Draw and explain the different modes of failure of a composite depending on the type of loading in relation to the orientation of the fibers (longitudinal traction, longitudinal compression, transverse traction, etc.
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When an aligned fibre composite is loaded in the longitudinal direction, the stress is the same everywhere strain is the same everywhere the composite is in its weakest (worst) orientation the fibres do not carry any load the stiffness is lowest
Sri K.
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 $5.5 \mathrm{MPa}(800 \mathrm{psi})$.
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).
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