4.82 PLANE82 2-D 8-Node Structural Solid

4.82 PLANE82 2-D 8-Node Structural Solid (UP19980821 ) PLANE82 is a higher order version of the two-dimensional, four-node element (PLANE42). It provides more accurate results for mixed (quadrilateral-triangular) automatic meshes and can tolerate irregular shapes without as much loss of accuracy. The 8-node elements have compatible displacement shapes and are well suited to model curved boundaries.

The 8-node element is defined by eight nodes having two degrees of freedom at each node: translations in the nodal x and y directions. The element may be used as a plane element or as an axisymmetric element. The element has plasticity, creep, swelling, stress stiffening, large deflection, and large strain capabilities. Various printout options are also available. See Section 14.82 of the ANSYS Theory Reference for more details about this element. An axisymmetric element which accepts nonaxisymmetric loading (PLANE83) is described in Section 4.83.

Figure 4.82-1 PLANE82 2-D 8-Node Structural Solid



4.82.1 Input Data

The geometry, node locations, and the coordinate system for this element are shown in Figure 4.82-1.

A triangular-shaped element may be formed by defining the same node number for nodes K, L and O. A similar, but 6-node, triangular element (PLANE2) is described in Section 4.2. Besides the nodes, the element input data includes a thickness (TK) (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 4.82-1. 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). If all corner node temperatures are specified, each midside node temperature defaults to the average temperature of its adjacent corner nodes. For any other input temperature 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(5) and KEYOPT(6) parameters provide various element printout options (see Section 2.2.2).

A summary of the element input is given in Table 4.82-1. A general description of element input is given in Section 2.1.

Table 4.82-1 PLANE82 Input Summary

Element Name

PLANE82

Nodes

I, J, K, L, M, N, O, P

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 (I-K), face 4 (I-L)

Body Loads

Temperatures:
T (I), T (J), T (K), T (L), T (M), T (N), T (O), T (P)
Fluences:
FL (I), F L(J), FL (K), FL (L), FL (M), FL (N), FL (O), FL (P)

Special Features

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

KEYOPT(3)

0 - Plane stress
1 - Axisymmetric
2 - Plane strain (Z strain = 0.0)
3 - Plane stress with thickness (TK) real constant 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 valid for linear materials only)
3 - Nonlinear solution at each integration point also
4 - Surface solution for faces with nonzero pressure


4.82.2 Output Data

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

Several items are illustrated in Figure 4.82-2.

The element stress directions are parallel to the element coordinate system. Surface stresses are defined parallel and perpendicular to the IJ face (and the KL face) 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 4.82-2 2-D PLANE82 Stress Output



The following notation is used in Table 4.82-2:

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 4.82-2 PLANE82 Element Output Definitions

Name

Definition

O

R

EL

Element number

Y Y
NODES

Corner nodes - I, J, K, L

Y Y
MAT

Material number

Y Y
THICK

Average thickness

Y Y
VOLU:

Volume

Y Y
CENT: XC,YC

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), T(M), T(N), T(O), T(P)

Y Y
FLUEN

Fluences FL(I), FL(J), FL(K), FL(L), FL(M), FL(N), FL(O), FL(P)

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
FACE

Face label

1 Y
EPEL(PAR,PER,Z)

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

1 Y
TEMP

Surface average temperature

1 Y
S(PAR,PER,Z)

Surface stresses (parallel, perpendicular, Z or hoop)

1 Y
SINT

Surface stress intensity

1 Y
SEQV

Surface equivalent stress

1 Y
EPPL: X, Y, XY, Z

Plastic strains

2 2
EPCR: X, Y, XY, Z

Creep strains

2 2
EPSW:

Swelling strain

2 2
NL:EPEQ

Equivalent plastic strain

2 2
NL:SRAT

Ratio of trial stress to stress on yield surface

2 2
NL:SEPL

Equivalent stress on stress-strain curve

2 2
NL:HPRES

Hydrostatic pressure

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

2. Nonlinear solution (if the element has a nonlinear material)

Table 4.82-2a PLANE82 Miscellaneous Element Output

Description

Names of Items Output

O

R

Nonlinear Integration Pt. Solution

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

1 -
Integration Point Stress 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 vertex node, if KEYOPT(5)=2

Note-For axisymmetric solutions, the X, Y, XY, and Z stress and strain outputs correspond to the radial, axial, in-plane shear, and hoop stresses and strains.

Table 4.82-3 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 4.82-3:

Table 4.82-3 PLANE82 Item and Sequence Numbers for the ETABLE and ESOL Commands

Name

Item

E

I

J

K

L

M

N

O

P

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 25 26 27 28
THICK

NMISC

29 - - - - - - - -
See Section 2.2.2.5 of this manual for the item and sequence numbers for surface output for the ETABLE command.

4.82.3 Assumptions and Restrictions

The area of the element must be positive. The element must lie in a global X-Y plane as shown in Figure 4.82-1 and the Y-axis must be the axis of symmetry for axisymmetric analyses. An axisymmetric structure should be modeled in the +X quadrants. A face with a removed midside node implies that the displacement varies linearly, rather than parabolically, along that face. See Section 2.4.2 of the ANSYS Modeling and Meshing Guide for more information about the use of midside nodes.

4.82.4 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