- #1
nikolafmf
- 114
- 0
Hello,
I have problem with understanding the concept of energy of deformed body. As far as I know, Clapeyron's theorem states that elastic energy of deformed body is half the work done by external forces; this are surface and body forces which deform the body. Then, I wonder, where has another half of the work gone?
U=1/2[itex]\sigma[/itex]ijuij
W=[itex]\sigma[/itex]ijuij
U is elastic energy, W is work done by surface and body forces, [itex]\sigma[/itex] is stress tensor, u is infinitesimal strain tensor.
There is no acceleration and, as far as I know, kinetic energy is zero.
Can someone tell what is going here and does some book discusses the matter clearly?
Nikola
I have problem with understanding the concept of energy of deformed body. As far as I know, Clapeyron's theorem states that elastic energy of deformed body is half the work done by external forces; this are surface and body forces which deform the body. Then, I wonder, where has another half of the work gone?
U=1/2[itex]\sigma[/itex]ijuij
W=[itex]\sigma[/itex]ijuij
U is elastic energy, W is work done by surface and body forces, [itex]\sigma[/itex] is stress tensor, u is infinitesimal strain tensor.
There is no acceleration and, as far as I know, kinetic energy is zero.
Can someone tell what is going here and does some book discusses the matter clearly?
Nikola