Composite Materials: Analysis and Design
Homework no.1
Problem 1
Prove the following relations:
I.
II. (
(
)
) (
( )
)


III. (
) (
)
(
)
IV. (
) (
)
[ (
(
)]
)
[ (
) ]
Problem 2
An anisotropic elastic solid is subjected to some lo
Composite Materials: Analysis and Design
Homework no.3
Problem 1
Starting from the expression for the reduced stiffness element
derive the expression
Problem 2
Develop a failure envelope (threedimensional plot of the combinations of the normal and
shear
Composite Materials: Analysis and Design
Homework no.5
Due Date: 10th May
Problem 1
Using the strain energy approach, check the validity of an assumption (equal strains)
leading to the equation for the longitudinal modulus.
Problem 2
Using the strain ener
Composite Materials: Analysis and Design
Homework no.6
Due Date:
Problem 1
A symmetric laminate is composed of four plies with ply angles . If the total thickness
of the laminate is (t), determine the individual thicknesses which guarantee that the lamina
Composite Materials: Analysis and Design
Homework no.4
Due Date: 3th May
Problem 1
Fig. 1 illustrates a rectangular array of ellipticalshaped fibers. Determine: a) the
relationship between the fiber volume fraction and the specified geometrical parameter
Composite Materials: Analysis and Design
Homework no.2
Problem 1
For a lamina of glass/epoxy, calculate the followings:
1.
2.
3.
4.
5.
6.
7.
Transformed compliance matrix
Transformed reduced stiffness matrix
Global strains
Local strains
Local stresses
Pri
————_—_—_————_
Tem peratu re
—————_—_—_—_—
147C The zeroth law of thermodynamics states that two bodies are in thermal equilibrium it' both have
the same temperature reading, even ifthey are not in contact.
[4813 They are Celsius(“C) and Kelvin (K) in
Systems, Forms of Energy, State, Properties
11:“: As an open system since mass is crossing the boundaries ofthe system.
_—_—_—_—ﬁ—
145C As a closed system since no mass is crossing the boundaries oftbe system.
llﬁC in electric heaters, electrical en
_——————————
Pressure
_————————
1341: The pressure relative to the atmospheric pressure is called the gage pressure, and the pressure
relative to an absolute vacuum is called absolute pressure.
external pressure exerted on the skin decreases with
As a r
Chapter I
BASIC CONCEPTS OF THERMODYNAMICS
Thermodynamics and Energy
llC Classical thermodynamics is based on experimental observations whereas statistical thermodynamics
is based on the average behavior of large groups ofpartieles.
l2C On a downh