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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(a) Write an expression for the modulus of elasticity for a hybrid composite in which all fibers of both types are oriented in the same direction. (b) Using this expression, compute the longitudinal modulus of elasticity of a hybrid composite consisting of aramid and glass fibers in volume fractions of \(0.25\) and \(0.35\), respectively, within a polyester resin matrix \(\left[E_{m}=4.0\right.\) GPa \(\left.\left(6 \times 10^{5} \mathrm{psi}\right)\right]\)
Compute the longitudinal strength of an aligned carbon fiber-epoxy matrix composite having a \(0.20\) volume fraction of fibers, assuming the following: (1) an average fiber diameter of \(6 \times 10^{-3} \mathrm{~mm}\left(2.4 \times 10^{-4}\right.\) in. \(),(2)\) an average fiber length of \(8.0 \mathrm{~mm}(0.31\) in. \(),(3)\) a fiber fracture strength of \(4.5\) GPa \(\left(6.5 \times 10^{5} \mathrm{psi}\right),(4)\) a fibermatrix bond strength of \(75 \mathrm{MPa}(10,900 \mathrm{psi}),(5)\) a matrix stress at composite failure of \(6.0 \mathrm{MPa}\) (870 psi), and (6) a matrix tensile strength of 60 MPa \((8700\) psi).
For a polymer-matrix fiber-reinforced composite: (a) List three functions of the matrix phase. (b) Compare the desired mechanical characterisics of matrix and fiber phases. (c) Cite two reasons why there must be a strong bond between fiber and matrix at their interface.
(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.
Briefly describe laminar composites. What is the prime reason for fabricating these materials?
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