Implementation of Linear 3d eight - node finite element. Each node has 3 degrees of freedom. The element features are summarized in Table 33.

Keyword | lspace |

Description | Linear isoparametric brick element |

Specific parameters | [NIP #(in)] |

Parameters | NIP: allows to set the number of integration points (possible completions are 1, 8 (default), or 27). |

Unknowns | Three dofs (u-displacement, v-displacement, w-displacement) are required in each node. |

Approximation | Linear approximation of displacement and geometry. |

Integration | Full integration of all strain components. |

Features | Adaptivity support, Geometric nonlinearity support. |

CS properties | - |

Loads | - |

Nlgeo | 0,1,2. |

Status | Reliable |

Implementation of 3d brick eight - node linear approximation element with selective integration of deviatoric and volumetric strain contributions (B-bar formulation) for incompressible problems. Features and description identical to conventional lspace element, see section 2.8.1.

Implementation of quadratic 3d 20-node finite element. Each node has 3 degrees of freedom. The element features are summarized in Table 34.

Keyword | qspace |

Description | Quadratic isoparametric brick element |

Specific parameters | [NIP #(in)] |

Parameters | NIP: allows to set the number of integration points (possible completions are 1, 8 (default), or 27). |

Unknowns | Three dofs (u-displacement, v-displacement, w-displacement) are required in each node. |

Approximation | Quadratic approximation of displacement and geometry. |

Integration | Full integration of all strain components. |

Features | - |

CS properties | - |

Loads | - |

Nlgeo | 0,1,2. |

Status | Reliable |

Implementation of tetrahedra four-node finite element. Each node has 3 degrees of freedom. The element features are summarized in Table 35. Following node numbering convention is adopted (see also Fig. 14):

- Select a face that will contain the first three corners. The excluded corner will be the last one.
- Number these three corners in a counterclockwise sense when looking at the face from the excluded corner.

Keyword | LTRSpace |

Description | Linear tetrahedra element |

Specific parameters | - |

Unknowns | Three dofs (u-displacement, v-displacement, w-displacement) are required in each node. |

Approximation | Linear approximation of displacements and geometry using linear volume coordinates. |

Integration | Full integration of all strain components using four point Gauss integration formula. |

Features | Adaptivity support, Geometric nonlinearity support. |

CS properties | - |

Loads | Surface and Edge loadings supported. |

Nlgeo | 0,1,2. |

Status | Reliable |

Implementation of tetrahedra ten-node finite element. Each node has 3 degrees of freedom. The element features are summarized in Table 36. Following node numbering convention is adopted (see also Fig. 15):

Keyword | QTRSpace |

Description | 3D tetrahedra element with quadratic interpolation |

Specific parameters | [NIP #(in)] |

Parameters | NIP: allows to alter the default integration formula (possible completions are 1, 4 (default), 5, 11, 15, 24, and 45 point intergartion formulas). |

Unknowns | Three dofs (u-displacement, v-displacement, w-displacement) are required in each node. |

Approximation | Quadratic approximation of displacements and geometry using linear volume coordinates. |

Integration | Full integration of all strain components using four point Gauss integration formula. |

Features | - |

CS properties | - |

Loads | - |

Nlgeo | 0,1,2. |

Status | Reliable |

Implementation of wedge six-node finite element. Each node has 3 degrees of freedom. The element features are summarized in Table 37. Following node numbering convention is adopted (see also Fig. 16):

Keyword | LWedge |

Description | 3D wedge six-node finite element with linear interpolation |

Specific parameters | [NIP #(in)] |

Parameters | NIP: allows to alter the default integration formula (possible completions are 2 (default) and 9 point integration formulas). |

Unknowns | Three dofs (u-displacement, v-displacement, w-displacement) are required in each node. |

Approximation | Linear approximation of displacements and geometry. |

Integration | Full integration of all strain components using four point Gauss integration formula. |

Features | - |

CS properties | - |

Loads | - |

Nlgeo | 0,1,2. |

Status | Reliable |

Implementation of wedge fifteen-node finite element. Each node has 3 degrees of freedom. The element features are summarized in Table 38. Following node numbering convention is adopted (see also Fig. 17):

Keyword | QWedge |

Description | 3D wedge six-node finite element with quadratic interpolation |

Specific parameters | [NIP #(in)] |

Parameters | NIP: allows to alter the default integration formula (possible completions are 2 (default) and 9 point integration formulas). |

Unknowns | Three dofs (u-displacement, v-displacement, w-displacement) are required in each node. |

Approximation | Quadratic approximation of displacements and geometry. |

Integration | Full integration of all strain components using four point Gauss integration formula. |

Features | - |

CS properties | - |

Loads | - |

Nlgeo | 0,1,2. |

Status | Reliable |