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At time 05:10 in the video it seems like the closed interval [ \zeta - \delta, \zeta + \delta ] should be an open interval ( \zeta - \delta, \zeta + \delta ) since \psi(x) > 0 at the two end points. To me it appears to break the continuity of \psi(x) at the endpoint whereas if this was an open interval it would be OK because \psi would equal zero at the endpoints and when you are in the interior of the open interval then \psi would approach zero as you get closer to the endpoints? Thanks for the great video series!

What is creep compliance Loss compliance Stirage compliance

Thank you for this series of courses.

Thank you!!! Great video professor.

👏😮

This video saved me from going in wrong pathway. Thanks a lot!

when we say momentum, it has the unit of m*v, right? In this video, why does the momentum equation have a different unit?

You said, conventional calculus is used to extremize function and variational calculus is used to extermize Functional. The function returned in calculus of variation is minimum at every point in the domain OR does the minimum is in average sense due to fact we integrate the functional in domain?

Thank you!!!!

kms

Sir, the meaning of zi and X is not clear yet. Could you suggest few resources to get clarity on their meanings. Thanks!

Thanks Dr. Fertig.

If the point just on the blodfaced line bondary, does this mean the coexistence of the phases involved?

Thanks Dr. Fertig.

Thank you Dr. Fertig! I am able to follow the lecture.

10:05 can we dot product with e'_l instead of e'_n. In this way, no need the kronecker delta.

7:25 it should be R_ij * R_kj, right?

9:47 should be "n dependent variables u". Right?

Great lecture

I watched the video and completely understood. Thanks

I see you have shown many derivations, so one get good understanding of basics. Do you have some class notes or recommended book that follow exactly like your covered the entire topics of fea.

You showed only a single graph for which there is a variation, which we derived. Since in this and in previous case (of last videos based o derivatives) we want to find an extremal function, which will have an infinite number of 'points' along x axis. My question is about eta function we used previously and referred here as well. Do we will need an infinite number of eta functions for each point x for comparison with 'known' assumed function. This will also imply that we will have to make similar calculation for infinite number of x axis points. Am i correct?

I last part of lecture, one see that 1-c1 in sqaure root. We generalized this to A. Would not value to c1 have any constraint on choices of values of c1or A in final u?

What would happen if you were to cool to 400 degrees and wait until you have 50% bainite, and then quench to room temperature? What would the microstructure be?

thank you for this video. Is it possible to implement this without the stiffness matrix, but with the internal force vector Fint(u_(k+1)) ? The factorazation does not work like this to solve for u_(k+1) in the last step

Thank you for interesting video. If we put (6) into (4), we get negative value of pi (if displacement and force have same direction). It's a little bit confusing. Potential energy is negative at equilibrium? Could you please comment, why this happens?

Nice lecture and explanations

Hi, Professor. Any recommended textbook for learning variational of calculus?

TQ

Please suggest reading text for this topic

172/27

Sir, @ 8:58 how do we compute the internal resistance at n = 0

Wow, our continuum mechanics professor had given this expression to prove in the final exam when I was in my first year PG. Now I understand!! Thanks and Cheers!

Which software did you use

Prof. kindly tell the book you are using as reference.

This is so clear thank you. If energy lost/energy stored = 4 x pi x tan delta, doesn't this imply virtually all energy is lost in vulcanised rubber, where tan delta is around 0.1 at room temperature?

excellent demonstration

Thank you so much for spending time on these high quality lectures. I have learnt a lot from these.

Great lecture, Could you tell me the textbook you uesd, Thanks a lot.

you sound like an indian

So where exactly does the 1/2 come from?

Why on Earth is the 1/2 factor there?

Thank you

Thank you very much!!

Very useful video sir and thank you so much for making this video

is it just me or this guy sounds like Andrew Tate great explanation by the way.

That was so helpful thank you

can you share some resources to learn the numerical implementation of phenomenological metal plasticity models?

Awesome sir

What ASTM standards are used to measure the relative modulus and relaxation time for polymers