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Using the maximum strain criterion and micromechanics, set up the equations for predicting the averaged isotropic strength of a randomly oriented continuous fiber composite

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Using the maximum strain criterion and micromechanics, set up the equations for predicting the averaged isotropic strength of a randomly oriented continuous fiber composite. Your answer should be expressed in terms of the appropriate fiber and matrix properties and volume fractions, the variable fiber orientation angle θ, and the appropriate strengths of the corresponding unidirectional lamina that consists of the same fiber and matrix materials and volume fractions. In the micromechanics analysis, assume that the matrix failure strain is greater than the fiber failure strain (i.e., that the materials behave as shown in Figure 4.14a). Define all parameters used, but do not try to solve the equation.

Assuming that the failure mode for longitudinal compression of unidirectional E-glass/epoxy with fiber volume fraction υf = 0.6 is a transverse tensile rupture due to Poisson strains, (a) estimate the longitudinal compressive strength of this material and (b) if the volume fraction of the material in part (a) is varied, what effect would this have on the longitudinal compressive strength?