Variational Methods (Delta Operator)
19:43
4-3: Dynamic FEA (Damping)
20:50
3 жыл бұрын
Пікірлер
@ifrazali3052
@ifrazali3052 5 күн бұрын
7:40 that beta tantalum is SUS
@furkanylmaz8511
@furkanylmaz8511 17 күн бұрын
Thank you for such an excellent explanation. However, in eqn 9, the velocity term may need to be reorganized by deleting dt from the denominator?
@paulah0819
@paulah0819 29 күн бұрын
thank you so much for this video! i was struggling to understand how to get the wt% but now its clear!
@ahmedsaleh1580
@ahmedsaleh1580 Ай бұрын
5:35 should be V_j instead of V_K
@americanwoman6246
@americanwoman6246 Ай бұрын
If humanity vanished today, how long until the steel we have made is unrecognizable? In 10 thousand years would you be able to tell it was a truck or would it just be ore?
@edot9631
@edot9631 Ай бұрын
Thanks man, still very helpful.
@MuhammadAsif-ru5mh
@MuhammadAsif-ru5mh 2 ай бұрын
what is the reason of high melting temperature to about 251c in PET amorhous Is that any relation tm and IPA
@amvali
@amvali 2 ай бұрын
Hi Prof. Fertig, what textbooks do you recommend? May I have lecture notes?
@amvali
@amvali 2 ай бұрын
What textbooks do you suggest for this course?
@Deyvid_Autumn
@Deyvid_Autumn 2 ай бұрын
how am I an undergraduate student but I'm here
@GabrielSwilla
@GabrielSwilla 2 ай бұрын
thanks, the course is well equipped with required concepts
@ing.erickosorio2887
@ing.erickosorio2887 3 ай бұрын
Hi professor, I really appreciate these awesome lectures. I have a quick question. Isn't structural steel after peaking in capacity a softening material as well? Steel first strain harden and the reaches a maximum stress after which it have a negative slope which makes unstable as well, how do we approach that from plasticity perspective? Thank you so much in advance
@jim-e4j
@jim-e4j 4 ай бұрын
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!
@Frankchouzpy
@Frankchouzpy 5 ай бұрын
Thank you for this series of courses.
@minhtruong8856
@minhtruong8856 6 ай бұрын
Thank you!!! Great video professor.
@adilamarta7211
@adilamarta7211 7 ай бұрын
👏😮
@bagla0
@bagla0 7 ай бұрын
This video saved me from going in wrong pathway. Thanks a lot!
@wuxiao0715
@wuxiao0715 8 ай бұрын
when we say momentum, it has the unit of m*v, right? In this video, why does the momentum equation have a different unit?
@mutiur7396
@mutiur7396 8 ай бұрын
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?
@Gabby-du4mc
@Gabby-du4mc 9 ай бұрын
Thank you!!!!
@fertigresearchgroupmultisc3807
@fertigresearchgroupmultisc3807 8 ай бұрын
You're welcome!
@y4h1k05
@y4h1k05 9 ай бұрын
kms
@shravanbhadoria4104
@shravanbhadoria4104 9 ай бұрын
Sir, the meaning of zi and X is not clear yet. Could you suggest few resources to get clarity on their meanings. Thanks!
@shravanbhadoria4104
@shravanbhadoria4104 9 ай бұрын
Thanks Dr. Fertig.
@iguana563
@iguana563 9 ай бұрын
If the point just on the blodfaced line bondary, does this mean the coexistence of the phases involved?
@shravanbhadoria4104
@shravanbhadoria4104 9 ай бұрын
Thanks Dr. Fertig.
@shravanbhadoria4104
@shravanbhadoria4104 9 ай бұрын
Thank you Dr. Fertig! I am able to follow the lecture.
@wuxiao0715
@wuxiao0715 10 ай бұрын
10:05 can we dot product with e'_l instead of e'_n. In this way, no need the kronecker delta.
@wuxiao0715
@wuxiao0715 10 ай бұрын
7:25 it should be R_ij * R_kj, right?
@wuxiao0715
@wuxiao0715 10 ай бұрын
9:47 should be "n dependent variables u". Right?
@dhananjayjoshi2206
@dhananjayjoshi2206 11 ай бұрын
Great lecture
@line9siri-s1y
@line9siri-s1y 11 ай бұрын
I watched the video and completely understood. Thanks
@mutiur7396
@mutiur7396 Жыл бұрын
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.
@mutiur7396
@mutiur7396 Жыл бұрын
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?
@mutiur7396
@mutiur7396 Жыл бұрын
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?
@samuelbevins9151
@samuelbevins9151 6 ай бұрын
I was wondering the same thing. Aren’t we restricting c1 to be less than 1…?
@samuelbevins9151
@samuelbevins9151 6 ай бұрын
Nevermind I see. c1 is equal to sqrt(2)/2. This is because if A = 1, then u’ = 1 and then you can solve for c1. Lol!
@kale5930
@kale5930 Жыл бұрын
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?
@trasor486
@trasor486 Жыл бұрын
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
@elusoryk
@elusoryk Жыл бұрын
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?
@friendli2000
@friendli2000 Жыл бұрын
Nice lecture and explanations
@fertigresearchgroupmultisc3807
@fertigresearchgroupmultisc3807 Жыл бұрын
Thanks and welcome
@wuxiao0715
@wuxiao0715 Жыл бұрын
Hi, Professor. Any recommended textbook for learning variational of calculus?
@mahxylim7983
@mahxylim7983 Жыл бұрын
TQ
@ankitnim5110
@ankitnim5110 Жыл бұрын
Please suggest reading text for this topic
@fertigresearchgroupmultisc3807
@fertigresearchgroupmultisc3807 Жыл бұрын
www.amazon.com/Materials-Science-Engineering-William-Callister/dp/1118324579/ref=monarch_sidesheet
@ss_avsmt
@ss_avsmt Жыл бұрын
172/27
@audacityofimagineering7209
@audacityofimagineering7209 Жыл бұрын
Sir, @ 8:58 how do we compute the internal resistance at n = 0
@ss_avsmt
@ss_avsmt Жыл бұрын
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!
@davidndishu4457
@davidndishu4457 Жыл бұрын
Which software did you use
@fertigresearchgroupmultisc3807
@fertigresearchgroupmultisc3807 Жыл бұрын
Abaqus
@altaflone3356
@altaflone3356 Жыл бұрын
Prof. kindly tell the book you are using as reference.
@trevorhill1577
@trevorhill1577 Жыл бұрын
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?
@usmanzafar7293
@usmanzafar7293 Жыл бұрын
excellent demonstration
@fertigresearchgroupmultisc3807
@fertigresearchgroupmultisc3807 Жыл бұрын
Thank you! Cheers!
Жыл бұрын
Thank you so much for spending time on these high quality lectures. I have learnt a lot from these.
@kangliu6665
@kangliu6665 Жыл бұрын
Great lecture, Could you tell me the textbook you uesd, Thanks a lot.