Equations

Question 1

How should matrices by modified for Mandel notation?

Answer 1

Multiply 44, 55, 66 by 2.

Question 2

How must the Eshelby tensor matrix be adjusted?

Answer 2

Use Mandel notation.

Question 3

Equation for average stiffness of a matrix given the strain concentration tensor?

Answer 3

C = Cm +Vf (Cf - Cm) A

Question 4

What are the maximum volume fractions?

Answer 4

Continuous-fibres:
Hex packed = 0.91
Square packed = 0.78
Randomly packed = 0.83

Spherical particles:
Close packed = 0.73
Cubic packed = 0.52
Random packed = 0.63 - 0.64

Question 5

Rotation equations at 45 degrees?

Answer 5

Q11 = m^4 (Q11+2Q12+4Q66+Q22)
Q22 = Q11
Q12 = m^4 (Q11+2Q12-4Q66+Q22)
Q66 = m^4 (Q11+Q22-2Q12)
Q16 = m^4 (Q11-Q22)
Q26 = Q16