Solid Mechanics Theory | Constitutive Laws (Elasticity Tensor)

Solid Mechanics Theory | Constitutive Laws (Elasticity Tensor)

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Contents:
Introduction: (0:00)
Reduction 1 - Stress and Strain Tensor Symmetry: (3:40)
Reduction 2 - Preservation of Energy: (5:46)
Reduction 3 - Planes of Symmetry: (11:35)
Orthotropic Materials: (13:09)
Transversely Isotropic Materials: (20:59)
Isotropic Materials: (23:00)
Plane Stress Condition: (25:50)
Plane Strain Condition: (28:10)

[szhhh]

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

[shreyashukla]

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

[andrealiu]

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-ddmw]

9:45 love your explanation thanks a lot

[kkzc]

nice course, really helpful. thank you!

[Saad-mgux]

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?

[cookiecutter]

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

[sebastiant]

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?

[zahraakhalife]

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!