Finite Element Method | Theory | Triangular Elements

[@emmanuelvassilakis5630]

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]

omg! this is the best video ever on FEM. help me clear all my concepts which I knew wrongly. thankyou so much

[@uctiennguyen9075]

Thanks for your lectures. It is very helpful to me.

[@Mini-th8tt]

Hello sir. Can you link where you explained how to get a shape function?

[@rahulvishwakarma4365]

The lectures are too beautifull and really well explained

[@abebawassefa6665]

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]

Thank you it was really great. I appreciate

[@smileall04]

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]

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]

@@ClaytonPettit Thanks for confirming! Grateful for your videos. They’ve been a saviour for my FEM class this semester. :)

[@manoharu4152]

2d quadric triangular means sir

[@chibuzorbuzugbe6599]

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]

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