Really nice work, u r making life for ppl in academics much easier...would love to see some more content from you, I discovered your channel late march and haven't missed a single video since then, it really helped me to revisit all the graduate level stuff. Have u given some thought about covering some advance models as in from fracture mechanics or Enriched Galerkin methods?
Hi, thanks so much for the comment. :) I try to make the kind of videos, I was always missing when learning about the topics, like with all the small (but necessary) mathematical tricks. Thanks a lot for appreciating this. ❤️ Covering more advanced models is definitely also on my wish list for future videos. I just think that the audience might then be even smaller for the channel than it is right now, since even FEniCS is still a niche library. As of now, I think it is, therefore, more reasonable to cover general topics for PDEs that can be applied in multiple fields. However, I will note down your video ideas on my To-Do list and might cover them in the far future, ;) stay tuned.
You're very welcome :). That's a great suggestion and would be a nice continuation for the series, and might also prepare the way for shell-based FEM. However, with the FEniCS video to be released on Friday, I want to pause the series for now and continue on some of the other topics on the channel (like Variational Autoencoders). I will put the biharmonic PDE on my To-Do list, and it will definitely be a video once the FEniCS series continues in the far future. As of now, I am also unsure whether I should move to FEniCSx (the recent re-development) and I am looking for the best way to do this.
Is there a specific reason for writing the constitutive relationship with Lamé parameters instead of using the generalized elasticity tensor such that σ=C:ε?
You are right, using the generalized elasticity wouldn't have been too restrictive. I wanted to avoid it to make it a bit easier to understand since I think that tensor matrix products can be a bit overwhelming for a beginner. 😊 Your comment is of course a great hint. The derivations result in the same for generalized elasticity.
@@MachineLearningSimulation Thanks for the clarification and great video btw. I'm really delighted to see these fantastic videos on all sorts of in-depth engineering topics. I'm doing research in the field of structural topology optimization, specifically in fire conditions, so your videos are immensely helpful to better understand the underlying maths and physics that I need to develop my optimization procedures. So thanks for taking the time to make these videos!
Thank you for this really helpful video! Do you know how to add lagrange multiplier for different constraints of the displacement or for contact problems into the weak form? Or maybe you have already a video about that topic (I couldn't find one yet)?
You're welcome :) I'm afraid, that's unfortunately beyond what I have used FEniCS for so. Pretty sure, it is possible to solve such problems. Probably, you have better chances to find help on a FEniCS forum. Sorry for not being able to help here :/
Excellent video! You showed all necessary steps and tricks! You made my life as a PhD student easier!
Really appreciate this!
You're welcome 😊
It's super nice to hear that these detailed derivations are helpful. I was struggling with it for a long time as well.
Really nice work, u r making life for ppl in academics much easier...would love to see some more content from you, I discovered your channel late march and haven't missed a single video since then, it really helped me to revisit all the graduate level stuff. Have u given some thought about covering some advance models as in from fracture mechanics or Enriched Galerkin methods?
Hi, thanks so much for the comment. :) I try to make the kind of videos, I was always missing when learning about the topics, like with all the small (but necessary) mathematical tricks. Thanks a lot for appreciating this. ❤️
Covering more advanced models is definitely also on my wish list for future videos. I just think that the audience might then be even smaller for the channel than it is right now, since even FEniCS is still a niche library. As of now, I think it is, therefore, more reasonable to cover general topics for PDEs that can be applied in multiple fields. However, I will note down your video ideas on my To-Do list and might cover them in the far future, ;) stay tuned.
Wld really look forward to them..!!
Fabulous work! Thank you.
Thank you for the kind words 😊 you're welcome!
thanks for the informative video. I was going to suggest the plate problem(biharmonic pde) as another video?
You're very welcome :).
That's a great suggestion and would be a nice continuation for the series, and might also prepare the way for shell-based FEM. However, with the FEniCS video to be released on Friday, I want to pause the series for now and continue on some of the other topics on the channel (like Variational Autoencoders). I will put the biharmonic PDE on my To-Do list, and it will definitely be a video once the FEniCS series continues in the far future. As of now, I am also unsure whether I should move to FEniCSx (the recent re-development) and I am looking for the best way to do this.
Is there a specific reason for writing the constitutive relationship with Lamé parameters instead of using the generalized elasticity tensor such that σ=C:ε?
You are right, using the generalized elasticity wouldn't have been too restrictive. I wanted to avoid it to make it a bit easier to understand since I think that tensor matrix products can be a bit overwhelming for a beginner. 😊
Your comment is of course a great hint. The derivations result in the same for generalized elasticity.
@@MachineLearningSimulation Thanks for the clarification and great video btw.
I'm really delighted to see these fantastic videos on all sorts of in-depth engineering topics.
I'm doing research in the field of structural topology optimization, specifically in fire conditions, so your videos are immensely helpful to better understand the underlying maths and physics that I need to develop my optimization procedures. So thanks for taking the time to make these videos!
You're very welcome 😊
Thanks for the kind words. It's amazing to see that they can be of great help.
Good luck with your research 👍
Thank you for this really helpful video! Do you know how to add lagrange multiplier for different constraints of the displacement or for contact problems into the weak form? Or maybe you have already a video about that topic (I couldn't find one yet)?
You're welcome :)
I'm afraid, that's unfortunately beyond what I have used FEniCS for so. Pretty sure, it is possible to solve such problems. Probably, you have better chances to find help on a FEniCS forum. Sorry for not being able to help here :/
@@MachineLearningSimulation No problem, thank you for the fast answer :)
Best! thanks a lot
You're welcome! 🤗
Excellent work! Thanks a lot for sharing.
Thank you! Cheers! 😊