For a unidirectional composite with a rectangular fiber array (Figure 3

For a unidirectional composite with a rectangular fiber array (Figure 3.18), use the equations of elasticity to set up the displacement boundary value problem for the determination of the transverse modulus, E2. That is, find the governing partial differential equations for displacements u and v in the RVE, and specify the boundary and continuity conditions. Assume plane strain (εz = 0). Do not attempt to solve the equations, but explain briefly how E2 would be found. Assume that both fiber and matrix are isotropic.