Dear Colleagues,
I'm workimg on solution of static doubly periodic linear elasticilty problem for an array of cracks in 3D. Periodic cell is a cube containing a single crack. In order to avoid finite size effects, we need to apply periodic boundary conditions in two space directions. We are interested in finite element solution of this problem.
Could you please recommend me any Finite Element software, where periodic boundary conditions are implemented for 3D linear elasticity problems?
Thank you very much in advance!
Best regards
Vitaly
Dear Vitaly Kuzkin,
You can try COMSOl Multiphysics. Comsol allows you to implement periodic BCs for both 2D and 3D models.
Dear, Reza,
many thanks for your kind reply! Do you know any other packages with periodic BCs?
Regards
Vitaly
Dear Vitaly,
You can also use Ansys and ABAQUS softwares. They are both suitable for finite element analysis.
Best regards,
Reza
Hi Vitaly! COMSOl Multiphysics is the best choice. You can also take Abaqus using scripting and *Equations.
Dear Vitaly, JCMsuite is a multi-physics FEM solver specialized on solving Maxwell's equations. It can also solve 3D linear elasticity problems with periodic BCs.
Best regards, Philipp
Dear Vitaly Kuzkin,
I think that you can use Abaqus Cae. If you want i can share my works in Abaqus with you as example. Maybe you can use Open FOAM, but FOAM uses FVE
Dear Nelson, thank you very much for your answer. We have tried ABAQUS. Unfortunately periodic BCs are not implemented there. One needs to write some scripts to solve periodic problems.
Regards
Vitaly
My colleague Alexander Safonov has periodic boundary conditions implemented in Abaqus, I will ask him to send his scripts.
Dear Vitaly,
We've recently developed an ABAQUS plugin to apply PBCs (EasyPBC), I'll send you a copy of the plugin.
More details can be found at:
https://www.researchgate.net/project/ABAQUS-Plugin-Tool-for-Periodic-RVE-Homogenisation-EasyPBC
and:
https://www.researchgate.net/publication/325270235_Development_of_an_ABAQUS_plugin_tool_for_periodic_RVE_homogenisation
Regards,
Sadik
Dear Sadik,
thank you very much for your answer. I would be very grateful if you could send me a copy of your plugin! My primary email is [email protected].
Best regards
Vitaly
Very straightforward and general in sparselizard (www.sparselizard.org), even on general non-matching meshes. There is a fully validated example for rotation periodic conditions in 3D elasticity online (scroll down) but it is as straightforward and validated for translation periodic conditions. It all comes down to adding a term to the formulation:
elasticity += periodiccondition(gamma1, gamma2, u, {1,1,0}, {1.5});
for a translation periodicity where face gamma1 is mapped to face gamma2 by a 1.5 distance in direction (1,1,0).
Sparselizard is an open source general FEM library that is easy to use and allows to couple general multiphysics, nonlinear combinations of at least fluid, mechanics, electric, magnetic and electromagnetic physics.
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