The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity η is Options: A . &nbspy=9η kη+3K B . &nbspy=9YKY+3K C . &nbspy=9η k3+K D . &nbspy=3η k9η+K

The relationship between Young's modulus Y, Bulk modulus K and modulus of r

Question

The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity

η

Options:

A . y=9η kη+3K

B . y=9YKY+3K

C . y=9η k3+K

D . y=3η k9η+K

Answer: Option A
:
A
Solution: a):

Y = 3 K (1 - 2 σ)

and

y = 2 η (1 + σ)

Eliminating

σ

We get

y = \frac{9 η k}{η + 3 K}

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