# Isotropic materials and levels of stress

I was wondering if I was to have two objects both made of isotropic materials such as steel and aluminum and the two objects were the same geometry and I was to apply the same load and boundary conditions to each, would one of the materials have a higher stress?

My understanding is that because stress = load / area then the stress for steel would be exactly the same as for aluminum.

But then there is the relation between Young's modulus $E = \frac{\mbox{stress}}{\mbox{strain}}$. So it is difficult for me to justify my first thought.

It would be interesting to hear some thoughts on this.

• The way you have described the problem is a bit odd, as loads are a type of boundary condition. If the BCs are instead equal strains, then the answer is no, but that is only due to difference in modulus as you noted. – wwarriner Apr 26 '16 at 12:10