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Forums
Physics
Classical Physics
Mechanics
Formula for the energy of elastic deformation
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[QUOTE="baw, post: 6449573, member: 686267"] Lets say we applied ##\sigma_1## at first and got ##\epsilon_1## as well as some ##\epsilon_2## and ##\epsilon_3##. The (specific) work done is ##\frac{\sigma_1^2}{2E}##. If we now apply ##\sigma_2## we already have some initial strain, so the plot ##\sigma_2(\epsilon_2)## moves downward by ##\frac{\nu}{E}\sigma_1##. If we now integrate it, we get ##\frac{\sigma_2^2}{2E}-\frac{\nu}{E}\sigma_1 \sigma_2##. Then, ##\sigma_3(\epsilon_3)## is shifted by ##\frac{\nu}{E}(\sigma_1+\sigma_2)## and suma summarum, after the integration we get the right formula. I got it, thanks! Btw. it means that I just made some mistke in the second method and that's why I didn't got the same answer, doesn't it? [/QUOTE]
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Forums
Physics
Classical Physics
Mechanics
Formula for the energy of elastic deformation
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