Consider a single crystal of nickel oriented such that a tensile stress is applied along a [001] direction. If slip occurs on a (111) plane and in a [101]direction and is initiated at an applied tensile stress of 13.9 MPa (2020 psi), compute the critical resolved shear stress

Explanation:

Given that:

The direction of the applied tensile stress =[001]

direction of the slip plane = [01]

normal to the slip plane = [111]

Now, the first thing to do is to calculate the angle between the tensile stress and the slip by using the formula:

where;

= directional indices for tensile stress

= slip direction

replacing their values;

i.e = 0 , = 0 =  1 & = -1 , = 0 , = 1

Also, to find the angle between the stress [001] & normal slip plane [111]

Then;

replacing their values;

i.e = 0 , = 0 =  1 & = 1 , = 1 , = 1

However, the critical resolved SS(shear stress) can be computed using the formula:

where;

applied tensile stress 13.9 MPa

∴

answer:

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Explanation: