An element's formulation refers to the mathematical theory used to define the element's behavior. To accommodate different types of behavior, some element families in Abaqus include elements with several different formulations. You can choose additional formulations when you are modifying the global element assignment (every element of that type in the model) or the local element assignment (every element of that type in a selected part). The following additional element formulations are provided by Abaqus for CATIA V5:
Hybrid elements
Hybrid elements are intended primarily for use with incompressible and almost incompressible material behavior. When the material response is incompressible, the solution to a problem cannot be obtained in terms of the displacement history only, since a purely hydrostatic pressure can be added without changing the displacements. Hybrid elements have more internal variables than their nonhybrid counterparts and are slightly more expensive computationally.
Modified parabolic tetrahedral elements
Modified parabolic tetrahedral elements result in improved computational performance for components involved in contact interactions.
Reduced-integration elements
Abaqus uses numerical techniques to integrate various quantities over the volume of each element, thus allowing complete generality in material behavior. Using Gaussian quadrature for most elements, Abaqus evaluates the material response at each integration point in each element. Some elements in Abaqus can use full or reduced integration, a choice that can have a significant effect on the accuracy of the element for a given problem. Reduced integration uses a lower-order integration to form the element stiffness. The mass matrix and distributed loadings use full integration. Reduced integration reduces running time, especially in three dimensions.
Incompatible mode elements
Linear hexahedral elements with incompatible modes perform much better in pure bending applications than the standard linear hexahedron but with much less computational expense than parabolic elements.
Continuum shell elements
Continuum shell elements resemble three-dimensional solid elements in that they model an entire three-dimensional body, and their thickness is determined from the element nodal geometry. However, continuum shell elements are formulated so that their kinematic and constitutive behavior is similar to conventional shell elements. See Assigning Continuum Shell Properties to Solids for more information.
Gasket elements
Gasket elements are three-dimensional solid elements used to model thin sealing components that can be used between structural components in an assembly. See Assigning Gasket Properties to Solids for more information.
Membrane elements
Membrane elements are two-dimensional elements that transmit in-plane forces only. Membrane elements do not transmit moments, and they have no bending stiffness. See Assigning Membrane Properties to Surfaces for more information.
Table 5–4 lists the additional element types that are available in Abaqus for CATIA V5.
Table 5–4 Additional supported element types.
| Mesh Part | Options | Abaqus Element | Description |
|---|---|---|---|
| Solid Linear | Hybrid | C3D4H | 4-node linear tetrahedron, hybrid, constant pressure |
| Solid Linear | Hybrid | C3D6H | 6-node linear triangular wedge, hybrid, constant pressure |
| Solid Linear, Swept | Hybrid | C3D8H | 8-node linear hexahedron, hybrid, constant pressure |
| Solid Linear, Extruded | Reduced Integration | C3D8R | 8-node linear hexahedron, reduced integration, hourglass control |
| Solid Linear, Extruded | Incompatible Modes | C3D8I | 8-node linear hexahedron, incompatible modes |
| Solid Linear, Extruded | Hybrid & Reduced Integration | C3D8RH | 8-node linear hexahedron, hybrid, constant pressure, reduced integration, hourglass control |
| Solid Linear, Extruded | Hybrid & Incompatible Modes | C3D8IH | 8-node linear hexahedron, hybrid, constant pressure, incompatible modes |
| Solid Parabolic | None | C3D10 | 10-node quadratic tetrahedron |
| Solid Parabolic | Modified | C3D10M | 10-node modified tetrahedron, with hourglass control |
| Solid Parabolic | Hybrid | C3D10H | 10-node quadratic tetrahedron, hybrid, linear pressure |
| Solid Parabolic | Modified & Hybrid | C3D10MH | 10-node modified quadratic tetrahedron, hybrid, linear pressure |
| Solid Parabolic | Hybrid | C3D15H | 15-node modified quadratic triangular wedge, hybrid, linear pressure |
| Solid Parabolic, Extruded | Reduced Integration | C3D20R | 20-node quadratic hexahedron, reduced integration |
| Solid Parabolic, Extruded | Hybrid | C3D20H | 20-node quadratic hexahedron, hybrid, linear pressure |
| Solid Parabolic, Extruded | Hybrid & Reduced Integration | C3D20RH | 20-node quadratic hexahedron, hybrid, linear pressure, reduced integration |
| 2D Linear | Reduced Integration | S3R | 3-node triangular general-purpose shell, finite membrane strains (identical to element S3) |
| 2D Linear | Reduced Integration | S4R | 4-node doubly curved general-purpose shell, reduced integration, hourglass control, finite membrane strains |
| 2D Linear | Membrane | M3D3 | 3-node triangular membrane |
| 2D Linear | Membrane | M3D4 | 4-node quadrilateral membrane |
| 2D Linear | Membrane | M3D6 | 6-node triangular membrane |
| 2D Linear | Membrane | M3D8 | 8-node quadrilateral membrane |
| Solid Linear, Extruded | Continuum Shell | SC6R | 6-node triangular in-plane continuum shell wedge, general-purpose continuum shell, finite membrane strains |
| Solid Linear, Extruded | Continuum Shell | SC8R | 8-node quadrilateral in-plane general-purpose continuum shell, reduced integration with hourglass control, finite membrane strains |
| Solid Linear | Gasket | GK3D6 | 6-node three-dimensional gasket element |
| Solid Linear | Gasket & Thickness behavior only | GK3D6N | 6-node three-dimensional gasket element with thickness-direction behavior only |
| Solid Linear | Gasket | GK3D8 | 8-node three-dimensional gasket element |
| Solid Linear | Gasket & Thickness behavior only | GK3D8N | 8-node three-dimensional gasket element with thickness-direction behavior only |
| Solid Parabolic | Gasket | GK3D12M | 12-node three-dimensional gasket element |
| Solid Parabolic | Gasket & Thickness behavior only | GK3D12MN | 12-node three-dimensional gasket element with thickness-direction behavior only |
| Solid Parabolic | Gasket | GK3D18 | 6-node three-dimensional gasket element |
| Solid Parabolic | Gasket & Thickness behavior only | GK3D18N | 6-node three-dimensional gasket element with thickness-direction behavior only |