The general form of Hooke's law in tensor form for a linear elastic solid. Lectures created for mechanics of solids and structures course at Olin College.
Thanks. I think I got it correct, but I might have confused you by switching around. On the final page I inverted the constitutive law from what we had before. Previously we derived strain as a function of stress, here I did stress as a function of strain. Sorry for the confusion (and if I am misunderstanding, please point me to the right place!)
hi Brian! Thank you for making these great videos! Could you please recommend some good references for learning linear elasticity theory?
I think I spotted a mistake in the expression for Hooke's law in the final part of the video (factor of 2G should be 1/2G)
Thanks. I think I got it correct, but I might have confused you by switching around. On the final page I inverted the constitutive law from what we had before. Previously we derived strain as a function of stress, here I did stress as a function of strain. Sorry for the confusion (and if I am misunderstanding, please point me to the right place!)