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## Main Question or Discussion Point

HAllo everyone,

I had a problem with the measurement of young modulus and shear modulus with ultrasonic measurements( pulse-echo overlap technique)

For my metallic glasses rods (amorphous material) I used these formula for the calculation:

1. determination Shear modulus: G= ro * v trans^2

where ro= density of material and v trans = transversale vawe packet velocity= 2*D * nu trans

where D= height of the rods and nu trans= the found transversale frequency.

2 for Young modulus the formula that I found was quite complex and say:

first I calculated the longitudinale velocity with the same formula as for the transversale:

v long = 2*D*nu long --> and here I'm not sure of this formula !!

Then I used the following two equations:

nu (= poisson ratio) = E/2*G -1 and v long = E(1- nu)/ro(1-nu-2*nu^2)

to finally come to the following formula for the young modulus:

E= ((2-3*v long ^2 * ro)/2*G)/((-v long ^2*ro/2*G^2) + 1/(2*G)

Is it this formula correct? or maybe have you another for amorphous rods?!

Thank in advance

Noreau

I had a problem with the measurement of young modulus and shear modulus with ultrasonic measurements( pulse-echo overlap technique)

For my metallic glasses rods (amorphous material) I used these formula for the calculation:

1. determination Shear modulus: G= ro * v trans^2

where ro= density of material and v trans = transversale vawe packet velocity= 2*D * nu trans

where D= height of the rods and nu trans= the found transversale frequency.

2 for Young modulus the formula that I found was quite complex and say:

first I calculated the longitudinale velocity with the same formula as for the transversale:

v long = 2*D*nu long --> and here I'm not sure of this formula !!

Then I used the following two equations:

nu (= poisson ratio) = E/2*G -1 and v long = E(1- nu)/ro(1-nu-2*nu^2)

to finally come to the following formula for the young modulus:

E= ((2-3*v long ^2 * ro)/2*G)/((-v long ^2*ro/2*G^2) + 1/(2*G)

Is it this formula correct? or maybe have you another for amorphous rods?!

Thank in advance

Noreau