2. (50 pts) Let us compare the results of the (a) Rule of Mixtures (ROM) model and (b) Concentric Cylinder Assemblage (CCA) model. a. Develop a MATLAB function for each model that computes (outputs) the effective in plane composite properties (E1c, E2c, V12c, G12c) using the fiber and matrix properties (Eif. E2f. Vi2f. G2f. G23f.Em Vm) and fiber volume fraction (V) as inputs. b. Using the functions developed in (a), plot the effective in-plane composite properties, ic, E2c, Vi2c, G12c of an IM-7/977-3 composite lamina using the two different micromechanics models for the fiber volume fraction varies from Vf-0 to y-100% with an increment of 10%. Please plot each composite modulus computed using the two methods in one figure. The IM-7 carbon fiber and 977-3 epoxy properties are as follows: E1r 270 GPa, E2r-15 GPa,U12 0.28, G12 15 GPa, G 5 GPa Em = 3.4 GPa, Um-0.38 c. Please compare and comments on the difference between the two methods. 2. (50 pts) Let us compare the results of the (a) Rule of Mixtures (ROM) model and (b) Concentric Cylinder Assemblage (CCA) model. a. Develop a MATLAB function for each model that computes (outputs) the effective in plane composite properties (E1c, E2c, V12c, G12c) using the fiber and matrix properties (Eif. E2f. Vi2f. G2f. G23f.Em Vm) and fiber volume fraction (V) as inputs. b. Using the functions developed in (a), plot the effective in-plane composite properties, ic, E2c, Vi2c, G12c of an IM-7/977-3 composite lamina using the two different micromechanics models for the fiber volume fraction varies from Vf-0 to y-100% with an increment of 10%. Please plot each composite modulus computed using the two methods in one figure. The IM-7 carbon fiber and 977-3 epoxy properties are as follows: E1r 270 GPa, E2r-15 GPa,U12 0.28, G12 15 GPa, G 5 GPa Em = 3.4 GPa, Um-0.38 c. Please compare and comments on the difference between the two methods