Accessing Stiffness Matrices and Internal Force Vectors for Incremental Solution in COMSOL

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Hello COMSOL Community,

I'm currently working on a phase-field fracture problem and trying to implement a custom solver that follows a Newton-Raphson iteration scheme with arc-length control, similar to what is shown in the attached image (equation 17a and 17b).

I need to access the stiffness matrices (K_uu, K_φφ, etc.) and the internal force vectors (f_int,u, f_int,φ) in COMSOL in order to calculate the solution increments (Δu, Δφ, Δλ) at each iteration. I am aware that quantities like displacement (solid.uf) and damage (solid.dmg) can be accessed, but I'm unsure how to retrieve the stiffness matrices and internal force vectors.

I would like to use them in a custom script, potentially via the mph package or COMSOL's Java API.

Thank you!



5 Replies Last Post Sep 13, 2024, 8:35 a.m. EDT
Henrik Sönnerlind COMSOL Employee

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Posted: 2 months ago Sep 3, 2024, 3:00 a.m. EDT
Updated: 2 months ago Sep 3, 2024, 10:54 a.m. EDT

The path on which you plan to embark is probably quite difficult.

If possible, I suggest that you first look at something similar to the method used in this example:

https://www.comsol.com/model/postbuckling-analysis-using-an-incremental-arc-length-method-119001

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Henrik Sönnerlind
COMSOL
The path on which you plan to embark is probably quite difficult. If possible, I suggest that you first look at something similar to the method used in this example:

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Posted: 2 months ago Sep 12, 2024, 8:15 a.m. EDT

Thank you for the example provided and for pointing me in the right direction. I’m interested in understanding how to implement methods created in the Application Builder and then use or call these methods in Model Builder.

Could you provide guidance or resources !

Thank you for the example provided and for pointing me in the right direction. I’m interested in understanding how to implement methods created in the Application Builder and then use or call these methods in Model Builder. Could you provide guidance or resources !

Amit Suresh Patil COMSOL Employee

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Posted: 2 months ago Sep 12, 2024, 9:36 a.m. EDT
Updated: 2 months ago Sep 12, 2024, 9:37 a.m. EDT

Hi Aida,

Please have a look on the following links for more details

  1. https://www.comsol.com/video/automating-your-modeling-workflow-with-model-methods-in-comsol
  2. https://doc.comsol.com/6.2/docserver/#!/com.comsol.help.comsol/application_builder_manual_method_editor.11.01.html

Amit Patil COMSOL

Hi Aida, Please have a look on the following links for more details 1. [https://www.comsol.com/video/automating-your-modeling-workflow-with-model-methods-in-comsol](https://www.comsol.com/video/automating-your-modeling-workflow-with-model-methods-in-comsol) 2. [https://doc.comsol.com/6.2/docserver/#!/com.comsol.help.comsol/application_builder_manual_method_editor.11.01.html ](https://doc.comsol.com/6.2/docserver/#!/com.comsol.help.comsol/application_builder_manual_method_editor.11.01.html) ------------------- Amit Patil COMSOL

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Posted: 2 months ago Sep 13, 2024, 7:54 a.m. EDT

Hi Amit,

Thank you for sharing the links. I would need some additional support, specifically with implementing module method related to mesh variables for my coding needs. "https://doc.comsol.com/5.5/doc/com.comsol.help.comsol/comsol_ref_definitions.12.032.html#1764134"

Could you please assist me with this? Any further guidance would be greatly appreciated.

Thank you!

Hi Amit, Thank you for sharing the links. I would need some additional support, specifically with implementing module method related to mesh variables for my coding needs. "https://doc.comsol.com/5.5/doc/com.comsol.help.comsol/comsol_ref_definitions.12.032.html#1764134" Could you please assist me with this? Any further guidance would be greatly appreciated. Thank you!

Jeff Hiller COMSOL Employee

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Posted: 2 months ago Sep 13, 2024, 8:35 a.m. EDT

Dear Aida,

To request technical support from COMSOL employees, please use the support portal on your Access account, if your license is eligible for this service.

Best regards,

Jeff

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Jeff Hiller
Dear Aida, To request technical support from COMSOL employees, please use the support portal on your Access account, if your license is eligible for this service. Best regards, Jeff

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