Finite Element Method | Theory | Triangular Elements

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Dr. Clayton Pettit

Dr. Clayton Pettit

Күн бұрын

Пікірлер: 13
@emmanuelvassilakis5630
@emmanuelvassilakis5630 Ай бұрын
Hi Clayton! A bit late to the party so allow me to add myself to the plethora (hopefully) of viewers who have praised your lectures before asking. Now to the question: How does the 1-X2 upper limit of the integral in the calculation of the element stiffness matrix is deducted? In the X1 direction, the triangle's side goes from 0 to 1 (same as X2 direction where the limits of the integral are from 0 to 1). In addition, it would be helpful to add that ke eventually becomes: t.A.[B_transpose].[C].[B], where "A" is the area of the triangle (1/2 x determinant of the coordinates 3x3 matrix) and t the thickness. Thank you.
@vanshikatripathi4484
@vanshikatripathi4484 6 ай бұрын
omg! this is the best video ever on FEM. help me clear all my concepts which I knew wrongly. thankyou so much
@uctiennguyen9075
@uctiennguyen9075 2 жыл бұрын
Thanks for your lectures. It is very helpful to me.
@Mini-th8tt
@Mini-th8tt 11 ай бұрын
Hello sir. Can you link where you explained how to get a shape function?
@rahulvishwakarma4365
@rahulvishwakarma4365 2 жыл бұрын
The lectures are too beautifull and really well explained
@abebawassefa6665
@abebawassefa6665 2 жыл бұрын
So beautiful explanation. But you said we can get the stiffnes matrix with out double integration. how..? please tell us specially for the LST triangle with 6 nodes. Thank you sir .
@koroshkamran1385
@koroshkamran1385 6 ай бұрын
Thank you it was really great. I appreciate
@smileall04
@smileall04 2 жыл бұрын
Hey Clayton, I was wondering where you discuss about doing the integration quickly (at timestamp 12:50)? Is it explained in another video? Is it the same as 'Gaussian Integration' shown in the Isoparametric Elements video (Lecture 6 kzbin.info/www/bejne/nXvdonaXhKqkqaM )?
@ClaytonPettit
@ClaytonPettit 2 жыл бұрын
Hi Isha! This is correct :) I discussed it in my lecture videos but have yet to make a dedicated video on the concept as the scheme is modified a bit for triangular elements. I will work on the dedicated video soon!
@smileall04
@smileall04 2 жыл бұрын
@@ClaytonPettit Thanks for confirming! Grateful for your videos. They’ve been a saviour for my FEM class this semester. :)
@manoharu4152
@manoharu4152 2 жыл бұрын
2d quadric triangular means sir
@chibuzorbuzugbe6599
@chibuzorbuzugbe6599 2 жыл бұрын
Hello Clayton, I have really enjoyed listening to your lectures, please where do I find the video of the process of getting the shape functions?
@ClaytonPettit
@ClaytonPettit 2 жыл бұрын
Great question! I covered during my live lecture (kzbin.info/www/bejne/q5zVgqiXntapecU - Time 1:50:56). I should have covered it in more detail here but as they do not change (mostly haha) I decided to just present them :P
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