Exercise Problem Of Homework No.3

For a composite lamina heated by a temperature difference and using mechanics of

materials appraoch

Given:

Get:

Where: is the thermal expansion coefficient.

is the volume fraction.

Young's modulus of elasticity.

Subscript for fiber and subscript for matrix.

Solution

Assumptions:

1)

2)

From Equilibrium:

From Hook's law:

From assumption (1):

From assumption (2)

Final Answer