Recent content by muskie25

If you really want a Mac, Parallels is a program that cost $50 or so and you can run Windows through that. I would ask your college if they allow remote access to their computers, such as ssh or desktop sharing. If so, like others are saying, you don't need a fancy laptop (you're working on...

Chestermiller, Do you mean the hydrostatic pressure, ## p ## ? ## p = −\sigma/3 ## I know that the deviatoric tensor is indeed pure shear, because the sum of the diagonal = 0, but my assignment says that there are two states of pure shear. I am either misunderstanding the wording of the...

Chestermiller, Do you mean the hydrostatic pressure, ## p ## ? ## p = -\sigma/3 ##

Homework Statement I am having trouble decomposing a uniaxial compressive stress into hydrostatic and pure shear components. Homework EquationsThe Attempt at a Solution I am starting with ## \begin{pmatrix} -\sigma & 0 & 0 \\ 0 & 0 & 0\\ 0 & 0 & 0 \end{pmatrix} ## I then do ##...

Homework Statement Calculate the magnitude of the resolved shear stress on the ## (112)## plane in the ##[11\bar{1}] ##direction in a bcc crystal. Homework Equations Tried to use: ## t^{\alpha} = \frac{1}{2} \sigma_{ij} (m_{i} n_{j} + m_{i} n_{j}) ## where m is the direction and n is the...

Right, but I multiplied through by r to get rid of the 1/r that comes from differentiating the ln term.

To find the critical radius, you take \frac{ d\Delta G}{dr} = 0 and solve for r. The reason that I am concerned is due to the fact other solutions that I have found (homogeneous nucleation) are much more simple.

Homework Statement A cylindrical pill-like solid cluster of radius r nucleates from the vapor phase on a dislocation that emerges from the substrate. The free-energy change per unit thickness is given by \Delta G = \pi r^2 \Delta G_v + 2 \pi r \gamma + A - B lnr Where A - Blnr represents...

Homework Statement I understand that decarburization happens during heat treatment of steels @ 700 C, and that carbon reacts with oxygen or hydrogen that is in the atmosphere. But, where does the carbon go? Homework Equations None The Attempt at a Solution Does the carbon react with the...

Homework Statement I am just a little bit confused. I have a question that is asking me to explain what the physical significance of volumetric flux is. Homework Equations I am not sure that this problem requires any equations! The Attempt at a Solution I know that the flux corresponds to...

Homework Statement If \sigma_{ij} = \begin{pmatrix} 3 & 3 & 3 \\ 3 & 3 & 3 \\ 3 & 3 & 3 \end{pmatrix} represents a stress tensor, on what plane(s) will the normal stress be a minimum? On what plane(s) will the shear stress be a maximum? Homework EquationsThe Attempt at a Solution The first...

Hmm. Then I don't get how to determine the pressure without having a volume term?

One more quick question: Would there be a V^N term in front of everything? I know that in the classical monatomic gas solution, there is. And , considering that the pressure is a partial wrt V, I assume it needs to be there again?

Ahh, I was forgetting the (-) in front of the ∞. That would explain a lot! This is still a huge ℤ, so I thought that I was doing it wrong but it sounds like I was on the right track. Thanks!

I don't understand the ∞ in the piecewise. I feel like that would just cause the whole thing to go to ∞. I don't know how to generate equations in this forum, so I will just try to explain my thought process. The container is spherical, thus need to use spherical coordinates for V(r). The...