4.20 PIPE20 Plastic Straight Pipe

4.20 PIPE20 Plastic Straight Pipe (UP19980821 ) PIPE20 is a uniaxial element with tension-compression, bending, and torsion capabilities. The element has six degrees of freedom at each node: translations in the nodal, x, y, and z directions, and rotations about the nodal x, y, and z axes.

The element has plastic, creep and swelling capabilities. If these effects are not needed, the elastic pipe element, PIPE16, may be used. An option is available for printing the forces and moments acting on the element in the element coordinate system. See Section 14.20 in the ANSYS Theory Reference for more details about this element. A plastic curved pipe element (PIPE60) is described in Section 4.60.

Figure 4.20-1 PIPE20 Plastic Straight Pipe



4.20.1 Input Data

The geometry, node locations, and the coordinate system for this element are shown in Figure 4.20-1. The element input data include two nodes, the pipe outer diameter and wall thickness, optional stress factors, and the isotropic material properties. Properties not input default as described in Section 2.4.

The element X-axis is oriented from node I toward node J. The element y-axis is automatically calculated to be parallel to the global X-Y plane. Several orientations are shown in Figure 4.20-1. For the case where the element is parallel to the global Z-axis (or within a 0.01 percent slope of it), the element Y-axis is oriented parallel to the global Y-axis (as shown). Input and output locations around the pipe circumference identified as being at 0° are located along the element Y-axis, and similarly 90° is along the element Z-axis.

Element loads are described in Section 2.7. Pressures may be input as surface loads on the element faces as shown by the circled numbers on Figure 4.20-1. Internal pressure (PINT) and external pressure (POUT) are input as positive values. The transverse pressures (PX, PY, and PZ) may represent wind or drag loads (per unit length of the pipe) and are defined in the global Cartesian directions. Positive transverse pressures act in the positive coordinate directions. See Section 14.16.7 of the ANSYS Theory Reference for details.

Temperatures and fluences may be input as element body loads at the nodes. The first temperature (TAVG at node I) defaults to TUNIF. If all temperatures after the first are unspecified, they default to the first. If all temperatures at node I are input, and all temperatures at node J are unspecified, the node J temperatures default to the corresponding node I temperatures. For any other pattern of input temperatures, unspecified temperatures default to TUNIF. Similar defaults occurs for fluence except that zero is used instead of TUNIF.

A summary of the element input is given in Table 4.20-1. Section 2.1 gives a general description of element input.

Table 4.20-1 PIPE20 Input Summary

Element Name

PIPE20

Nodes

I, J (node I defines end 1)

Degrees of Freedom

UX, UY, UZ, ROTX, ROTY, ROTZ

Real Constants

OD, TKWALL, SIFI, SIFJ (SIFI, SIFJ used only if KEYOPT (2) = 4)

Material Properties

EX, ALPX, PRXY or NUXY, DENS, GXY, DAMP

Surface Loads

Pressures: 1-PINT, 2-PX, 3-PY, 4-PZ, 5-POUT

Body Loads

Temperatures:
TAVG ( I ), T90 ( I ), T180 ( I ), TAVG ( J ), T90 ( J ), T180 ( J )
Fluences:
FLAVG ( I ), FL90 ( I ), FL180 ( I ), FLAVG ( J ), FL90 ( J ), FL180 ( J )

Special Features

Plasticity, Creep, Swelling, Stress stiffening, Large deflection, Large strain, Birth and death.

KEYOPT(2)

0 - No stress intensification factors
4 - Include stress intensification factors at nodes I and J as input with real constants

KEYOPT(6)

0 - No printout of member forces or moments
1 - Print member forces and moments in the element coordinate system


4.20.2 Output Data

The solution output associated with the element is in two forms:

The meaning of THETA is illustrated in Figure 4.20-2. The nonlinear solution is given at eight circumferential locations at both ends of the pipe. The linear solution, similar to that for PIPE16, is also printed as long as the element remains elastic. The initial elastic bending stresses (SBEND) are multiplied by the input stress intensification factors (SIFI and SIFJ) for KEYOPT(2) = 4, provided they are greater than 1.0. No multiplication is done for any other stresses, or for plasticity. Section 2.2 gives a general description of solution output. See the ANSYS Basic Analysis Procedures Guide for ways to view results.

Figure 4.20-2 PIPE20 Stress Output



The following notation is used in Table 4.20-2:

A colon (:) in the Name column indicates the item can be accessed by the Component Name method [ETABLE, ESOL] (see Section 2.2.2). The O and R columns indicate the availability of the items in the file Jobname.OUT (O) or in the results file (R), a Y indicates that the item is always available, a number refers to a table footnote which describes when the item is conditionally available, and a - indicates that the item is not available.

Table 4.20-2 PIPE20 Element Output Definitions

Name

Definition

O

R

EL

Element number

Y Y
NODES

Nodes - I, J

Y Y
MAT

Material number

Y Y
VOLU:

Volume

- Y
CENT: X, Y, Z

Center location XC, YC, ZC

- Y
TEMP

Temperatures TAVG(I), T90(I), T180(I), TAVG(J), T90(J), T180(J)

Y Y
FLUEN

Fluences FLAVG(I), FL90(I), FL180(I), FLAVG(J), FL90(J), FL180(J)

Y Y
PRES

Pressures PINT, PX, PY, PZ, POUT

Y Y
MFOR(X, Y, Z)

Member forces for nodes I and J (in the element coordinate system)

1 1
MMOM(X, Y, Z)

Member moments for nodes I and J (in the element coordinate system)

1 1
SDIR

Direct (axial) stress

- 2
SBEND

Maximum bending stress at outer surface

- 2
ST

Shear stress at outer surface due to torsion

- 2
SSF

Shear stress due to shear force

- 2
S1MX, S3MN,

Maximum principal stress, minimum principal stress, maximum

2 2
SINTMX, SEQVMX

Maximum stress intensity, maximum equivalent stress all at the outer surface (based on SDIR, SBEND, ST, SSF but also accounting for the values of S1, S3, SINT, SEQV given below)

2 2
S(AXL, RAD, H, XH)

Axial, radial, hoop, and shear stresses

3 3
S(1, 3, INT, EQV)

Maximum principal stress, minimum principal stress, stress intensity, equivalent stress

3 3
EPEL(AXL, RAD, H, XH)

Axial, radial, hoop, and shear strains

3 3
EPTH(AXL, RAD, H)

Axial, radial, and hoop thermal strain

3 3
EPPL(AXL, RAD, H, XH)

Axial, radial, hoop, and shear plastic strains

3 3
EPCR(AXL, RAD, H, XH)

Axial, radial, hoop, and shear creep strains

3 3
SRAT

Ratio of trial stress to stress on yield surface

3 3
EPEQ

Equivalent plastic strain

3 3
HPRES

Hydrostatic pressure

- 3
SEPL

Equivalent stress from stress-strain curve

3 3
EPSWAXL

Axial swelling strain

3 3
1. If KEYOPT(6)=1

2. Initial elastic solution only before yield

3. The item repeats for THETA=0,45,90,135,180,225,270,315° at node I, then at node J, all at the mid-thickness of the wall

The following tables list output available through the ETABLE command using the Sequence Number method. See Chapter 5 of the ANSYS Basic Analysis Procedures Guide and Section 2.2.2.2 of this manual for more information. The following notation is used in Tables 4.20-3 through 4.20-3b:

Table 4.20-3 PIPE20 Item and Sequence Numbers for the ETABLE and ESOL Commands

Node I

Name

Item


E

Circumferential Location

0°

45°

90°

135°

180°

225°

270°

315°

SAXL

LS

- 1 5 9 13 17 21 25 29
SRAD

LS

- 2 6 10 14 18 22 26 30
SH

LS

- 3 7 11 15 19 23 27 31
SXH

LS

- 4 8 12 16 20 24 28 32
EPELAXL

LEPEL

- 1 5 9 13 17 21 25 29
EPELRAD

LEPEL

- 2 6 10 14 18 22 26 30
EPELH

LEPEL

- 3 7 11 15 19 23 27 31
EPELXH

LEPEL

- 4 8 12 16 20 24 28 32
EPTHAXL

LEPTH

- 1 6 11 16 21 26 31 36
EPTHRAD

LEPTH

- 2 7 12 17 22 27 32 37
EPTHH

LEPTH

- 3 8 13 18 23 28 33 38
EPSWAXL

LEPTH

- 5 10 15 20 25 30 35 40
EPPLAXL

LEPPL

- 1 5 9 13 17 21 25 29
EPPLRAD

LEPPL

- 2 6 10 14 18 22 26 30
EPPLH

LEPPL

- 3 7 11 15 19 23 27 31
EPPLXH

LEPPL

- 4 8 12 16 20 24 28 32
EPCRAXL

LEPCR

- 1 5 9 13 17 21 25 29
EPCRRAD

LEPCR

- 2 6 10 14 18 22 26 30
EPCRH

LEPCR

- 3 7 11 15 19 23 27 31
EPCRXH

LEPCR

- 4 8 12 16 20 24 28 32
SEPL

NLIN

- 1 5 9 13 17 21 25 29
SRAT

NLIN

- 2 6 10 14 18 22 26 30
HPRES

NLIN

- 3 7 11 15 19 23 27 31
EPEQ

NLIN

- 4 8 12 16 20 24 28 32
S1

NMISC

- 1 6 11 16 21 26 31 36
S3

NMISC

- 3 8 13 18 23 28 33 38
SINT

NMISC

- 4 9 14 19 24 29 34 39
SEQV

NMISC

- 5 10 15 20 25 30 35 40
SBEND

NMISC

81 - - - - - - - -
SSF

NMISC

82 - - - - - - - -
FOUT

NMISC

- 88 - 85 - 86 - 87 -
FIN

NMISC

- 92 - 89 - 90 - 91 -
TOUT

LBFE

- 4 - 1 - 2 - 3 -
TIN

LBFE

- 8 - 5 - 6 - 7 -
MFORX

SMISC

1 - - - - - - - -
MFORY

SMISC

2 - - - - - - - -
MFORZ

SMISC

3 - - - - - - - -
MMOMX

SMISC

4 - - - - - - - -
MMOMY

SMISC

5 - - - - - - - -
MMOMZ

SMISC

6 - - - - - - - -
SDIR

SMISC

13 - - - - - - - -
ST

SMISC

14 - - - - - - - -
Table 4.20-3a PIPE20 Item and Sequence Numbers for the ETABLE and ESOL Commands

Node J

Name

Item


E

Circumferential Location

0°

45°

90°

135°

180°

225°

270°

315°

SAXL

LS

- 33 37 41 45 49 53 57 61
SRAD

LS

- 34 38 42 46 50 54 58 62
SH

LS

- 35 39 43 47 51 55 59 63
SXH

LS

- 36 40 44 48 52 56 60 64
EPELAXL

LEPEL

- 33 37 41 45 49 53 57 61
EPELRAD

LEPEL

- 34 38 42 46 50 54 58 62
EPELH

LEPEL

- 35 39 43 47 51 55 59 63
EPELXH

LEPEL

- 36 40 44 48 52 56 60 64
EPTHAXL

LEPTH

- 41 46 51 56 61 66 71 76
EPTHRAD

LEPTH

- 42 47 52 57 62 67 72 77
EPTHH

LEPTH

- 43 48 53 58 63 68 73 78
EPSWAXL

LEPTH

- 45 50 55 60 65 70 75 80
EPPLAXL

LEPPL

- 33 37 41 45 49 53 57 61
EPPLRAD

LEPPL

- 34 38 42 46 50 54 58 62
EPPLH

LEPPL

- 35 39 43 47 51 55 59 63
EPPLXH

LEPPL

- 36 40 44 48 52 56 60 64
EPCRAXL

LEPCR

- 33 37 41 45 49 53 57 61
EPCRRAD

LEPCR

- 34 38 42 46 50 54 58 62
EPCRH

LEPCR

- 35 39 43 47 51 55 59 63
EPCRXH

LEPCR

- 36 40 44 48 52 56 60 64
SEPL

NLIN

- 33 37 41 45 49 53 57 61
SRAT

NLIN

- 34 38 42 46 50 54 58 62
HPRES

NLIN

- 35 39 43 47 51 55 59 63
EPEQ

NLIN

- 36 40 44 48 52 56 60 64
S1

NMISC

- 41 46 51 56 61 66 71 76
S3

NMISC

- 43 48 53 58 63 68 73 78
SINT

NMISC

- 44 49 54 59 64 69 74 79
SEQV

NMISC

- 45 50 55 60 65 70 75 80
SBEND

NMISC

83 - - - - - - - -
SSF

NMISC

84 - - - - - - - -
FOUT

NMISC

- 96 - 93 - 94 - 95 -
FIN

NMISC

- 100 - 97 - 98 - 99 -
TOUT

LBFE

- 12 - 9 - 10 - 11 -
TIN

LBFE

- 16 - 13 - 14 - 15 -
MFORX

SMISC

7 - - - - - - - -
MFORY

SMISC

8 - - - - - - - -
MFORZ

SMISC

9 - - - - - - - -
MMOMX

SMISC

10 - - - - - - - -
MMOMY

SMISC

11 - - - - - - - -
MMOMZ

SMISC

12 - - - - - - - -
SDIR

SMISC

15 - - - - - - - -
ST

SMISC

16 - - - - - - - -
Table 4.20-3b PIPE20 Item and Sequence Numbers for the ETABLE and ESOL Commands

Name

Item

E
PINT

SMISC

17
PX

SMISC

18
PY

SMISC

19
PZ

SMISC

20
POUT

SMISC

21

4.20.3 Assumptions and Restrictions

The pipe element is assumed to have "closed ends" so that the axial pressure effect is included. The equations used in the development of this element are the standard equations for small deflection of beams, including shear deflections. All calculations are based on thin-wall theory. The average wall temperature at =0° is computed as 2 * TAVG - T(180) and the average wall temperature at =-90° is computed as 2 * TAVG - T(90). The element temperatures are assumed to be linear along the length. Stress intensification factors input with values less than 1.0 are set to 1.0.

4.20.4 Product Restrictions

There are no product-specific restrictions for this element.