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Technical University of Munich

Isogeometric B-Rep Elements

Isogeometric B-Rep elements are finite elements derived from B-Rep entities such as vertices, edges, and faces, which are used to describe one-, two-, or three-dimensional trimmed domains [Breitenberger et al. 2015]. They can be used for imposing analysis properties assigned to B-Rep entities within the AiCAD design-through-analysis process. The following list contains some examples of such properties

  • Neumann boundary conditions (e.g. forces, moments)
  • Dirichlet boundary conditions (e.g. displacements, rotations, . . . )
  • Coupling boundary conditions
  • Mechanically motivated entities (e.g. cables, beams, . . . ) [Bauer et al. 2017]

B-Rep elements are defined by non-zero knot spans of embedded geometries such as trimming curves.

Implicitly defined curve with its base vectors [Bauer et al. 2017]

Some examples of application are presented in the following:

 

Definition of the position vectors X and x, the surface vectors Xs and xs and the center line vectors Xc and xc for the undeformed and
deformed configuration with a cross section defined by BB2
and BB3. [Bauer et al. 2017]
hinge supported plate with ribbings modeled by embedded beams: (a) Set-up and (b) deformed system. [Bauer et al. 2017]
(a) Set-up of the forming example with support and loads, (b) deformed shell with von Mises stresses. The upper shell is computed, the
lower body is only depicted for illustration reasons. [Bauer et al. 2017]
leaf-sunshade modeled by a membrane with edge beam

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