22.1.6 Axisymmetric solid element library

Products: ABAQUS/Standard  ABAQUS/Explicit  ABAQUS/CAE  

References

Conventions

Coordinate 1 is , coordinate 2 is . At the r-direction corresponds to the global x-direction and the z-direction corresponds to the global y-direction. This is important when data must be given in global directions. Coordinate 1 must be greater than or equal to zero.

Degree of freedom 1 is , degree of freedom 2 is . Generalized axisymmetric elements with twist have an additional degree of freedom, 5, corresponding to the twist angle (in radians).

ABAQUS does not automatically apply any boundary conditions to nodes located along the symmetry axis. You must apply radial or symmetry boundary conditions on these nodes if desired.

In certain situations in ABAQUS/Standard it may become necessary to apply radial boundary conditions on nodes that are located on the symmetry axis to obtain convergence in nonlinear problems. Therefore, the application of radial boundary conditions on nodes on the symmetry axis is recommended for nonlinear problems.

Point loads and moments, concentrated (nodal) fluxes, electrical currents, and seepage should be given as the value integrated around the circumference (that is, the total value on the ring).

Element types

Stress/displacement elements without twist

CAX33-node linear
CAX3H(S)    3-node linear, hybrid with constant pressure
CAX4(S)    4-node bilinear
CAX4H(S)    4-node bilinear, hybrid with constant pressure
CAX4I(S)    4-node bilinear, incompatible modes
CAX4IH(S)    4-node bilinear, incompatible modes, hybrid with linear pressure
CAX4R4-node bilinear, reduced integration with hourglass control
CAX4RH(S)    4-node bilinear, reduced integration with hourglass control, hybrid with constant pressure
CAX6(S)    6-node quadratic
CAX6H(S)    6-node quadratic, hybrid with linear pressure
CAX6M6-node modified, with hourglass control
CAX6MH(S)    6-node modified, with hourglass control, hybrid with linear pressure
CAX8(S)    8-node biquadratic
CAX8H(S)    8-node biquadratic, hybrid with linear pressure
CAX8R(S)    8-node biquadratic, reduced integration
CAX8RH(S)    8-node biquadratic, reduced integration, hybrid with linear pressure

Active degrees of freedom

1, 2

Additional solution variables

The constant pressure hybrid elements have one additional variable and the linear pressure elements have three additional variables relating to pressure.

Element types CAX4I and CAX4IH have five additional variables relating to the incompatible modes.

Element types CAX6M and CAX6MH have two additional displacement variables.

Stress/displacement elements with twist

CGAX3(S)    3-node linear
CGAX3H(S)    3-node linear, hybrid with constant pressure
CGAX4(S)    4-node bilinear
CGAX4H(S)    4-node bilinear, hybrid with constant pressure
CGAX4R(S)    4-node bilinear, reduced integration with hourglass control
CGAX4RH(S)    4-node bilinear, reduced integration with hourglass control, hybrid with constant pressure
CGAX6(S)    6-node quadratic
CGAX6H(S)    6-node quadratic, hybrid with linear pressure
CGAX6M(S)    6-node modified, with hourglass control
CGAX6MH(S)    6-node modified, with hourglass control, hybrid with linear pressure
CGAX8(S)    8-node biquadratic
CGAX8H(S)    8-node biquadratic, hybrid with linear pressure
CGAX8R(S)    8-node biquadratic, reduced integration
CGAX8RH(S)    8-node biquadratic, reduced integration, hybrid with linear pressure

Active degrees of freedom

1, 2, 5

Additional solution variables

The constant pressure hybrid elements have one additional variable and the linear pressure elements have three additional variables relating to pressure.

Element types CGAX6M and CGAX6MH have three additional displacement variables.

Diffusive heat transfer or mass diffusion elements

DCAX3(S)    3-node linear
DCAX4(S)    4-node linear
DCAX6(S)    6-node quadratic
DCAX8(S)    8-node quadratic

Active degree of freedom

11

Additional solution variables

None.

Forced convection/diffusion elements

DCCAX2(S)    2-node
DCCAX2D(S)    2-node with dispersion control
DCCAX4(S)    4-node
DCCAX4D(S)    4-node with dispersion control

Active degree of freedom

11

Additional solution variables

None.

Coupled thermal-electrical elements

DCAX3E(S)    3-node linear
DCAX4E(S)    4-node linear
DCAX6E(S)    6-node quadratic
DCAX8E(S)    8-node quadratic

Active degrees of freedom

9, 11

Additional solution variables

None.

Coupled temperature-displacement elements without twist

CAX3T(E)    3-node linear displacement and temperature
CAX4T(S)    4-node bilinear displacement and temperature
CAX4HT(S)    4-node bilinear displacement and temperature, hybrid with constant pressure
CAX4RT4-node bilinear displacement and temperature, reduced integration with hourglass control
CAX4RHT(S)    4-node bilinear displacement and temperature, reduced integration with hourglass control, hybrid with constant pressure
CAX6MT6-node modified displacement and temperature, with hourglass control
CAX6MHT(S)    6-node modified displacement and temperature, with hourglass control, hybrid with linear pressure
CAX8T(S)    8-node biquadratic displacement, bilinear temperature
CAX8HT(S)    8-node biquadratic displacement, bilinear temperature, hybrid with linear pressure
CAX8RT(S)    8-node biquadratic displacement, bilinear temperature, reduced integration
CAX8RHT(S)    8-node biquadratic displacement, bilinear temperature, reduced integration, hybrid with linear pressure

Active degrees of freedom

1, 2, 11 at corner nodes

1, 2 at midside nodes of second-order elements in ABAQUS/Standard

1, 2, 11 at midside nodes of the modified displacement and temperature elements in ABAQUS/Standard

Additional solution variables

The constant pressure hybrid elements have one additional variable and the linear pressure elements have three additional variables relating to pressure.

Element types CAX6MT and CAX6MHT have two additional displacement variables and one additional temperature variable.

Coupled temperature-displacement elements with twist

CGAX3T(S)    3-node linear displacement and temperature
CGAX3HT(S)    3-node linear displacement and temperature, hybrid with constant pressure
CGAX4T(S)    4-node bilinear displacement and temperature
CGAX4HT(S)    4-node bilinear displacement and temperature, hybrid with constant pressure
CGAX4RT(S)    4-node bilinear displacement and temperature, reduced integration with hourglass control
CGAX4RHT(S)    4-node bilinear displacement and temperature, reduced integration with hourglass control, hybrid with constant pressure
CGAX6MT(S)    6-node modified displacement and temperature, with hourglass control
CGAX6MHT(S)    6-node modified displacement and temperature, with hourglass control, hybrid with constant pressure
CGAX8T(S)    8-node biquadratic displacement, bilinear temperature
CGAX8HT(S)    8-node biquadratic displacement, bilinear temperature, hybrid with linear pressure
CGAX8RT(S)    8-node biquadratic displacement, bilinear temperature, reduced integration
CGAX8RHT(S)    8-node biquadratic displacement, bilinear temperature, reduced integration, hybrid with linear pressure

Active degrees of freedom

1, 2, 5, 11 at corner nodes

1, 2, 5 at midside nodes of second-order elements

1, 2, 5, 11 at midside nodes of the modified displacement and temperature elements

Additional solution variables

The constant pressure hybrid elements have one additional variable and the linear pressure elements have three additional variables relating to pressure.

Element types CGAX6MT and CGAX6MHT have two additional displacement variables and one additional temperature variable.

Pore pressure elements

CAX4P(S)    4-node bilinear displacement and pore pressure
CAX4PH(S)    4-node bilinear displacement and pore pressure, hybrid with constant pressure
CAX4RP(S)    4-node bilinear displacement and pore pressure, reduced integration with hourglass control
CAX4RPH(S)    4-node bilinear displacement and temperature, reduced integration with hourglass control, hybrid with constant pressure
CAX6MP(S)    6-node modified displacement and pore pressure, with hourglass control
CAX6MPH(S)    6-node modified displacement and pore pressure, with hourglass control, hybrid with linear pressure
CAX8P(S)    8-node biquadratic displacement, bilinear pore pressure
CAX8PH(S)    8-node biquadratic displacement, bilinear pore pressure, hybrid with linear pressure
CAX8RP(S)    8-node biquadratic displacement, bilinear pore pressure, reduced integration
CAX8RPH(S)    8-node biquadratic displacement, bilinear pore pressure, reduced integration, hybrid with linear pressure

Active degrees of freedom

1, 2, 8 at corner nodes

1, 2 at midside nodes

Additional solution variables

The constant pressure hybrid elements have one additional variable relating to the effective pressure stress, and the linear pressure hybrid elements have three additional variables relating to the effective pressure stress to permit fully incompressible material modeling.

Element types CAX6MP and CAX6MPH have two additional displacement variables and one additional pore pressure variable.

Acoustic elements

ACAX33-node linear
ACAX4R(E)    4-node linear, reduced integration with hourglass control
ACAX4(S)    4-node linear
ACAX6(S)    6-node quadratic
ACAX8(S)    8-node quadratic

Active degree of freedom

8

Additional solution variables

None.

Piezoelectric elements

CAX3E(S)    3-node linear
CAX4E(S)    4-node bilinear
CAX6E(S)    6-node quadratic
CAX8E(S)    8-node biquadratic
CAX8RE(S)    8-node biquadratic, reduced integration

Active degrees of freedom

1, 2, 9

Additional solution variables

None.

Nodal coordinates required

r, z at

Element property definition

For element types DCCAX2 and DCCAX2D, you must specify the channel thickness of the element in the (rz) plane. The default is unit thickness if no thickness is given.

For all other elements, you do not need to specify the thickness.

Input File Usage:           
*SOLID SECTION

ABAQUS/CAE Usage: 

Property module: Create Section: select Solid as the section Category and Homogeneous as the section Type


Element-based loading

Distributed loads

Distributed loads are available for all elements with displacement degrees of freedom. They are specified as described in Distributed loads, Section 27.4.3. Distributed load magnitudes are per unit area or per unit volume. They do not need to be multiplied by .


Load ID (*DLOAD):  BR

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Body force in radial direction.


Load ID (*DLOAD):  BZ

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Body force in axial direction.


Load ID (*DLOAD):  BRNU

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Nonuniform body force in radial direction with magnitude supplied via user subroutine DLOAD in ABAQUS/Standard and VDLOAD in ABAQUS/Explicit.


Load ID (*DLOAD):  BZNU

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Nonuniform body force in axial direction with magnitude supplied via user subroutine DLOAD in ABAQUS/Standard and VDLOAD in ABAQUS/Explicit.


Load ID (*DLOAD):  CENT(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–4M–3T–2

Description:  Centrifugal load (magnitude input as , where is the mass density per unit volume, is the angular velocity). Not available for pore pressure elements.


Load ID (*DLOAD):  CENTRIF(S)

ABAQUS/CAE Load/Interaction:  Rotational body force

Units:  T–2

Description:  Centrifugal load (magnitude is input as , where is the angular velocity).


Load ID (*DLOAD):  GRAV

ABAQUS/CAE Load/Interaction:  Gravity

Units:  LT–2

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


Load ID (*DLOAD):  HPn(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Hydrostatic pressure on face n, linear in global Z.


Load ID (*DLOAD):  Pn

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  Pressure on face n.


Load ID (*DLOAD):  PnNU

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Nonuniform pressure on face n with magnitude supplied via user subroutine DLOAD in ABAQUS/Standard and VDLOAD in ABAQUS/Explicit.


Load ID (*DLOAD):  SBF(E)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–5T2

Description:  Stagnation body force in radial and axial directions.


Load ID (*DLOAD):  SPn(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–4T2

Description:  Stagnation pressure on face n.


Load ID (*DLOAD):  TRSHRn

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Shear traction on face n.


Load ID (*DLOAD):  TRSHRnNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

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


Load ID (*DLOAD):  TRVECn

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  General traction on face n.


Load ID (*DLOAD):  TRVECnNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

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


Load ID (*DLOAD):  VBF(E)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–4T

Description:  Viscous body force in radial and axial directions.


Load ID (*DLOAD):  VPn(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–3T

Description:  Viscous pressure on face n, applying a pressure proportional to the velocity normal to the face and opposing the motion.

Foundations

Foundations are available for ABAQUS/Standard elements with displacement degrees of freedom. They are specified as described in Element foundations, Section 2.2.2.


Load ID (*FOUNDATION):  Fn(S)

ABAQUS/CAE Load/Interaction:  Elastic foundation

Units:  FL–3

Description:  Elastic foundation on face n. For CGAX elements the elastic foundations are applied to degrees of freedom and only.

Distributed heat fluxes

Distributed heat fluxes are available for all elements with temperature degrees of freedom. They are specified as described in Thermal loads, Section 27.4.4. Distributed heat flux magnitudes are per unit area or per unit volume. They do not need to be multiplied by .


Load ID (*DFLUX):  BF

ABAQUS/CAE Load/Interaction:  Body heat flux

Units:  JL–3T–1

Description:  Heat body flux per unit volume.


Load ID (*DFLUX):  BFNU(S)

ABAQUS/CAE Load/Interaction:  Body heat flux

Units:  JL–3T–1

Description:  Nonuniform heat body flux per unit volume with magnitude supplied via user subroutine DFLUX.


Load ID (*DFLUX):  Sn

ABAQUS/CAE Load/Interaction:  Not supported

Units:  JL–2T–1

Description:  Heat surface flux per unit area into face n.


Load ID (*DFLUX):  SnNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  JL–2T–1

Description:  Nonuniform heat surface flux per unit area into face n with magnitude supplied via user subroutine DFLUX.

Film conditions

Film conditions are available for all elements with temperature degrees of freedom. They are specified as described in Thermal loads, Section 27.4.4.


Load ID (*FILM):  Fn

ABAQUS/CAE Load/Interaction:  Surface film condition

Units:  JL–2T–1–1

Description:  Film coefficient and sink temperature (units of ) provided on face n.


Load ID (*FILM):  FnNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  JL–2T–1–1

Description:  Nonuniform film coefficient and sink temperature (units of ) provided on face n with magnitude supplied via user subroutine FILM.

Radiation types

Radiation conditions are available for all elements with temperature degrees of freedom. They are specified as described in Thermal loads, Section 27.4.4.


Load ID (*RADIATE):  Rn

ABAQUS/CAE Load/Interaction:  Not supported

Units:  Dimensionless

Description:  Emissivity and sink temperature provided for face n.

Distributed flows

Distributed flows are available for all elements with pore pressure degrees of freedom. They are specified as described in Pore fluid flow, Section 27.4.6. Distributed flow magnitudes are per unit area or per unit volume. They do not need to be multiplied by .


Load ID (*FLOW/ *DFLOW):  Qn(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  F–1L3T–1

Description:  Seepage (outward normal flow) proportional to the difference between surface pore pressure and a reference sink pore pressure on face n (units of FL–2).


Load ID (*FLOW/ *DFLOW):  QnD(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  F–1L3T–1

Description:  Drainage-only seepage (outward normal flow) proportional to the surface pore pressure on face n only when that pressure is positive.


Load ID (*FLOW/ *DFLOW):  QnNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  F–1L3T–1

Description:  Nonuniform seepage (outward normal flow) proportional to the difference between surface pore pressure and a reference sink pore pressure on face n (units of FL–2) with magnitude supplied via user subroutine FLOW.


Load ID (*FLOW/ *DFLOW):  Sn(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  LT–1

Description:  Prescribed pore fluid effective velocity (outward from the face) on face n.


Load ID (*FLOW/ *DFLOW):  SnNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  LT–1

Description:  Nonuniform prescribed pore fluid effective velocity (outward from the face) on face n with magnitude supplied via user subroutine DFLOW.

Distributed impedances

Distributed impedances are available for all elements with acoustic pressure degrees of freedom. They are specified as described in Acoustic loads, Section 27.4.5.


Load ID (*IMPEDANCE):  In

ABAQUS/CAE Load/Interaction:  Not supported

Units:  None

Description:  Name of the impedance property that defines the impedance on face n.

Electric fluxes

Electric fluxes are available for piezoelectric elements. They are specified as described in Piezoelectric analysis, Section 6.6.3.


Load ID (*DECHARGE):  EBF(S)

ABAQUS/CAE Load/Interaction:  Body charge

Units:  CL–3

Description:  Body flux per unit volume.


Load ID (*DECHARGE):  ESn(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  CL–2

Description:  Prescribed surface charge on face n.

Distributed electric current densities

Distributed electric current densities are available for coupled thermal-electrical elements. They are specified as described in Coupled thermal-electrical analysis, Section 6.6.2.


Load ID (*DECURRENT):  CBF(S)

ABAQUS/CAE Load/Interaction:  Body current

Units:  CL–3T–1

Description:  Volumetric current source density.


Load ID (*DECURRENT):  CSn(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  CL–2T–1

Description:  Current density on face n.

Distributed concentration fluxes

Distributed concentration fluxes are available for mass diffusion elements. They are specified as described in Mass diffusion analysis, Section 6.8.1.


Load ID (*DFLUX):  BF(S)

ABAQUS/CAE Load/Interaction:  Body concentration flux

Units:  PT–1

Description:  Concentration body flux per unit volume.


Load ID (*DFLUX):  BFNU(S)

ABAQUS/CAE Load/Interaction:  Body concentration flux

Units:  PT–1

Description:  Nonuniform concentration body flux per unit volume with magnitude supplied via user subroutine DFLUX.


Load ID (*DFLUX):  Sn(S)

ABAQUS/CAE Load/Interaction:  Surface concentration flux

Units:  PLT–1

Description:  Concentration surface flux per unit area into face n.


Load ID (*DFLUX):  SnNU(S)

ABAQUS/CAE Load/Interaction:  Surface concentration flux

Units:  PLT–1

Description:  Nonuniform concentration surface flux per unit area into face n with magnitude supplied via user subroutine DFLUX.

Surface-based loading

Distributed loads

Surface-based distributed loads are available for all elements with displacement degrees of freedom. They are specified as described in Distributed loads, Section 27.4.3. Distributed load magnitudes are per unit area or per unit volume. They do not need to be multiplied by .


Load ID (*DSLOAD):  HP(S)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

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


Load ID (*DSLOAD):  P

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  Pressure on the element surface.


Load ID (*DSLOAD):  PNU

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  Nonuniform pressure on the element surface with magnitude supplied via user subroutine DLOAD in ABAQUS/Standard and VDLOAD in ABAQUS/Explicit.


Load ID (*DSLOAD):  SP(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–4T2

Description:  Stagnation pressure on the element surface.


Load ID (*DSLOAD):  TRSHR

ABAQUS/CAE Load/Interaction:  Surface traction

Units:  FL–2

Description:  Shear traction on the element surface.


Load ID (*DSLOAD):  TRSHRNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

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


Load ID (*DSLOAD):  TRVEC

ABAQUS/CAE Load/Interaction:  Surface traction

Units:  FL–2

Description:  General traction on the element surface.


Load ID (*DSLOAD):  TRVECNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

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


Load ID (*DSLOAD):  VP(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–3T

Description:  Viscous pressure applied on the element surface. The viscous pressure is proportional to the velocity normal to the face and opposing the motion.

Distributed heat fluxes

Surface-based heat fluxes are available for all elements with temperature degrees of freedom. They are specified as described in Thermal loads, Section 27.4.4. Distributed heat flux magnitudes are per unit area or per unit volume. They do not need to be multiplied by .


Load ID (*DSFLUX):  S

ABAQUS/CAE Load/Interaction:  Surface heat flux

Units:  JL–2T–1

Description:  Heat surface flux per unit area into the element surface.


Load ID (*DSFLUX):  SNU(S)

ABAQUS/CAE Load/Interaction:  Surface heat flux

Units:  JL–2T–1

Description:  Nonuniform heat surface flux per unit area into the element surface with magnitude supplied via user subroutine DFLUX.

Film conditions

Surface-based film conditions are available for all elements with temperature degrees of freedom. They are specified as described in Thermal loads, Section 27.4.4.


Load ID (*SFILM):  F

ABAQUS/CAE Load/Interaction:  Surface film condition

Units:  JL–2T–1–1

Description:  Film coefficient and sink temperature (units of ) provided on the element surface.


Load ID (*SFILM):  FNU(S)

ABAQUS/CAE Load/Interaction:  Surface film condition

Units:  JL–2T–1–1

Description:  Nonuniform film coefficient and sink temperature (units of ) provided on the element surface with magnitude supplied via user subroutine FILM.

Radiation types

Surface-based radiation conditions are available for all elements with temperature degrees of freedom. They are specified as described in Thermal loads, Section 27.4.4.


Load ID (*SRADIATE):  R

ABAQUS/CAE Load/Interaction:  Surface radiation to ambient

Units:  Dimensionless

Description:  Emissivity and sink temperature provided for the element surface.

Distributed flows

Surface-based distributed flows are available for all elements with pore pressure degrees of freedom. They are specified as described in Pore fluid flow, Section 27.4.6. Distributed flow magnitudes are per unit area or per unit volume. They do not need to be multiplied by .


Load ID (*SFLOW/ *DSFLOW):  Q(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  F–1L3T–1

Description:  Seepage (outward normal flow) proportional to the difference between surface pore pressure and a reference sink pore pressure on the element surface (units of FL–2).


Load ID (*SFLOW/ *DSFLOW):  QD(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  F–1L3T–1

Description:  Drainage-only seepage (outward normal flow) proportional to the surface pore pressure on the element surface only when that pressure is positive.


Load ID (*SFLOW/ *DSFLOW):  QNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  F–1L3T–1

Description:  Nonuniform seepage (outward normal flow) proportional to the difference between surface pore pressure and a reference sink pore pressure on the element surface (units of FL–2) with magnitude supplied via user subroutine FLOW.


Load ID (*SFLOW/ *DSFLOW):  S(S)

ABAQUS/CAE Load/Interaction:  Surface pore fluid

Units:  LT–1

Description:  Prescribed pore fluid effective velocity outward from the element surface.


Load ID (*SFLOW/ *DSFLOW):  SNU(S)

ABAQUS/CAE Load/Interaction:  Surface pore fluid

Units:  LT–1

Description:  Nonuniform prescribed pore fluid effective velocity outward from the element surface with magnitude supplied via user subroutine DFLOW.

Distributed impedances

Surface-based impedances are available for all elements with acoustic pressure degrees of freedom. They are specified as described in Acoustic loads, Section 27.4.5.

Incident wave loading

Surface-based incident wave loads are available for all elements with displacement degrees of freedom or acoustic pressure degrees of freedom. They are specified as described in Acoustic loads, Section 27.4.5. If the incident wave field includes a reflection off a plane outside the boundaries of the mesh, this effect can be included.

Electric fluxes

Surface-based electric fluxes are available for piezoelectric elements. They are specified as described in Piezoelectric analysis, Section 6.6.3.


Load ID (*DSECHARGE):  ES(S)

ABAQUS/CAE Load/Interaction:  Surface charge

Units:  CL–2

Description:  Prescribed surface charge on the element surface.

Distributed electric current densities

Surface-based electric current densities are available for coupled thermal-electrical elements. They are specified as described in Coupled thermal-electrical analysis, Section 6.6.2.


Load ID (*DSECURRENT):  CS(S)

ABAQUS/CAE Load/Interaction:  Surface current

Units:  CL–2T–1

Description:  Current density on the element surface.

Element output

Output is in global directions unless a local coordinate system is assigned to the element through either the section definition (Orientations, Section 2.2.5) or an element property assignment (Assigning element properties on an element-by-element basis, Section 21.1.5), in which case output is in the local coordinate system (which rotates with the motion in large-displacement analysis). See State storage, Section 1.5.4 of the ABAQUS Theory Manual, for details. For regular axisymmetric elements, the local orientation must be in the z plane with being a principal direction. For generalized axisymmetric elements with twist, the local orientation can be arbitrary.

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:

For elements with displacement degrees of freedom without twist:

S11

Stress in the radial direction or in the local 1-direction.

S22

Stress in the axial direction or in the local 2-direction.

S33

Hoop direct stress.

S12

Shear stress.


For elements with displacement degrees of freedom with twist:

S11

Stress in the radial direction or in the local 1-direction.

S22

Stress in the axial direction or in the local 2-direction.

S33

Stress in the circumferential direction or in the local 3-direction.

S12

Shear stress.

S13

Shear stress.

S23

Shear stress.


Heat flux components

Available for elements with temperature degrees of freedom.

HFL1

Heat flux in the radial direction or in the local 1-direction.

HFL2

Heat flux in the axial direction or in the local 2-direction.


Pore fluid velocity components

Available for elements with pore pressure degrees of freedom, except for acoustic elements.

FLVEL1

Pore fluid effective velocity in the radial direction or in the local 1-direction.

FLVEL2

Pore fluid effective velocity in the axial direction or in the local 2-direction.


Mass concentration flux components

Available for elements with normalized concentration degrees of freedom.

MFL1

Concentration flux in the radial direction or in the local 1-direction.

MFL2

Concentration flux in the axial direction or in the local 2-direction.


Electrical potential gradient

Available for elements with electrical potential degrees of freedom.

EPG1

Electrical potential gradient in the 1-direction.

EPG2

Electrical potential gradient in the 2-direction.


Electrical flux components

Available for piezoelectric elements.

EFLX1

Electrical flux in the 1-direction.

EFLX2

Electrical flux in the 2-direction.


Electrical current density components

Available for coupled thermal-electrical elements.

ECD1

Electrical current density in the 1-direction.

ECD2

Electrical current density in the 2-direction.


Node ordering and face numbering on elements

2-node element faces

Face 1Section at node 1
Face 2Section at node 2

Triangular element faces

Face 11 – 2 face
Face 22 – 3 face
Face 33 – 1 face

Quadrilateral element faces

Face 11 – 2 face
Face 22 – 3 face
Face 33 – 4 face
Face 44 – 1 face

Numbering of integration points for output

For heat transfer applications a different integration scheme is used for triangular elements, as described in Triangular, tetrahedral, and wedge elements, Section 3.2.6 of the ABAQUS Theory Manual.