Stress energy tensor for rotating disc

Click For Summary
SUMMARY

The discussion focuses on calculating the stress-energy tensor for a rotating 3D disc using the hyperelastic model. Greg Egan's work, available at http://www.gregegan.net/SCIENCE/Rings/Rings.html, provides insights into this problem, although it is not peer-reviewed. The hyperelastic model has specific limitations regarding acceptable parameters; failing to adhere to these can result in unsolvable equations of motion.

PREREQUISITES
  • Understanding of stress-energy tensors in general relativity
  • Familiarity with hyperelastic material models
  • Knowledge of rotational dynamics in physics
  • Basic grasp of differential equations
NEXT STEPS
  • Research the hyperelastic model's limitations and acceptable parameter ranges
  • Study the derivation of stress-energy tensors in general relativity
  • Explore Greg Egan's other works on rotating bodies
  • Learn about the equations of motion in non-linear elasticity
USEFUL FOR

This discussion is beneficial for physicists, researchers in general relativity, and engineers working with rotating systems or materials modeling.

luxio
Messages
11
Reaction score
0
Hi, i need calculate the stress energy tensor for rotating 3D-disc in arbitrary rotation.
where i can find some hint or perfomed calculations?
thank you
 
Physics news on Phys.org
You'll need to make additional assumptions about the disk to come up with a stress-energy tensor. Using a set of assumptions know as the hyperelastic model, Greg Egan discusses this problem in http://www.gregegan.net/SCIENCE/Rings/Rings.html.

Note that this particular web page is not peer-reviewed. However, it is the best information I'm aware of on this particular problem.

Note that the hyperelastic model does have some limitations as to acceptable parameters. Without care to restrict the parameters to acceptable values, the model can fail to the point where the equations of motion don't even have solutions!.
 

Similar threads

Undergrad KE of rotating disc
  • · Replies 87 ·
3
Replies
87
Views
5K
Undergrad Obtaining the matter Lagrangian from the stress energy tensor
  • · Replies 11 ·
Replies
11
Views
2K
High School Rotating disc: tidal relativity across surface of disc
  • · Replies 14 ·
Replies
14
Views
1K
Undergrad Cauchy Stress Tensor in Applied Strength of Materials
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Going from Cauchy Stress Tensor to GR's Energy Momentum Tensor
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Move Stress-Energy tensor to the left side of EFE?
  • · Replies 2 ·
Replies
2
Views
881
Undergrad Question about Stress-Energy Tensor: A First Course in GR
  • · Replies 8 ·
Replies
8
Views
2K
High School Special Cases of Stress-Energy Tensor in GR
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Stress-energy tensor of a rotating rod
  • · Replies 21 ·
Replies
21
Views
4K
Undergrad Contracting the stress energy tensor
  • · Replies 33 ·
2
Replies
33
Views
5K