Request for Resources on Node-to-Node Displacement Relations in Tetrahedral Mesh FEM Models

[sodasoda520]

I am currently working on a tetrahedral mesh model in SOFA, utilizing the built-in Tetrahedral FEM ForceField for modeling and applying constraints. Specifically, I would like to better understand the mathematical relationship between nodes, particularly when applying a specific displacement to one node and determining how this affects the displacement of other nodes in the mesh.

Are there any recommended theoretical resources or case studies that describe the node-to-node displacement relations in FEM-based simulations, especially within the context of SOFA? I'm looking for references on how displacements propagate through the mesh and how the influence of one node is distributed to others.

Any advice, papers, or examples would be greatly appreciated.

Thank you in advance!

[hugtalbot]

Hi @sodasoda520

Regarding your first paragraph, it all relates to Finite Element Method. I would target reading books rather than papers. I have one authored by Zienkiewicz et al. or another by Jonathan Whiteley, "Finite Element Methods, A Practical Guide" or David V. Hutton, "Fundamentals of Finite Element Analysis" .Hope this helps

I definitely invite you to dig into it, it will help a lot in the understanding.
Cheers