4.42 PLANE42 2-D Structural Solid

4.42 PLANE42 2-D Structural Solid (UP19980821 ) PLANE42 is used for 2-D modeling of solid structures. The element can be used either as a plane element (plane stress or plane strain) or as an axisymmetric element. The element is defined by four nodes having two degrees of freedom at each node: translations in the nodal x and y directions. The element has plasticity, creep, swelling, stress stiffening, large deflection, and large strain capabilities.

An option is available to suppress the extra displacement shapes. See Section 14.42 of the ANSYS Theory Reference for more details about this element. A multi-node version of this element (PLANE82) is described in Section 4.82. An axisymmetric version that accepts nonaxisymmetric loading (PLANE25) is described in Section 4.25.

Figure 4.42-1 PLANE42 2-D Structural Solid



4.42.1 Input Data

The geometry, node locations, and the coordinate system for this element are shown in Figure 4.42-1. The element input data includes four nodes, a thickness (for the plane stress option only) and the orthotropic material properties. Orthotropic material directions correspond to the element coordinate directions. The element coordinate system orientation is as described in Section 2.3. Properties not input default as described in Section 2.4.

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 4.42-1. Positive pressures act into the element. Temperatures and fluences may be input as element body loads at the nodes. The node I temperature T(I) defaults to TUNIF. If all other temperatures are unspecified, they default to T(I). For any other input pattern, unspecified temperatures default to TUNIF. Similar defaults occurs for fluence except that zero is used instead of TUNIF.

The nodal forces, if any, should be input per unit of depth for a plane analysis (except for KEYOPT(3)=3) and on a full 360° basis for an axisymmetric analysis. KEYOPT(2) is used to include or suppress the extra displacement shapes.

KEYOPT(5) and KEYOPT(6) provide various element printout options (see Section 2.2.2).

A summary of the element input is given in Table 4.42-1. A general description of element input is given in Section 2.1.

Table 4.42-1 PLANE42 Input Summary

Element Name

PLANE42

Nodes

I, J, K, L

Degrees of Freedom

UX, UY

Real Constants

None, if KEYOPT (3) = 0, 1, 2
Thickness, if KEYOPT (3) = 3

Material Properties

EX, EY, EZ, (PRXY, PRYZ, PRXZ or NUXY, NUYZ, NUXZ), ALPX, ALPY,ALPZ, DENS, GXY, DAMP

Surface Loads

Pressures:
face 1 (J-I), face 2 (K-J), face 3 (L-K), face 4 (I-L)

Body Loads

Temperatures: T ( I ), T ( J ), T ( K ), T ( L )
Fluences: FL ( I ), F L( J ), FL ( K ), FL ( L )

Special Features

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

KEYOPT(1)

0 - Element coordinate system is parallel to the global coordinate system
1 - Element coordinate system is based on the element I-J side

KEYOPT(2)

0 - Include extra displacement shapes
1 - Suppress extra displacement shapes

KEYOPT(3)

0 - Plane stress
1 - Axisymmetric
2 - Plane strain (Z strain = 0.0)
3 - Plane stress with thickness input

KEYOPT(5)

0 - Basic element solution
1 - Repeat basic solution for all integration points
2 - Nodal stress solution

KEYOPT(6)

0 - Basic element solution
1 - Surface solution for face I-J also.
2 - Surface solution for both faces I-J and K-L also. (Surface solution available for linear materials only)
3 - Nonlinear solution at each integration point also.
4 - Surface solution for faces with nonzero pressure


4.42.2 Output Data

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

Several items are illustrated in Figure 4.42-2.

The element stress directions are parallel to the element coordinate system. Surface stresses are available on any face. Surface stresses on face IJ, for example, are defined parallel and perpendicular to the IJ line and along the Z axis for a plane analysis or in the hoop direction for an axisymmetric analysis. A general description of solution output is given in Section 2.2. See the ANSYS Basic Analysis Procedures Guide for ways to view results.

Figure 4.42-2 PLANE42 Stress Output



The following notation is used in Table 4.42-2:

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 4.42-2 PLANE42 Element Output Definitions

Name

Definition

O

R

EL

Element number

Y Y
NODES

Nodes - I, J, K, L

Y Y
MAT

Material number

Y Y
THICK

Average thickness

Y Y
VOLU:

Volume

Y Y
CENT: X, Y

Global location XC, YC

Y Y
PRES

Pressures P1 at nodes J,I; P2 at K,J; P3 at L,K; P4 at I,L

Y Y
TEMP

Temperatures T(I), T(J), T(K), T(L)

Y Y
FLUEN

Fluences FL(I), FL(J), FL(K), FL(L)

Y Y
S:INT

Stress intensity

Y Y
S:EQV

Equivalent stress

Y Y
EPEL: X, Y, Z, XY

Elastic strains

Y Y
EPEL: 1, 2, 3

Principal elastic strains

Y Y
S: X, Y, Z, XY

Stresses (SZ=0.0 for plane stress elements)

Y Y
S: 1, 2, 3

Principal stresses

Y Y
EPPL: X, Y, Z, XY

Plastic strains

1 1
NL:EPEQ

Equivalent plastic strain

1 1
NL:SRAT

Ratio of trial stress to stress on yield surface

1 1
NL:SEPL

Equivalent stress on stress-strain curve

1 1
NL:HPRES

Hydrostatic pressure

- 1
EPCR: X, Y, Z, XY

Creep strains

1 1
EPSW:

Swelling strain

1

1

FACE

Face label

2 Y
EPEL(PAR,PER, Z)

Surface elastic strains (parallel, perpendicular, Z or hoop)

2 Y
TEMP

Surface average temperature

2 Y
S(PAR,PER,Z)

Surface stresses (parallel, perpendicular, Z or hoop)

2 Y
SINT

Surface stress intensity

2 Y
SEQV

Surface equivalent stress

2 Y
1. Nonlinear solution, output only if the element has a nonlinear material.

2. Face printout (if KEYOPT(6) is 1,2, or 4)

Table 4.42-2a PLANE42 Miscellaneous Element Output

Description

Names of Items Output

O

R

Nonlinear Integration Pt. Solution

EPPL, EPEQ, SRAT, SEPL, HPRES, EPCR, EPSW

1 -
Integration Point Solution

TEMP, SINT, SEQV, EPEL, S

2 -
Nodal Stress Solution

TEMP, S, SINT, SEQV

3 -
1. Output at each integration point, if the element has a nonlinear material and KEYOPT(6)=3

2. Output at each integration point, if KEYOPT(5)=1

3. Output at each node, if KEYOPT(5)=2

Note-For axisymmetric solutions with KEYOPT(1)=0, the X,Y,Z, and XY stress and strain outputs correspond to the radial, axial, hoop, and in-plane shear stresses and strains, respectively.

Table 4.42-3 lists 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 Table 4.42-3:

Table 4.42-3 PLANE42 Item and Sequence Numbers for the ETABLE and ESOL Commands

Name

Item

E

I

J

K

L

P1

SMISC

- 2 1 - -
P2

SMISC

- - 4 3 -
P3

SMISC

- - - 6 5
P4

SMISC

- 7 - - 8
S:1

NMISC

- 1 6 11 16
S:2

NMISC

- 2 7 12 17
S:3

NMISC

- 3 8 13 18
S:INT

NMISC

- 4 9 14 19
S:EQV

NMISC

- 5 10 15 20
FLUEN

NMISC

- 21 22 23 24
THICK

NMISC

25 - - - -
See Section 2.2.2.5 of this manual for the item and sequence numbers for surface output for the ETABLE command.

4.42.3 Assumptions and Restrictions

The area of the element must be non-zero. The element must lie in a global X-Y plane as shown in Figure 4.42-1 and the Y-axis must be the axis of symmetry for axisymmetric analyses. An axisymmetric structure should be modeled in the +X quadrants.

A triangular element may be formed by defining duplicate K and L node numbers (see Section 2.8). The extra shapes are automatically deleted for triangular elements so that a constant strain element results. Surface stress printout is valid only if the conditions described in Section 2.2.2 are met.

4.42.4 Product Restrictions

When used in the product(s) listed below, the stated product-specific restrictions apply to this element in addition to the general assumptions and restrictions given in the previous section.

ANSYS/LinearPlus