Concept explainers
(a)
The first crack is formed in the composite.
(a)
Answer to Problem 86AAP
The first crack is formed in the composite is on
Explanation of Solution
Write the expression to calculate strain on the composite
Here, stress on the composite is
Write the fracture-toughness equation for the composite.
Here, fracture-toughness of the composite is
For the isostrain conditions, the strain on the composite will be equal to strain on the matrix and strain on the fiber respectively.
Here, strain on the
Considering the
Here, fracture-toughness of the
Considering the
Here, fracture-toughness of the
Conclusion:
Substitute
Substitute
When compared to
Thus, the first crack is formed in the composite is on
(b)
The stress at which first crack is formed in the composite.
(b)
Answer to Problem 86AAP
The stress at which first crack is formed in the composite is
Explanation of Solution
Conclusion:
When compared to
Thus, the stress at which first crack is formed in the composite is
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Chapter 12 Solutions
Foundations of Materials Science and Engineering
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