EvanZ
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Hey, everyone. I'm new here. This is a continuum mechanics question. If it's the wrong forum, please let me know, of course.
The question is pretty simple, but since I haven't been able to find an answer, I'm looking for "crowd help". Green strain [itex]\mathbf{E}[/itex] is usually defined implicitly by the following equation:
[itex]ds^2-dS^2=2\mathbf{dX}\cdot \mathbf{E}\cdot\mathbf{dX}[/itex]
For the life of me, I can't explain why the 2 is necessary or where it comes from. I assume there's a good reason, though. Any thoughts are appreciated.
The question is pretty simple, but since I haven't been able to find an answer, I'm looking for "crowd help". Green strain [itex]\mathbf{E}[/itex] is usually defined implicitly by the following equation:
[itex]ds^2-dS^2=2\mathbf{dX}\cdot \mathbf{E}\cdot\mathbf{dX}[/itex]
For the life of me, I can't explain why the 2 is necessary or where it comes from. I assume there's a good reason, though. Any thoughts are appreciated.