FEM best practices and examples

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FEM-solver

The FEM-solver is written completely in C# with. It is geometrically linear. So second order effects are not taken into account.

Mesh element/theory

The mesh element used with in plates in XFEM4U is a modified Kirchhoff element. It is extended in 2021 by | Professor Blaauwendraad. Usually Kirchhoff is less precise regarding shear force distribution. In the modified element this is solved. Therefore it is a extremely robust element with very reliable shear force distribution.

Mesher

The mesher is using 4-nodes quadrangle elements because they are more accurate than 3-nodes triangle elements. On a edge


Mesh Size

Below we describe a method how to find the right mesh size for your structure. If you make the mesh too dense, internal forces will be higher then reality. First some basics.

  • Element size should never be smaller then the plate thickness. Otherwise the theory of Kirchhoff is not correct anymore.
  • Element size also at least the smallest spansize in the structure to expect a correct result.
  • Steel plate structures: If you make you mesh 50% smaller the stress should not increase more then 10-12%.

Workflow to find the right meshsize within a steel structure.