(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am given c11, c12, and c44.

What is poissons ratio ν and the E modulus E [100] for

a single crystal for uniaxial strain in [100] (if Fe is isotropic)?

ii) What is the anisotropy factor A?

(iii) There is: sigma=[100 0 0; 0 100 0; 0 0 0]Mpa

What is the transverse strain in [001] and the change in thickness when the

Sample in [001] is 1mm thick?

2. Relevant equations

Ansitropy factor= c11-c12-2*c44

3. The attempt at a solution

Firstly I am a little confused why the question statement says it is isotropic and then giives a [1 0 0] diretion. How is that relevant ? Shouldn't E and v be independent of direction since its isotropic? Anyways since I have values for the c's and equations supplied by the matrix for isotropic materials I was able to solve for E and V.

The anistropy factor is -125. How do I interpret a negative value? If it were zero it would be isotrpic right? So the assumption in the beginning was wrong.

I'm not sure how to even start the third part. How does the [0 0 1] direction relate to the sigma matrix? There is no force in that direction right?

Thank you!

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# Homework Help: Stiffness Stress Tensor Question

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