SOLID122


3D 20-Node Electrostatic Solid

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SOLID122 Element Description

SOLID122 is a 3D, 20-node, charge-based electric element. The element has one degree of freedom, voltage, at each node. It can tolerate irregular shapes without much loss of accuracy. SOLID122 elements have compatible voltage shapes and are well suited to model curved boundaries.

This element is applicable to 3D electrostatic and time-harmonic quasistatic electric field analyses. Various printout options are also available. See SOLID122 in the Mechanical APDL Theory Reference for more details about this element.

Figure 122.1: SOLID122 Geometry

SOLID122 Geometry

SOLID122 Input Data

The geometry, node locations, and the coordinate system for this element are shown in Figure 122.1: SOLID122 Geometry. The element is defined by 20 node points and the material properties. A prism-shaped element may be formed by defining duplicate K, L, and S; A and B; and O, P, and W node numbers. A pyramid-shaped element and a tetrahedral-shaped element may also be formed as shown in Figure 122.1: SOLID122 Geometry.

Orthotropic material directions correspond to the element coordinate directions. The element coordinate system orientation is as described in Coordinate Systems. Properties not input default as described in the Material Reference. Nodal loads are defined with the D (Lab= VOLT) and F (Lab= CHRG) commands.

Element loads are described in Element Loading. Surface charge densities may be input as surface loads at the element faces as shown by the circled numbers on Figure 122.1: SOLID122 Geometry. Charge density may be input as element body loads at the nodes. If the node I charge densities CHRGD(I) is input, and all others are unspecified, they default to CHRGD(I). If all corner node charge densities are specified, each midside node charge density defaults to the average charge density of its adjacent corner nodes.

The temperature (for material property evaluation only) body loads may be input based on their value at the element's nodes or as a single element value (BF, BFE). In general, unspecified nodal values of temperatures default to the uniform value specified with the BFUNIF or TUNIF commands.

A summary of the element input is given in "SOLID122 Input Summary". A general description of element input is given in Element Input.

SOLID122 Input Summary

Nodes

I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A, B

Degrees of Freedom

VOLT

Real Constants

None

Material Properties

MP command: PERX, PERY, PERZ, LSST, RSVX, RSVY, RSVZ

EMUNIT command: EPZRO

Surface Loads
Surface charge densities -- 
CHRGS face 1 (J-I-L-K), face 2 (I-J-N-M), face 3 (J-K-O-N),
face 4 (K-L-P-O), face 5 (L-I-M-P), face 6 (M-N-O-P)
Body Loads
Temperature --

T(I), T(J), ..., T(Z), T(A), T(B)

Volume charge densities -- 
CHRGD(I), CHRGD(J), ..., CHRGD(Z), CHRGD(A), CHRGD(B)
Special Features

Birth and death

KEYOPT(4)

Element coordinate system defined:

0 -- 

Element coordinate system is parallel to the global coordinate system

1 -- 

Element coordinate system is based on the element I-J side

KEYOPT(5)

Extra element output:

0 -- 

Basic element printout

1 -- 

Repeat basic solution for all integration points

2 -- 

Nodal fields printout

KEYOPT(6)

Electric charge reaction sign:

0 -- 

Positive

1 -- 

Negative

SOLID122 Output Data

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

The element output directions are parallel to the element coordinate system. A general description of solution output is given in Solution Output. See the Basic Analysis Guide for ways to view results.

The Element Output Definitions table uses the following notation:

A colon (:) in the Name column indicates that the item can be accessed by the Component Name method (ETABLE, ESOL). The O column indicates the availability of the items in the file jobname.out. The R column indicates the availability of the items in the results file.

In either the O or R columns, “Y” indicates that the item is always available, a letter or number refers to a table footnote that describes when the item is conditionally available, and “-” indicates that the item is not available.

Table 122.1: SOLID122 Element Output Definitions

NameDefinitionOR
ELElement NumberYY
NODESNodes - I, J, K, L, M, N, O, PYY
MATMaterial numberYY
VOLU:VolumeYY
XC, YC, ZCLocation where results are reportedY2
TEMPTemperatures T(I), T(J), ..., T(Z), T(A), T(B) YY
LOCOutput location (X, Y, Z)11
PERX, PERY, PERZElectric relative permittivity11
EF:X, Y, ZElectric field components11
EF:SUMVector magnitude of EF11
D:X, Y, ZElectric flux density components11
D:SUMVector magnitude of D11
JS:X, Y, Z, SUMCurrent density components (in the global Cartesian coordinate system) and vector magnitude [3]11
JT:X, Y, Z, SUMConduction current density components and magnitude [3]11
JHEAT:Joule heat generation rate per unit volume [4] [6] [5]11
SENE:Stored electric energy [5]11
FMAG:X, Y, ZElectrostatic force [7]-1
CHRGDApplied charge density-Y

  1. The solution value is output only if calculated (based upon input data). The element solution is at the centroid.

  2. Available only at centroid as a *GET item.

  3. For a time-harmonic analysis, JS represents the sum of element conduction and displacement current densities. JT represents the element conduction current density. The element displacement current density (JD) can be derived from JS and JT as JD=JS-JT. JS can be used as a source current density for a subsequent magnetostatic analysis with companion elements (LDREAD).

  4. For a time-harmonic analysis, calculated Joule heat generation rate per unit volume (JHEAT) includes conduction heating and dielectric heating due to the loss tangent.

  5. Calculated Joule heat generation rate per unit volume (JHEAT) may be made available for a subsequent thermal analysis with companion elements (LDREAD).

  6. For a time-harmonic analysis, Joule losses (JHEAT) and stored energy (SENE) represent time-average values. These values are stored in both the real and imaginary data sets.

  7. Use the EMFT macro to calculate the force distribution over the body. See the discussion on Electrostatic Forces in the Low-Frequency Electromagnetic Analysis Guide.

Table 122.2: SOLID122 Miscellaneous Element Output

DescriptionNames of Items OutputOR
Integration Point SolutionLOC, PERX, PERY, PERZ, EF, EFSUM, D, DSUM1-
Nodal SolutionEF, EFSUM, D, DSUM2-

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

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

Table 122.3: SOLID122 Item and Sequence Numbers lists output available through the ETABLE command using the Sequence Number method. See The General Postprocessor (POST1) in the Basic Analysis Guide and The Item and Sequence Number Table in this reference for more information. The following notation is used in Table 122.3: SOLID122 Item and Sequence Numbers:

Name

output quantity as defined in the Table 122.1: SOLID122 Element Output Definitions

Item

predetermined Item label for ETABLE command

E

sequence number for single-valued or constant element data

Table 122.3: SOLID122 Item and Sequence Numbers

Output Quantity NameETABLE and ESOL Command Input
ItemE
CHRGDSMISC1
EFXSMISC2
EFYSMISC3
EFZSMISC4
PERXNMISC1
PERYNMISC2
PERZNMISC3
JTXNMISC5
JTYNMISC6
JTZNMISC7
JTSUMNMISC8

SOLID122 Assumptions and Restrictions

  • The element must not have a zero volume or a zero length side. This occurs most frequently when the element is not numbered properly. Elements may be numbered either as shown in Figure 122.1: SOLID122 Geometry or in an opposite fashion.

  • An edge with a removed midside node implies that the potential varies linearly, rather than parabolically, along that edge. See Quadratic Elements (Midside Nodes) in the Modeling and Meshing Guide for more information on the use of midside nodes.

  • Degeneration to the form of pyramid should be used with caution. The element sizes, when degenerated, should be small in order to minimize the field gradients. Pyramid elements are best used as filler elements or in meshing transition zones.

  • This element is only compatible with elements having a VOLT DOF and an electric charge reaction solution. Electric charge reactions must all be positive or negative. KEYOPT(6) sets the electric charge reaction sign. See Element Compatibility in the Low-Frequency Electromagnetic Analysis Guide for more information.

  • The solenoidal current density is required for a solution, or for any postprocessing operations.

SOLID122 Product Restrictions

There are no product-specific restrictions for this element.