The Science and Engineering of Materials (MindTap Course List)
7th Edition
ISBN: 9781305076761
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 4, Problem 4.50P
(a)
To determine
The constant in the Hall-petch equation.
(b)
To determine
The strength of the titanium for the given grain size.
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(b) The yield stress for a metal changes from 450 Nmm-2to 610 Nmm-2 when the average grain diameter decrease from 0.043 mm to 0.022 mm. Determine the yield stressfor the same metal with an average grain diameter of 0.030 mm.
In order to find out the effects of the grain sizes on the mechanical strength of a metal, three different grain sizes of 10 µm, 500 nm and 10 nm were produced. What will be the yield stresses of these same metals at different average grain sizes? The yield strength for a grain or reference point is 78 MPa, while the material proportional constant is 29.2 MPa-mm1/2.
The engineering yield strength of an alloy is 80 ksi.
Chapter 4 Solutions
The Science and Engineering of Materials (MindTap Course List)
Ch. 4 - Gold has 5.82108vacancies/cm3 at equilibrium at...Ch. 4 - Prob. 4.2PCh. 4 - Calculate the number of vacancies per cm3 expected...Ch. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Au and Ag form a substitutional solid solution....
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Write down the defect chemistry equation for...Ch. 4 - Prob. 4.20PCh. 4 - What is the Burger’s vector orientation...Ch. 4 - What is slip system and what role does it play in...Ch. 4 - Draw a Burgers circuit around the dislocation...Ch. 4 - What are the Miller indices of the slip...Ch. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Calculate the length of the Burgers vector in the...Ch. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - The crystal shown in Figure 4-19 contains two...Ch. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Why is it that single crystal and polycryst alline...Ch. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Determine the ASTM grain size number for the...Ch. 4 - Certain ceramics with special dielectric...Ch. 4 - Prob. 4.61PCh. 4 - Calculate the angle of a smalla ngle grain...Ch. 4 - For BCC iron, calculate the average distance...Ch. 4 - Every time we alloy a metal, it gets stronger. Is...Ch. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Prob. 4.75DPCh. 4 - You would like a metal plate with good...Ch. 4 - Prob. 4.77DPCh. 4 - Temperature dependence of vacancy conc enlralwns....Ch. 4 - Prob. 4.79CPCh. 4 - Prob. 4.80CPCh. 4 - Describe the problems associated with metal...Ch. 4 - Prob. 4.2KP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- In an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation? Select one: a.120.5 MPa, no b.140.5, no c.129.5, yes d.123.5 MPa, yes e.133.5 MPa, yesarrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation?arrow_forwardFrom the grain distribution curve, D60 = 1.45 mm, D30 = 0.75 mm and D10 = 0.45 mm. Determine the uniformity coefficient.arrow_forward
- As the impurity concentration (in solid solution) of a metal is increased, the tensile and yield strengths A)increase B)decreasearrow_forwardConsider the tensile stress-strain diagram below. If samples 1 and 2 are identical except for the grain size, which sample has smaller grains? Note: This question will be marked negatively so consider your answer carefully. A. The samples have the same grain size B. Sample 1 C. Sample 2arrow_forwardPlease show how the value of b was calculated Calculate the dislocation density in tungsten if the stress is controlled by the stress necessary to operate a Frank-Read source. The stress in the plane is 31 Mpa. Take G = 275 Gpaarrow_forward
- The force of attraction between a divalent cation and a monovalent anion is 8.02x10-9 N. If the ionic radius of the cation is 0.060 nm, (q=1.6x10-19 C, k0=9x109 V∙m/C). What is the anion radius?arrow_forward1. Determine working stresses for the two alloys that have the stress–strain behaviors shown in Figures 6.22.arrow_forwardThe 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.arrow_forward
- 3. Why are dislocations not considered thermodynamic equilibrium defects like vacancies? Explain by describing the relative interplay between entropy and enthalpy affecting the Gibbs free energy of the dislocations-containing material system.arrow_forwardThe mechanical properties of cobalt may be improved by incorporating fine particles of tungsten carbide (WC). Given that the modulus of elasticity of these materials is 200 GPa and 700 GP, respectively. Plot modulus of elasticity versus the volume percent of WC in Co from 0 to 100 vol%, using both upper- and lower-bound expressions. And explain what you have plotted.arrow_forwardA cylindrical specimen of a brass alloy having a length of 104 mm (4.094 in.) must elongate only 5.20 mm (0.2047 in.) when a tensile load of 95000 N (21360 lbf) is applied. Under these circumstances what must be the radius of the specimen? Consider this brass alloy to have the stress-strain behavior shown in the Animated Figure 7.12.arrow_forward
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