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
Element Property Definition
Element-Based Loading
Distributed Loads
Distributed loads are specified as described in
Distributed Loads.
*dload
-
Load ID (*DLOAD):
BX
-
FL−3
-
Body force in global X-direction.
-
Load ID (*DLOAD):
BY
-
FL−3
-
Body force in global Y-direction.
-
Load ID (*DLOAD):
BZ
-
FL−3
-
Body force in global Z-direction.
-
Load ID (*DLOAD):
BXNU
-
FL−3
-
Nonuniform body force in global X-direction with
magnitude supplied via user subroutine
DLOAD.
-
Load ID (*DLOAD):
BYNU
-
FL−3
-
Nonuniform body force in global Y-direction with
magnitude supplied via user subroutine
DLOAD.
-
Load ID (*DLOAD):
BZNU
-
FL−3
-
Nonuniform body force in global Z-direction with
magnitude supplied via user subroutine
DLOAD.
-
Load ID (*DLOAD):
CENT
-
FL−4(ML−3T−2)
-
Centrifugal load (magnitude is input as ,
where
is the mass density per unit volume,
is the angular velocity).
-
Load ID (*DLOAD):
CENTRIF
-
FL−4(ML−3T−1)
-
Centrifugal load (magnitude is input as ,
where
is the angular velocity).
-
Load ID (*DLOAD):
CORIO
-
FL−4T
(ML−3T−1)
-
Coriolis force (magnitude is input as ,
where
is the mass density per unit volume,
is the angular velocity).
-
Load ID (*DLOAD):
GRAV
-
LT−2
-
Gravity loading in a specified direction (magnitude is input as
acceleration).
-
Load ID (*DLOAD):
HPn
-
FL−2
-
Hydrostatic pressure on face n, linear in global
Z.
-
Load ID (*DLOAD):
Pn
-
FL−2
-
Pressure on face n.
-
Load ID (*DLOAD):
ROTA
-
T−2
-
Rotary acceleration load (magnitude is input as ,
where
is the rotary acceleration).
-
Load ID (*DLOAD):
ROTDYNF
(S)
-
T−1
-
Rotordynamic load (magnitude is input as ,
where
is the angular velocity).
-
Load ID (*DLOAD):
TRSHRn
-
FL−2
-
Shear traction on face n.
-
Load ID (*DLOAD):
TRSHRnNU
(S)
-
FL−2
-
Nonuniform shear traction on face n with
magnitude and direction supplied via user subroutine
UTRACLOAD.
-
Load ID (*DLOAD):
TRVECn
-
FL−2
-
General traction on face n.
-
Load ID (*DLOAD):
TRVECnNU
(S)
-
FL−2
-
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
-
Load ID (*FOUNDATION):
Fn
-
FL−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
-
Load ID (*DSLOAD):
HP
-
FL−2
-
Hydrostatic pressure on the element surface, linear in global
Z.
-
Load ID (*DSLOAD):
Pn
-
FL−2
-
Pressure on the element surface.
-
Load ID (*DSLOAD):
PnNU
-
FL−2
-
Nonuniform pressure on the element surface with magnitude supplied via user
subroutine
DLOAD.
-
Load ID (*DSLOAD):
TRSHR
-
FL−2
-
Shear traction on the element surface.
-
Load ID (*DSLOAD):
TRSHRNU
(S)
-
FL−2
-
Nonuniform shear traction on the element surface with magnitude and
direction supplied via user subroutine
UTRACLOAD.
-
Load ID (*DSLOAD):
TRVEC
-
FL−2
-
General traction on the element surface.
-
Load ID (*DSLOAD):
TRVECNU
(S)
-
FL−2
-
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.
|