##\tau_{xy}## represents the shear stress in the x direction on a plane of constant y. ##\tau_{yx}## represents the shear stress in the y direction on a plane of constant x.chetzread said:
ok , one more question , why we need to consider the forces acting on 3 surfaces only ? There are 6 face for cubic , right ?Chestermiller said:
You can get the forces on all 6 faces of the cube using the Cauchy stress relationship, and taking into account the possibility that the stress tensor may be varying with spatial location.chetzread said:
so , in this case , the author in wikipedia only consider 3 surface ? Which is accepatble , too ?Chestermiller said:
i think you mean ##\tau_{yx}## represents the shear stress in the x direction on a plane of constant y and vice versa ? because the force σyx (τyx) is in the x direction at constant y ...?Chestermiller said:
I don't know. I always get the two confused. And it doesn't matter anyway because the stress tensor is symmetric.chetzread said:
continue from post #6 ,Chestermiller said:
They usually "prove" this using a balance of moments.chetzread said:
It looks to me like the guy in wiki is correct for the three surfaces he considered.chetzread said:
If we consider 6 surface, then it's wrong?Chestermiller said:
What do you mean? I m getting more confused now...Chestermiller said:
Look up in the literature or on Google how it is shown that the stress tensor is symmetric.chetzread said:
OK, is my idea in post #6 correct?Chestermiller said:
It really doesn't matter if the stress tensor is symmetric.chetzread said:
So, both my post and your post could be correct?Chestermiller said:
I recommended references that contain the same kind of derivation that is in virtually every textbook. And I already alluded to a balance of moments. The rest is up to you to work out.chetzread said:
Do you have any notes or online notes that explain further on this part? I have tried to search online , but no avail..Chestermiller said:
