Users:General FEM Analysis/Elements Reference/NURBS BRep Edge coupling

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Contents

General Description

Element Type

The formulation is based on Breitenberger et al. [1]. The element allows to

  • coupling trimmed NURBS surfaces for geometrically linear and nonlinear analysis.


Degrees of Freedom

The element uses the translatoric degrees of freedom (Disp_X, Disp_Y, Disp_Z) at each control point.

Parameter Description

Compulsory Parameters
Parameter Values, Default(*) Description
INT_TYPE_NURBS_EDGE_COUPLING FULL, USER Control of integration type.
  • FULL: p+1 Gauss points are used (p = polynomial degree of the NURBS patch)
  • USER: the optional Parameter GAUSS_U defines the number of Gauss points
BREP_TYPE COUPLING_DISP, COUPLING_ROT, COUPLING_DISP_ROT Type of coupling.
  • COUPLING_DISP: only displacements are coupled
  • COUPLING_ROT: only rotations are coupled
  • COUPLING_DISP_ROT: displacements and rotations are coupled
BL_FACTOR_DISP BL_FACTOR_DISP= float penalty factor for the displacement
BL_FACTOR_ROT BL_FACTOR_ROT= float penalty factor for the rotation
Optional Parameters
Parameter Values, Default(*) Description
GAUSS_U GAUSS_U = int Number of Gauss point per element. Must only to be defined when INT_TYPE_CORD_3D_NURBS = USER

Example of a Complete Input Block

EL-PROP 1 : NURBS_BREP_EDGE_COUPLING  
  BREP_TYPE = COUPLING_DISP ! or: COUPLING_ROT, COUPLING_DISP_ROT
  !NITSCHE=AUTO
  BL_FACTOR_DISP = 10000
  BL_FACTOR_DISP = 10000
  INT_TYPE_NURBS_EDGE_COUPLING = USER or FULL
  GAUSS_U = 4

Element Loading

The NURBS_BRep_Edge_Cord element is able to carry the following loads:

  • dead load
  • snow load
  • pressure load
  • temperature load (not tested)

Benchmarks

The main benchmark file in the Carat++-repository (cmake option extensive benchmarks is

  • '../examples/benchmark_examples/isogeometric/x_ibra_oilsump_8mm/xcbm_oilsump_8mm.txt'.

References

  1. Breitenberger, M.; Apostolatos, A.; Philipp, B.; Wüchner, R.; Bletzinger, K.-U.: Analysis in computer aided design: Nonlinear isogeometric B-Rep analysis of shell structures. Computer Methods in Applied Mechanics and Engineering 284, 2015, 401--457




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