Infinite Element Library

This section provides a reference to the infinite elements available in Abaqus/Standard and Abaqus/Explicit.

This page discusses:

Element Types

Plane Strain Solid Continuum Infinite Elements

CINPE4

4-node linear, one-way infinite

CINPE5R(S)

5-node quadratic, one-way infinite

Active Degrees of Freedom

1, 2

Additional Solution Variables

None.

Plane Stress Solid Continuum Infinite Elements

CINPS4

4-node linear, one-way infinite

CINPS5R(S)

5-node quadratic, one-way infinite

Active Degrees of Freedom

1, 2

Additional Solution Variables

None.

3D Solid Continuum Infinite Elements

CIN3D8

8-node linear, one-way infinite

CIN3D12R(S)

12-node quadratic, one-way infinite

CIN3D18R(S)

18-node quadratic, one-way infinite

Active Degrees of Freedom

1, 2, 3

Additional Solution Variables

None.

Axisymmetric Solid Continuum Infinite Elements

CINAX4

4-node linear, one-way infinite

CINAX5R(S)

5-node quadratic, one-way infinite

Active Degrees of Freedom

1, 2

Additional Solution Variables

None.

2D Acoustic Infinite Elements

ACIN2D2

2-node linear, acoustic infinite

ACIN2D3(S)

3-node quadratic, acoustic infinite

Active Degrees of Freedom

8

3D Acoustic Infinite Elements

ACIN3D3

3-node linear, acoustic infinite triangular element

ACIN3D4

4-node linear, acoustic infinite quadrilateral element

ACIN3D6(S)

6-node quadratic, acoustic infinite triangular element

ACIN3D8(S)

8-node quadratic, acoustic infinite quadrilateral element

Active Degrees of Freedom

8

Axisymmetric Acoustic Infinite Elements

ACINAX2

2-node linear, acoustic infinite

ACINAX3(S)

3-node quadratic, acoustic infinite

Active Degrees of Freedom

8

Nodal Coordinates Required

Plane stress and plane strain solid continuum elements: X, Y

2D acoustic elements: X, Y

3D solid continuum and acoustic elements: X, Y, Z

Axisymmetric solid continuum and acoustic elements: r, z

Normal directions are not specified at nodes used in acoustic infinite elements; they will be computed automatically. See Infinite Elements for details.

Element Property Definition

For two-dimensional, plane strain, and plane stress elements, you must provide the thickness of the elements; by default, unit thickness is assumed.

For three-dimensional and axisymmetric solid elements, you do not need to specify a thickness.

For acoustic elements, you must specify the reference point in addition to the thickness.

Element-Based Loading

None.

Element Output

Stress, Strain, and Other Tensor Components

No output is available from Abaqus/Explicit for infinite elements. Stress and other tensors (including strain tensors) are available from Abaqus/Standard for infinite elements with displacement degrees of freedom. All tensors have the same components. For example, the stress components are as follows:

S11

XX direct stress or radial stress for axisymmetric elements.

S22

YY direct stress or axial stress for axisymmetric elements.

S33

ZZ direct stress (not available for plane stress elements) or hoop stress for axisymmetric elements.

S12

XY shear stress or shear stress for axisymmetric elements.

S13

XZ shear stress (not available for plane stress, plane strain, and axisymmetric elements).

S23

YZ shear stress (not available for plane stress, plane strain, and axisymmetric elements).

Node Ordering and Face Numbering on Elements

Plane Stress and Plane Strain Solid Continuum Elements



 

Axisymmetric Solid Continuum Elements



 

Three-Dimensional Solid Continuum Elements



 

Two-Dimensional and Axisymmetric Acoustic Infinite Elements



 

Three-Dimensional Acoustic Infinite Elements



 

Numbering of Integration Points for Output

Plane Stress and Plane Strain Solid Continuum Elements



 

Axisymmetric Solid Continuum Elements



 

Three-Dimensional Solid Continuum Elements



This shows the scheme in the layer closest to the 1–2–3–4 face. The integration points in the second layer are numbered consecutively.