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Calculating the damage tolerance of the material

  • #1

Homework Statement:

An alloy has a fracture toughness of 62 MPam^1/2

and its ultimate tensile strength is 164 MPa.

Calculate the damage tolerance of the material in the unit of mm.

Relevant Equations:

Kic = Yrc sqrt pi * a

Kic = Y Oa sqrt pi * ac
so I have quickly gone over this, but feel that I am not going in the right direction.

I am assuming Y = 1 so,

62 = 164 sqrt Ka

given UTS = 164 Mpa
Kic = 62 Mpa m1/2

therefor,

working for ac, (the damage tolerance of the material)

Oa = UTS = 164 Mpa
Kic = Y Oa sqrt ac
62 = 1 * 164 * sqrt ac

there is a symbol in square root for the equation ^ I didn't understand it properly,

I have attached tutorials I have done earlier in the picture with the symbol in the square root.

what i would like some advice on would be the full equation.
 

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