Additional Element Formulations

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 PartOptionsAbaqus ElementDescription
Solid LinearHybridC3D4H4-node linear tetrahedron, hybrid, constant pressure
Solid LinearHybridC3D6H6-node linear triangular wedge, hybrid, constant pressure
Solid Linear, SweptHybridC3D8H8-node linear hexahedron, hybrid, constant pressure
Solid Linear, ExtrudedReduced IntegrationC3D8R8-node linear hexahedron, reduced integration, hourglass control
Solid Linear, ExtrudedIncompatible ModesC3D8I8-node linear hexahedron, incompatible modes
Solid Linear, ExtrudedHybrid & Reduced IntegrationC3D8RH8-node linear hexahedron, hybrid, constant pressure, reduced integration, hourglass control
Solid Linear, ExtrudedHybrid & Incompatible ModesC3D8IH8-node linear hexahedron, hybrid, constant pressure, incompatible modes
Solid ParabolicNoneC3D1010-node quadratic tetrahedron
Solid ParabolicModifiedC3D10M10-node modified tetrahedron, with hourglass control
Solid ParabolicHybridC3D10H10-node quadratic tetrahedron, hybrid, linear pressure
Solid ParabolicModified & HybridC3D10MH10-node modified quadratic tetrahedron, hybrid, linear pressure
Solid ParabolicHybridC3D15H15-node modified quadratic triangular wedge, hybrid, linear pressure
Solid Parabolic, ExtrudedReduced IntegrationC3D20R20-node quadratic hexahedron, reduced integration
Solid Parabolic, ExtrudedHybridC3D20H20-node quadratic hexahedron, hybrid, linear pressure
Solid Parabolic, ExtrudedHybrid & Reduced IntegrationC3D20RH20-node quadratic hexahedron, hybrid, linear pressure, reduced integration
2D LinearReduced IntegrationS3R3-node triangular general-purpose shell, finite membrane strains (identical to element S3)
2D LinearReduced IntegrationS4R4-node doubly curved general-purpose shell, reduced integration, hourglass control, finite membrane strains
2D LinearMembraneM3D33-node triangular membrane
2D LinearMembraneM3D44-node quadrilateral membrane
2D LinearMembraneM3D66-node triangular membrane
2D LinearMembraneM3D88-node quadrilateral membrane
Solid Linear, ExtrudedContinuum ShellSC6R6-node triangular in-plane continuum shell wedge, general-purpose continuum shell, finite membrane strains
Solid Linear, ExtrudedContinuum ShellSC8R8-node quadrilateral in-plane general-purpose continuum shell, reduced integration with hourglass control, finite membrane strains
Solid LinearGasketGK3D66-node three-dimensional gasket element
Solid LinearGasket & Thickness behavior onlyGK3D6N6-node three-dimensional gasket element with thickness-direction behavior only
Solid LinearGasketGK3D88-node three-dimensional gasket element
Solid LinearGasket & Thickness behavior onlyGK3D8N8-node three-dimensional gasket element with thickness-direction behavior only
Solid ParabolicGasketGK3D12M12-node three-dimensional gasket element
Solid ParabolicGasket & Thickness behavior onlyGK3D12MN12-node three-dimensional gasket element with thickness-direction behavior only
Solid ParabolicGasketGK3D186-node three-dimensional gasket element
Solid ParabolicGasket & Thickness behavior onlyGK3D18N6-node three-dimensional gasket element with thickness-direction behavior only