Cylindrical Solid Element Library

This section provides a reference to the cylindrical solid elements available in Abaqus/Standard.

This page discusses:

 

See Also
Solid (Continuum) Elements
*SOLID SECTION

Element Types

CCL9

9-node cylindrical prism, linear interpolation in the radial plane and trigonometric interpolation along the circumferential direction

CCL9H

9-node cylindrical prism, linear interpolation in the radial plane and trigonometric interpolation along the circumferential direction, hybrid with constant pressure in plane and linear pressure in the circumferential direction

CCL12

12-node cylindrical brick, linear interpolation in the radial plane and trigonometric interpolation along the circumferential direction

CCL12H

12-node cylindrical brick, linear interpolation in the radial plane and trigonometric interpolation along the circumferential direction, hybrid with constant pressure in plane and linear pressure in circumferential direction

CCL18

18-node cylindrical prism, quadratic interpolation in the radial plane and trigonometric interpolation along the circumferential direction

CCL18H

18-node cylindrical prism, quadratic interpolation in the radial plane and trigonometric interpolation along the circumferential direction, hybrid with linear pressure in plane and linear pressure in the circumferential direction

CCL24

24-node cylindrical brick, quadratic interpolation in the radial plane and trigonometric interpolation along the circumferential direction

CCL24H

24-node cylindrical brick, quadratic interpolation in the radial plane and trigonometric interpolation along the circumferential direction, hybrid with linear pressure in plane and linear pressure in circumferential direction

CCL24R

24-node cylindrical brick, reduced integration, quadratic interpolation in the radial plane and trigonometric interpolation along the circumferential direction

CCL24RH

24-node cylindrical brick, reduced integration, quadratic interpolation in the radial plane and trigonometric interpolation along the circumferential direction, hybrid with linear pressure in plane and linear pressure in circumferential direction

Active Degrees of Freedom

1, 2, 3

Additional Solution Variables

The hybrid elements with constant pressure in plane have two additional variables relating to pressure, and the linear pressure hybrid elements have six additional variables relating to pressure.

Nodal Coordinates Required

X, Y, Z

Element Property Definition

Element-Based Loading

Distributed Loads

Distributed loads are specified as described in Distributed Loads.

*dload
  1. Load ID (*DLOAD): BX
  2. FL−3

  3. Body force in global X-direction.

  1. Load ID (*DLOAD): BY
  2. FL−3

  3. Body force in global Y-direction.

  1. Load ID (*DLOAD): BZ
  2. FL−3

  3. Body force in global Z-direction.

  1. Load ID (*DLOAD): BXNU
  2. FL−3

  3. Nonuniform body force in global X-direction with magnitude supplied via user subroutine DLOAD.

  1. Load ID (*DLOAD): BYNU
  2. FL−3

  3. Nonuniform body force in global Y-direction with magnitude supplied via user subroutine DLOAD.

  1. Load ID (*DLOAD): BZNU
  2. FL−3

  3. Nonuniform body force in global Z-direction with magnitude supplied via user subroutine DLOAD.

  1. Load ID (*DLOAD): CENT
  2. FL−4(ML−3T−2)

  3. Centrifugal load (magnitude is input as ρ⁢ω2, where ρ is the mass density per unit volume, ω is the angular velocity).

  1. Load ID (*DLOAD): CENTRIF
  2. FL−4(ML−3T−1)

  3. Centrifugal load (magnitude is input as ω2, where ω is the angular velocity).

  1. Load ID (*DLOAD): CORIO
  2. FL−4T (ML−3T−1)

  3. Coriolis force (magnitude is input as ρ⁢ω, where ρ is the mass density per unit volume, ω is the angular velocity).

  1. Load ID (*DLOAD): GRAV
  2. LT−2

  3. Gravity loading in a specified direction (magnitude is input as acceleration).

  1. Load ID (*DLOAD): HPn
  2. FL−2

  3. Hydrostatic pressure on face n, linear in global Z.

  1. Load ID (*DLOAD): Pn
  2. FL−2

  3. Pressure on face n.

  1. Load ID (*DLOAD): ROTA
  2. T−2

  3. Rotary acceleration load (magnitude is input as α, where α is the rotary acceleration).

  1. Load ID (*DLOAD): ROTDYNF (S)
  2. T−1

  3. Rotordynamic load (magnitude is input as ω, where ω is the angular velocity).

  1. Load ID (*DLOAD): TRSHRn
  2. FL−2

  3. Shear traction on face n.

  1. Load ID (*DLOAD): TRSHRnNU (S)
  2. FL−2

  3. Nonuniform shear traction on face n with magnitude and direction supplied via user subroutine UTRACLOAD.

  1. Load ID (*DLOAD): TRVECn
  2. FL−2

  3. General traction on face n.

  1. Load ID (*DLOAD): TRVECnNU (S)
  2. FL−2

  3. Nonuniform general traction on face n with magnitude and direction supplied via user subroutine UTRACLOAD.

Foundations

Foundations are available for all cylindrical elements. They are specified as described in Element Foundations.

*foundation
  1. Load ID (*FOUNDATION): Fn
  2. FL−3

  3. Elastic foundation on face n.

Surface-Based Loading

Distributed Loads

Surface-based distributed loads are available for elements with displacement degrees of freedom. They are specified as described in Distributed Loads.

*dsload
  1. Load ID (*DSLOAD): HP
  2. FL−2

  3. Hydrostatic pressure on the element surface, linear in global Z.

  1. Load ID (*DSLOAD): Pn
  2. FL−2

  3. Pressure on the element surface.

  1. Load ID (*DSLOAD): PnNU
  2. FL−2

  3. Nonuniform pressure on the element surface with magnitude supplied via user subroutine DLOAD.

  1. Load ID (*DSLOAD): TRSHR
  2. FL−2

  3. Shear traction on the element surface.

  1. Load ID (*DSLOAD): TRSHRNU (S)
  2. FL−2

  3. Nonuniform shear traction on the element surface with magnitude and direction supplied via user subroutine UTRACLOAD.

  1. Load ID (*DSLOAD): TRVEC
  2. FL−2

  3. General traction on the element surface.

  1. Load ID (*DSLOAD): TRVECNU (S)
  2. FL−2

  3. Nonuniform general traction on the element surface with magnitude and direction supplied via user subroutine UTRACLOAD.

Element Output

Output is in a fixed cylindrical system (1=radial, 2=axial, 3=circumferential) unless a local coordinate system is assigned to the element through the section definition (Orientations) in which case output is in the local coordinate system (which rotates with the motion in large-displacement analysis). See State storage for details.

Stress, Strain, and Other Tensor Components

Stress and other tensors (including strain tensors) are available for elements with displacement degrees of freedom. All tensors have the same components. For example, the stress components are as follows:

S11

Local 11 direct stress.

S22

Local 22 direct stress.

S33

Local 33 direct stress.

S12

Local 12 shear stress.

S13

Local 13 shear stress.

S23

Local 23 shear stress.

Node Ordering and Face Numbering on Elements



Table 1. 12-node and 24-node cylindrical element faces
Face 1 1 – 2 – 3 – 4 face
Face 2 5 – 8 – 7 – 6 face
Face 3 1 – 5 – 6 – 2 face
Face 4 2 – 6 – 7 – 3 face
Face 5 3 – 7 – 8 – 4 face
Face 6 4 – 8 – 5 – 1 face
Table 2. 9-node and 18-node cylindrical element faces
Face 1 1 – 2 – 3 face
Face 2 4 – 6 – 5 face
Face 3 1 – 4 – 5 – 2 face
Face 4 2 – 5 – 6 – 3 face
Face 5 3 – 6 – 4 – 1 face

Numbering of Integration Points for Output



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