Recent content by afallingbomb

Yes it does. Thank you very much for your time!

So I am wrong to interpret a surface integral as the analog of a line integral to double integrals? I can think of a problem on a plane that gives me a zero line integral over the unit circle with fields of varying magnitudes. Consider the two vector fields...

Thanks for the replies and I apologize if I wasn't clear enough. I agree with LCKurtz. The integral you presented, HallsofIvy, is over a scalar field. I was referring to a vector field which at the boundary only has normal components. LCKurtz, I did mean unit vectors, but now that I...

What is the value of a surface integral over a closed, continuous surface of a vector field of vectors normal to the surface? The integral of ndS over S. I believe the answer is zero. Can someone direct me to a proof for an aribitrary closed surface?

Where can I find the derivation of the Boussinesq problem of elasticity (point load on an isotropic elastic infinite half-plane)? Besides the original 19th century paper, of course. Thanks!

arkajad, thank you very much. You made me see that my problem was not well posed. The physical motivation of this problem stemmed from my curiosity on determining a unique material property (stiffness or compliance) from a specified stress and strain state at a material point. In the most...

The double dot product between a fourth order tensor and a second order tensor is a second order tensor (now I'm referring to order as the number of subscripts... rank/order are used interchangeably in the literature). I can work it out using dyadics, but I'm not sure how to move around terms...

Sure, Arkajad. The double dot product or double contraction is the inner product of the two tensors. If they were both second order tensors, their double dot product would yield a scalar. As is described...

Given the expression \textbf{A} = \textbf{Q} : \textbf{B} where A and B are second order tensors of rank 2 and Q is a second order tensor of rank 4. How can I manipulate this expression to calculate for Q given A and B? In other words, isolate Q on one side of the equation. Thank...

I am trying to linearize a function, f(x), where x is a normally distributed N(0,1) random variable. How can I perform a taylor series expansion around a deterministic value x0? Thanks.

For a non-relativistic continuum (solid, fluid, etc) Newton's second law is simply the conservation of linear momentum expressed as: http://en.wikipedia.org/wiki/Cauchy_momentum_equation

This may be of use here: http://articles.adsabs.harvard.edu//full/1992CeMDA..53..227P/0000227.000.html

Thanks, Matonski. Squeeze does the trick!

Hello, I'd like to access a column of values from the 4th dimension of a 4D Double array in MATLAB and then save them to a new matrix. For example: A = rand(3,3,3,3); A(1,1,1,:) gives me: ans(:,:,1,1) = 0.7077 ans(:,:,1,2) = 0.0669 ans(:,:,1,3) = 0.7794 I...

I thought of what seems to be a very classical problem but I can't find a solution for it. At t=0 you have a sphere of radius, R, made up of an ideal gas at a temperature, T, and pressure, P. The sphere is sitting in an infinite vacuum. At t>0 you allow the sphere to expand freely outward...