- #1
Lewis S
Hi, I've been trying to figure out how to get Cauchy Stress Tensor components (~9) from a surface force for a while now. My background in this subject is not too deep, but I'm trying to build a renderer simulation in my free time.
I can get surface traction from a Stress Tensor:
t = ((1,2,3),(2,4,6),(3,6,1)) (1,0,0) = (1,2,3) where (1,0,0) is the normal (an example from a Dover book) but in numeric examples, the Stress Tensor is usually given, and not numerically derived.
I've been reading through a bunch of books (just picked one up today in the library) and attempting a bunch of multiplications, but I often end up with fewer (stress) components than 9 as a result and am going in circles. I think I'm missing something notational since I'm resulting to this time-intensive "guesswork."
I've also reached out to continuummechanics.org but I think it's less of a Q&A site.
Some sample numbers for an example: Force: (46.79,74.86,34.40) Normals: (0.4, 0.6, 0.693), (0.832,0.555,0), and (-0.385,-0.576,0.721)
I can get surface traction from a Stress Tensor:
t = ((1,2,3),(2,4,6),(3,6,1)) (1,0,0) = (1,2,3) where (1,0,0) is the normal (an example from a Dover book) but in numeric examples, the Stress Tensor is usually given, and not numerically derived.
I've been reading through a bunch of books (just picked one up today in the library) and attempting a bunch of multiplications, but I often end up with fewer (stress) components than 9 as a result and am going in circles. I think I'm missing something notational since I'm resulting to this time-intensive "guesswork."
I've also reached out to continuummechanics.org but I think it's less of a Q&A site.
Some sample numbers for an example: Force: (46.79,74.86,34.40) Normals: (0.4, 0.6, 0.693), (0.832,0.555,0), and (-0.385,-0.576,0.721)