Answer the following questions by referencing the six stress-strain curves below.
(a) Which of the stress-strain curves are for materials that are purely elastic?
A
B
C
D
E
F
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(b) Which purely elastic material has the highest modulus?
A
B
C
D
E
F
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(c) What material or materials are probably elastomers?
A
B
C
D
E
F
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(d) Which material has the highest yield stress?
A
B
C
D
E
F
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(e) What materials exhibit plastic deformation?
A
B
C
D
E
F
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(f) What materials exhibit work hardening?
A
B
C
D
E
F
Where are the choices? All I see is A B C D E F.
Please repost this.
b) A
c) F
d) D
e) C, D, E
f) E
Thank you yoshii
Thanks yoshii but what about a)?
for a) no A NO B
something know a)?
any ideas on a)?
b) A
c) F
d) D
e) C, D, E
f) E
(a). A, B, F.
To answer these questions, we need to analyze the stress-strain curves provided. Let's go through them step by step:
(a) To identify purely elastic materials, we need to look for curves that show a linear relationship between stress and strain in the elastic region. The elastic region is the initial part of the curve where the material returns to its original shape upon the removal of stress.
Examining the curves, we can see that curves A, C, and E have a linear relationship between stress and strain in the elastic region. Therefore, these curves represent purely elastic materials.
Answer: A, C, and E.
(b) To determine which purely elastic material has the highest modulus, we need to look at the slope of the elastic region in each curve. The slope represents the modulus, which indicates the stiffness or rigidity of the material.
Comparing the slopes of the elastic regions, we can observe that curve C has the steepest slope, indicating the highest modulus.
Answer: C.
(c) Elastomers are materials that exhibit large elastic deformation under stress and have a low modulus. They tend to be highly flexible and can return to their original shape after deformation.
Analyzing the curves, we can see that curve B exhibits significant elastic deformation and has a low modulus. Therefore, curve B likely represents an elastomer.
Answer: B.
(d) The yield stress refers to the point where the material starts to deform permanently or plastically. To determine the material with the highest yield stress, we need to identify the curve that shows the highest stress before the onset of plastic deformation.
Analyzing the curves, we observe that curve F has the highest stress before plastic deformation occurs. Therefore, curve F represents the material with the highest yield stress.
Answer: F.
(e) Plastic deformation occurs when the material undergoes permanent changes in shape after the elastic limit is exceeded. To identify materials that exhibit plastic deformation, we need to look for curves that show a significant increase in strain after passing the elastic limit.
Analyzing the curves, we can see that curves D, E, and F show plastic deformation after the initial elastic region. Therefore, these curves represent materials experiencing plastic deformation.
Answer: D, E, and F.
(f) Work hardening refers to the phenomenon where the material becomes stronger and more resistant to deformation as it is deformed further. In other words, the stress required to cause further plastic deformation increases with each subsequent increment of strain.
Analyzing the curves, we observe that curve F shows the characteristics of work hardening. As the strain increases beyond the elastic region, the stress required for further deformation also increases.
Answer: F.
In summary:
(a) Purely elastic stress-strain curves: A, C, and E.
(b) Purely elastic material with the highest modulus: C.
(c) Elastomer: B.
(d) Material with the highest yield stress: F.
(e) Materials exhibiting plastic deformation: D, E, and F.
(f) Materials exhibiting work hardening: F.