23.1.2 General membrane element library

Products: ABAQUS/Standard  ABAQUS/Explicit  ABAQUS/CAE  

References

Element types

M3D33-node triangle
M3D44-node quadrilateral
M3D4R4-node quadrilateral, reduced integration, hourglass control
M3D6(S)    6-node triangle
M3D8(S)    8-node quadrilateral
M3D8R(S)    8-node quadrilateral, reduced integration
M3D9(S)    9-node quadrilateral
M3D9R(S)    9-node quadrilateral, reduced integration, hourglass control

Active degrees of freedom

1, 2, 3

Additional solution variables

None.

Nodal coordinates required

X, Y, Z

Element property definition

Input File Usage:           
*MEMBRANE SECTION

In addition, use the following option for variable thickness membranes:
*NODAL THICKNESS

ABAQUS/CAE Usage: Property module: Create Section: select Shell as the section Category and Membrane as the section Type

You cannot define variable thickness membranes in ABAQUS/CAE.


Element-based loading

Distributed loads

Distributed loads are specified as described in Distributed loads, Section 27.4.3.


Load ID (*DLOAD):  BX

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Body force in the global X-direction.


Load ID (*DLOAD):  BY

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Body force in the global Y-direction.


Load ID (*DLOAD):  BZ

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Body force in the global Z-direction.


Load ID (*DLOAD):  BXNU

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

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


Load ID (*DLOAD):  BYNU

ABAQUS/CAE Load/Interaction:  Body force

Units:  FL–3

Description:  Nonuniform body force in the global Y-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 the global Z-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–4 (ML–3T–2)

Description:  Centrifugal load (magnitude is input as , where is the mass density per unit volume, is the angular velocity).


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):  CORIO(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–4T (ML–3T–1)

Description:  Coriolis force (magnitude is input as , where is the mass density per unit volume, is the angular velocity). The load stiffness due to Coriolis loading is not accounted for in direct steady-state dynamic analysis.


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):  HP(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Hydrostatic pressure applied to the element reference surface and linear in global Z. The pressure is positive in the direction of the positive element normal.


Load ID (*DLOAD):  P

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Pressure applied to the element reference surface. The pressure is positive in the direction of the positive element normal.


Load ID (*DLOAD):  PNU

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Nonuniform pressure applied to the element reference surface with magnitude supplied via user subroutine DLOAD in ABAQUS/Standard  and VDLOAD in ABAQUS/Explicit. The pressure is positive in the direction of the positive element normal.


Load ID (*DLOAD):  ROTA(S)

ABAQUS/CAE Load/Interaction:  Rotational body force

Units:  T–2

Description:  Rotary acceleration load (magnitude is input as , where is the rotary acceleration).


Load ID (*DLOAD):  SBF(E)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–5T2

Description:  Stagnation body force in global X-, Y-, and Z-directions.


Load ID (*DLOAD):  SP(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–4T2

Description:  Stagnation pressure applied to the element reference surface.


Load ID (*DLOAD):  TRSHR

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Shear traction on the element reference surface.


Load ID (*DLOAD):  TRSHRNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

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


Load ID (*DLOAD):  TRVEC

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  General traction on the element reference surface.


Load ID (*DLOAD):  TRVECNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Nonuniform general traction on the element reference surface 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 global X-, Y-, and Z-directions.


Load ID (*DLOAD):  VP(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–3T

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

Foundations

Foundations are available only in ABAQUS/Standard and are specified as described in Element foundations, Section 2.2.2.


Load ID (*FOUNDATION):  F(S)

ABAQUS/CAE Load/Interaction:  Elastic foundation

Units:  FL–3

Description:  Elastic foundation.

Surface-based loading

Distributed loads

Surface-based distributed loads are specified as described in Distributed loads, Section 27.4.3.


Load ID (*DSLOAD):  HP(S)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  Hydrostatic pressure on the element reference surface and linear in global Z. The pressure is positive in the direction opposite to the surface normal.


Load ID (*DSLOAD):  P

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  Pressure on the element reference surface. The pressure is positive in the direction opposite to the surface normal.


Load ID (*DSLOAD):  PNU

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  Nonuniform pressure on the element reference surface with magnitude supplied via user subroutine DLOAD in ABAQUS/Standard  and VDLOAD in ABAQUS/Explicit. The pressure is positive in the direction opposite to the surface normal.


Load ID (*DSLOAD):  SP(E)

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–4T2

Description:  Stagnation pressure applied to the element reference surface.


Load ID (*DSLOAD):  TRSHR

ABAQUS/CAE Load/Interaction:  Surface traction

Units:  FL–2

Description:  Shear traction on the element reference surface.


Load ID (*DSLOAD):  TRSHRNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

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


Load ID (*DSLOAD):  TRVEC

ABAQUS/CAE Load/Interaction:  Pressure

Units:  FL–2

Description:  General traction on the element reference surface.


Load ID (*DSLOAD):  TRVECNU(S)

ABAQUS/CAE Load/Interaction:  Not supported

Units:  FL–2

Description:  Nonuniform general traction on the element reference 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 surface pressure applied to the element reference surface. The pressure is proportional to the velocity normal to the element surface and opposing the motion.

Incident wave loading

Surface-based incident wave loads are available. 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.

Element output

If a local orientation (Orientations, Section 2.2.5) is not used with the element, the stress/strain components are in the default directions on the surface defined by the convention given in Conventions, Section 1.2.2. If a local orientation is used with the element, the stress/strain components are in the surface directions defined by the orientation. In large-displacement problems the local directions defined in the reference configuration are rotated into the current configuration by the average material rotation. See State storage, Section 1.5.4 of the ABAQUS Theory Manual, 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.

S12

Local 12 shear stress.


Section thickness

STH

Current thickness.


Node ordering on elements

Numbering of integration points for output