- #1
Paulibus
- 203
- 11
The relation between the vector operator curl and rotation in fluids and vector fields is treated thoroughly in many texts. And the uniform (pure or simple) shear of a solid is adequately described by the strain tensor. I'd like to put the two together.
My guess is that an alternative description of shear might exist in terms of some kind of integral of curl along a straight line, but I haven't yet found any mention of such an alternative in texts on elasticity, or in others about vector operators. I'd appreciate being pointed to a web accessible treatment, if it exists --- or at least having it explained why my guess is impossibly wrong. Can anybody help?
My guess is that an alternative description of shear might exist in terms of some kind of integral of curl along a straight line, but I haven't yet found any mention of such an alternative in texts on elasticity, or in others about vector operators. I'd appreciate being pointed to a web accessible treatment, if it exists --- or at least having it explained why my guess is impossibly wrong. Can anybody help?