No Residual Strain for PIMY

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Lei Lei
Posts: 124
Joined: Mon Jul 10, 2023 1:28 pm

No Residual Strain for PIMY

Post by Lei Lei » Thu Aug 29, 2024 11:32 am

Dear STKOteam,

I'm simulating the loading and unloading behavior of a cell with PIMY constitutive.
When the load is applied in the elastic stage, the vertical compressive strain of soil is -0.0263158.
Then the plastic activation of the soil is carried out, and the vertical strain of the soil changes abruptly to -0.0331689.
In the next stage, all applied loads are unloaded, and the vertical strain after unloading is -0.000149026.
The residual strain is only 0.5% of the maximum vertical strain.
Why is there so little involvement?

Looking forward to your reply!
Attachments
d52927a77e7c33a94df1ef1670cb772.png
strain and stress during Unloading
d52927a77e7c33a94df1ef1670cb772.png (9.88 KiB) Viewed 436 times
PIMY Cell Test.rar
STKO model
(72.64 KiB) Downloaded 69 times

STKO Team
Posts: 3066
Joined: Tue Oct 29, 2019 8:45 am

Re: No Residual Strain for PIMY

Post by STKO Team » Fri Aug 30, 2024 8:02 am

Try this model (slightly changed).
Between the loading and unloading of vertical stress, I added an imposed shear displacement.
PIMY-OCR Test.zip
(137.86 KiB) Downloaded 66 times
The vertical stress behavior shows this (export e11 vs s11):
Note that the first linear branch is linear because of the elastic assumption. In the second stage, you switch to plastic, and the shear modulus reduces in the plastic stage according to the stress state (and so does the E modulus here). However, for the equilibrium with your vertical load which is constant, the vertical stress should remain constant. This is suddenly jumps to a higher vertical strain (it seems a plastic plateau but it's not... simply because the E modulus suddenly changes when switched to plastic)
PI_sV.png
PI_sV.png (11.06 KiB) Viewed 417 times
The real plastic behavior of this material happens for shear deformation (the stage I added in between):
Note that this material in 2D has a strange way to output results: strain vector has 3 components, to the E12 is the shear strain.
Stress has 5 components (s11, s22, s33, s12, nr... see the OpenSees doc). It's strange so STKO does not recognize it as a plain strain vector. So if you want the 4th component in STKO you have to select sigma23
PI_sH.png
PI_sH.png (13.04 KiB) Viewed 417 times

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