Solid Mechanics Theory | Constitutive Laws (Elasticity Tensor)

[@szhhh1326]

Wow, well done. I wish my professor would go into this level of detail!

[@why_are_kishore]

Great lecture! It cleared all my doubts. I wish I had seen this a decade ago.

[@sayantanghosh6714]

Great video. Thank you Dr. Pettit!

[@shreyashukla4383]

your video is amazing, loved your explanations, a true teacher. Thankyou

[@andrealiu8650]

Awesome! Explained all of my confusion. Thank you!

[@Swainjustar]

Thanks for making me understand, i appreciate from Uganda Makerere University Structures Masters class 2021/22 Regards

[@amankumar-dd1mw]

9:45 love your explanation thanks a lot

[@perebodaka9109]

Mr Clayton thank you so much

[@kkzc91]

nice course, really helpful. thank you!

[@Saad-mg7ux]

May I ask a question why is the component Cijkl, that's gonna be the partial derivative of sigma ij with respect to epsilon kl?

[@shivasudhan165]

Same question

[@sharrehabibi]

Great!

[@zahraakhalife9150]

Hi! Thanks a lot for the great explanation! I have a question please, in section "Reduction 2" you mentioned that order of differentiation doesn't matter since its a simple function, so are there other general cases where order of differentiation does matter? (it could be an off-topic question, sorry, I'm just curious to know) Thanks!

[@alaabarakat8609]

It's comes from calculus, which says something along the lines that if the function is continuous, the order of differentiation does not matter. I believe in linear elasticity, the functions will always be continuous. But yeah, there are applications outside linear elasticity where a function might not be continuous, and the order of differentiation does matter.

[@sebastiant1094]

thanks for the explanation, in the first slide why does it have 2 times epsilon_12 and in the equation above it just have the coefficients without times 2?

[@lagaufre37]

I think there is a mistake, the first complete vector epsilon (with the 9 terms )shouldn't have the 2, this is only when terms are grouped (because epsiij=epsiji) that the 2 should appear (in the reduced epsilon vector with 6 terms)

[@joydeepdeb2025]

Thanks a lot for this

[@cookiecutter7706]

everything is clear about writing the strain tensor as the product of the compliance tensor and the stress tensor according to hooke law, but I cannot do the same for the stress tensor. also, it is not easy to get the inverse of the compliance tensor, since it is a 9x9 matrix. how can i manipulate stiffness matrix from scratch by not taking the inverse of compliance matrix

[@weiwang-mz9qq]

cool