L30 Mohr-Coulomb, Dracker-Prager, and Modified Lade yield criteria
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- Опубліковано 15 вер 2024
- Lecture 30 of PGE 383 (Fall 2020) Advanced Geomechanics at The University of Texas at Austin delivered on 2020/10/28 by DN Espinoza ( / dnegeomechanics .
Topics: stress-sensitive yield criteria, frictional strength, Mohr-Coulomb failure criterion, extension to Drucker-Prager and modified Tresca, axisymmetric triaxial tests, modified Lade criterion.
More about the triaxial tests: Section 4.3.4 in dnicolasespino...
Clear lecture professor Espinoza.... useful for my class on mechanical behavior!
Best lecture on youtube. so much clarity in the explanation, thank you vary much
Master class.. 👏👏
Thank you so much!
Context - Minute 15.20. How would you explain that from s1 in the M-C plot the characteristic angle can be found in the counterclockwise direction whereas it is clockwise in the 2D representation?
I don't think it in terms of clockwise or counterclockwise, I think it always as going from the point/plane of sigma_1 to point/plane of sigma_3 (or any other principal stresses). It never fails.
Good morning, professor. Your lectures are amazing.
Do your lectures follow any book? Could you recommend one?
Best regards.
Hi, I have a video describing the main books I follow: ua-cam.com/video/sevuKho0QwQ/v-deo.html . There are some advanced topics that have been covered in very recent papers. Click "SHOW MORE" in the corresponding video and you will find the citations for the papers I refer to in that lecture, if any. Thanks for watching!
sir one doubt...how can we draw simply a circle on hydrostatic axis in drucker prager ? you said it should be symmetric with hydrostatic axis then why only circle ? please clarify sir.
It is not a single circle, it is a conical surface in the principal-stress-space where the cone axis coincides with the hydrostatic axis. The circle is just a cross-section of the cone with a plane perpendicular to the hydrostatic axis. I hope this helps.
Thanks for the video , Do you have any video about lode angle and STRESS Triaxiality on your channel? If not , Would you please do me a favor and explain a bit about them? thank you.
Hi, I talk about stress invariants here: ua-cam.com/video/JEPGl2bpQmY/v-deo.html . I don't mention the Lode angle but have added it to my list of future videos. Thanks for the suggestion!
Hi Professor. How the behaviour of rock vary from the behaviour of soils? Are there any differences using these constitutive models for soil?
The main difference is cementation which provides rock with cohesive strength. In general, all materials have a tension limit, compression yield cap, and some frictional strength. Tresca and von Mises (for metals), are a particular case of Drucker-Prager/Lade (rocks), which in turn are a particular case of more advanced models like Cam-Clay or Kayenta (for soil and rock/soil at high stresses). Which model you choose depends on the range of your stresses and what kind of inelasticity you want to capture.
@@dnicolasespinoza5258 Your explanation makes sense. Love your channel. Keep posting!
sir, can you please, upload videos comparing mohr coulomb and Cam Clay model
Hello prof. Thank you so much for the educative series. Is there a way I can implement this failure criteria in comsol or any geomechanics of a rock. Any link guiding me on how to implement in comsol would be helpful. Thank you
Yes, you can: www.comsol.com/blogs/how-to-implement-elastoplasticity-in-a-model-using-external-materials/ . However, this might an "additional" package the requires a license upgrade.
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