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 6, Problem 6.9P
To determine
Viscoelastic material.
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Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three
consecutive timesteps.
1.0
0.8-
0.6
0.4-
0.2
0.0
00
-0.2
-0.4
-0.6-
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
Figure 3: Advection equation, solution for three different timesteps.
Question 2
Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three
consecutive timesteps.
1.0
0.8-
0.6-
0.4-
0.2-
0.0-
-0.2-
-0.4-
-0.6
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
Figure 3: Advection equation, solution for three different timesteps.
a) Provide an explanation what conditions and numerical setup could explain the curves. Identify
which of the three curves is the first, second and third timestep.
b) Consider explicit schemes with central and upwind discretisations. Explain how each of these
candidate discretisations could produce the behaviour shown in Figure 3.
c) Determine the CFL number that was used in the simulation for each of the candidate schemes for
all possible updates.
Assume that the timestep and mesh-width used are constant. Read the data to two digits of
accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3.
Demonstrate your method and input data for one calculation, but then use a…
Chapter 6 Solutions
The Science and Engineering of Materials (MindTap Course List)
Ch. 6 - Explain the role of mechanical properties in...Ch. 6 - Prob. 6.2PCh. 6 - Explain the importance of understanding mechanical...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10P
Ch. 6 - Prob. 6.11PCh. 6 - Draw a schematic diagram showing the development...Ch. 6 - Draw qualitative engineering stress-engineering...Ch. 6 - Prob. 6.14PCh. 6 - A cylindrical specimen of a titanium alloy having...Ch. 6 - A material with a diameter of 8 mm is pulled with...Ch. 6 - Prob. 6.17PCh. 6 - An 850-lb force is applied to a 0.15-in.diameter...Ch. 6 - A force of 100,000 N is applied to an iron bar...Ch. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - Prob. 6.26PCh. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - A force of 4000 lbs is applied to a cylindrical...Ch. 6 - A cylindrical bar of steel, 10 mm in diameter, is...Ch. 6 - Prob. 6.34PCh. 6 - A standard 0.505-in.-diameter tensile bar was...Ch. 6 - A specimen of an AISI-SAE type 416 stainless steel...Ch. 6 - The following data were collected from a test...Ch. 6 - The following data were collected from a standard...Ch. 6 - Prob. 6.39PCh. 6 - The following data were collected from a...Ch. 6 - The following data were collected from a...Ch. 6 - Consider the tensile stress strain diagrams in...Ch. 6 - Prob. 6.43PCh. 6 - Why is it that we often conduct a bend test on...Ch. 6 - Prob. 6.45PCh. 6 - A bar of Al2O3 that is 0.25 in. thick, 0.5 in....Ch. 6 - A three-point bend test is performed on a block of...Ch. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Dislocations have a major effect on the plastic...Ch. 6 - Prob. 6.52PCh. 6 - Prob. 6.53PCh. 6 - Prob. 6.54PCh. 6 - Prob. 6.55PCh. 6 - Explain the terms “macrohardness” and...Ch. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - Prob. 6.59PCh. 6 - Prob. 6.60PCh. 6 - Prob. 6.61PCh. 6 - Prob. 6.62PCh. 6 - Prob. 6.63PCh. 6 - The following data were obtained from a series of...Ch. 6 - Plot the transition temperature versus manganese...Ch. 6 - Prob. 6.66PCh. 6 - Prob. 6.67PCh. 6 - Prob. 6.68PCh. 6 - Prob. 6.69PCh. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Prob. 6.73PCh. 6 - Prob. 6.74PCh. 6 - Prob. 6.75PCh. 6 - Prob. 6.76PCh. 6 - Prob. 6.77PCh. 6 - Prob. 6.78PCh. 6 - What two equations are used to describe Bingham...Ch. 6 - Prob. 6.80PCh. 6 - Prob. 6.81PCh. 6 - Prob. 6.82PCh. 6 - Prob. 6.1KP
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