If the plastic flow stress is controlled by the stress necessary to operate a Frank-Read source, compute the dislocation density p in the crystal when it is deformed to a point where the resolved shear stress on the slip plane is 100 MPa.arrow_forward
- Determine the ASTM grain size number if 90 grains per square inch are measured at a magnification of 55×. In this problem, you are asked to find the ASTM grain size number given the number of grains per square inch and the magnification. Solve Equation 4.18 (below) for G.arrow_forward1. A dislocation is being extruded between small precipitate particles which lie in a row, each particle being a distance / from its neighbors. Determine the force acting on each particle as a function of the shear stress o applied on the slip plane of the dislocation parallel to the Burgers vector band estimate the maximum force that can be exerted on each particle.arrow_forwardA dislocation is anchored between two points 10 μm distant. For a metalwith b = 0.35 nm and G = 30 GPa, compute the shear stress necessary tobow the dislocation into a semicircle.arrow_forward
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