Chapter 16: Problem 5
Cite one similarity and two differences between precipitation hardening and dispersion strengthening.
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Chapter 16: Problem 5
Cite one similarity and two differences between precipitation hardening and dispersion strengthening.
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It is desired to produce an aligned carbon fiber-epoxy matrix composite having a longitudinal tensile strength of \(500 \mathrm{MPa}(72,500 \mathrm{psi})\). Calculate the volume fraction of fibers necessary if (1) the average fiber diameter and length are \(0.01 \mathrm{~mm}\left(3.9 \times 10^{-4}\right.\) in.) and \(0.5 \mathrm{~mm}\left(2 \times 10^{-2}\right.\) in.), respectively; (2) the fiber fracture strength is \(4.0\) GPa \(\left(5.8 \times 10^{5} \mathrm{psi}\right)\); (3) the fiber-matrix bond strength is \(25 \mathrm{MPa}\) (3625 psi); and (4) the matrix stress at composite failure is \(7.0 \mathrm{MPa}\) (1000 psi).
(a) From the moduli of elasticity data in Table \(16.2\) for glass fiber- reinforced polycarbonate com- posites, determine the value of the fiber efficiency parameter for each of 20,30 , and 40 vol\% fibers. (b) Estimate the modulus of elasticity for 50 vol \(\%\) glass fibers.
Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average fiber diameter and length are \(0.015 \mathrm{~mm}\left(5.9 \times 10^{-4}\right.\) in. \()\) and \(2.0 \mathrm{~mm}(0.08\) in. \()\), respectively, and the volume fraction of fibers is \(0.25\). Assume that (1) the fiber-matrix bond strength is \(100 \mathrm{MPa}(14,500 \mathrm{psi}),(2)\) the fracture strength of the fibers is \(3500 \mathrm{MPa}\left(5 \times 10^{5} \mathrm{psi}\right)\), and (3) the matrix stress at composite failure is \(5.5 \mathrm{MPa}(800 \mathrm{psi})\).
Briefly describe laminar composites. What is the prime reason for fabricating these materials?
For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are \(33.1\) and \(3.66\) GPa ( \(4.8 \times 10^{6}\) and \(\left.5.3 \times 10^{5} \mathrm{psi}\right)\), respectively. If the volume fraction of fibers is \(0.30\), determine the moduli of elasticity of fiber and matrix phases.
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