Question

A continuous and aligned fiber-reinforced composite having a cross-sectional area of 1190 mm2 is subjected to an external tensile load. If the stresses sustained by the fiber and matrix phases are 144 and 2.16 MPa, respectively, the force sustained by the fiber phase is 74400 N, and the total longitudinal strain is 0.00119, determine the following: (a) The force sustained by the matrix phase (in N). (b) The modulus of elasticity of the composite material in the longitudinal direction (in GPa). (c) The modulus of elasticity for the fiber phase (in GPa). (d) The modulus of elasticity for the matrix phase (in GPa).

Answer 1

a) To calculate the force sustained by the matrix phase:

Given and

Now we know

Now

b) Modulus of elasticity in the longitudinal direction:

but

c)Modulus of elasticity for fiber phase:

d) Modulus of elasticity for matrix phase:

Similarly