SOLID45


3D Structural Solid

Valid Products: Pro | Premium | Enterprise | PrepPost | Solver | AS add-on

SOLID45 Element Description

Although this archived element is available for use in your analysis, Ansys, Inc. recommends using a current-technology element such as SOLID185 (KEYOPT(2) = 3).

SOLID45 is used for the 3D modeling of solid structures. The element is defined by eight nodes having three degrees of freedom at each node: translations in the nodal x, y, and z directions.

The element has plasticity, creep, swelling, stress stiffening, large deflection, and large strain capabilities. A reduced integration option with hourglass control is available. A higher-order version of the SOLID45 element is SOLID186.

Figure 45.1: SOLID45 Geometry

SOLID45 Geometry

SOLID45 Input Data

The geometry, node locations, and the coordinate system for this element are shown in Figure 45.1: SOLID45 Geometry. The element is defined by eight nodes and the orthotropic material properties. Orthotropic material directions correspond to the element coordinate directions. The element coordinate system orientation is as described in Coordinate Systems.

Element loads are described in Element Loading. Pressures may be input as surface loads on the element faces as shown by the circled numbers on Figure 45.1: SOLID45 Geometry. 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 temperature pattern, unspecified temperatures default to TUNIF. Similar defaults occurs for fluence except that zero is used instead of TUNIF.

KEYOPT(1) is used to include or suppress the extra displacement shapes. KEYOPT(5) and KEYOPT(6) provide various element printout options (see Element Solution).

This element also supports uniform reduced (1 point) integration with hourglass control when KEYOPT(2) = 1. Using uniform reduced integration provides the following advantages when running a nonlinear analysis:

  • Less cpu time is required for element stiffness formation and stress/strain calculations to achieve a comparable accuracy to the FULL integration option.

  • The length of the element history saved record (.esav and .osav) is about 1/7th as much as when the full integration (2 X 2 X 2) is used for the same number of elements.

  • Nonlinear convergence characteristic of the option is generally far superior to the default full integration with extra displacement shape; that is, KEYOPT(1) = 0, KEYOPT(2) = 0.

  • The analysis will not suffer from volumetric locking which can be caused by plasticity or other incompressible material properties.

An analysis using uniform reduced integration can have the following disadvantages:

  • The analysis is not as accurate as the full integration method, which is apparent in the linear analysis for the same mesh.

  • The analysis cannot capture the bending behavior with a single layer of elements; for example, in the case of a fixed-end cantilever with a lateral point load, modeled by one layer of elements laterally. Instead, four elements are usually recommended.

When the uniform reduced integration option is used (KEYOPT(2) = 1 - this option is the same as SOLID185 with KEYOPT(2) = 1), you can check the accuracy of the solution by comparing the total energy (SENE label in ETABLE) and the artificial energy (AENE label in ETABLE) introduced by hourglass control. If the ratio of artificial energy to total energy is less than 5%, the solution is generally acceptable. If the ratio exceeds 5%, refine the mesh. The total energy and artificial energy can also be monitored by using the OUTPR,VENG command in the solution phase. For more details, see Energies in the Mechanical APDL Theory Reference.

You cannot set initial state conditions (INISTATE) using this element. You can set initial state conditions using current-technology elements (such as LINK180,SHELL181). To continue using initial state conditions in future versions of Mechanical APDL, consider using a current element technology. For more information, see Legacy vs. Current Element Technologies in the Element Reference. For more information about setting initial state values, see the INISTATE command documentation and Initial State Loading in the Basic Analysis Guide.

Pressure load stiffness effects are included in linear eigenvalue buckling automatically. If an unsymmetric matrix is needed for pressure load stiffness effects, use NROPT,UNSYM.

A summary of the element input is given in "SOLID45 Input Summary". A general description of element input is given in Element Input.

SOLID45 Input Summary

Nodes

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

Degrees of Freedom

UX, UY, UZ

Real Constants

HGSTF - Hourglass control factor needed only when KEYOPT(2) = 1.


Note:  The valid value for this real constant is any positive number; default = 1.0. We recommend that you use a value between 1 and 10.


Material Properties
EX, EY, EZ, PRXY, PRYZ, PRXZ (or NUXY, NUYZ, NUXZ), GXY, GYZ, GXZ, ALPX, ALPY, ALPZ (or CTEX, CTEY, CTEZ or THSX, THSY, THSZ), DENS, BETD, ALPD, DMPR
Surface Loads
Pressures -- 

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
Temperatures -- 

T(I), T(J), T(K), T(L), T(M), T(N), T(O), T(P)

Fluences -- 

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

Special Features
Plasticity (BISO, BKIN, DP, ANISO)
Creep (CREEP, RATE)
Swelling (SWELL)
Elasticity (MELAS)
Other material (USER)
Stress stiffening
Large deflection
Large strain
Birth and death
Adaptive descent

Items in parentheses refer to Lab data tables associated with the TB,Lab command.

KEYOPT(1)

Include or suppress extra displacement shapes:

0 -- 

Include extra displacement shapes

1 -- 

Suppress extra displacement shapes

KEYOPT(2)

Integration option:

0 -- 

Full integration with or without extra displacement shapes, depending on the setting of KEYOPT(1)

1 -- 

Uniform reduced integration with hourglass control; suppress extra displacement shapes (KEYOPT(1) is automatically set to 1).

KEYOPT(4)

Element coordinate system:

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 solution

1 -- 

Repeat basic solution for all integration points

2 -- 

Nodal Stress Solution

KEYOPT(6)

Extra surface output:

0 -- 

Basic element solution

1 -- 

Surface solution for face I-J-N-M also

2 -- 

Surface solution for face I-J-N-M and face K-L-P-O (Surface solution available for linear materials only)

3 -- 

Include nonlinear solution at each integration point

4 -- 

Surface solution for faces with nonzero pressure

SOLID45 Output Data

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

Several items are illustrated in Figure 45.2: SOLID45 Stress Output. The element stress directions are parallel to the element coordinate system. The surface stress outputs are in the surface coordinate systems and are available for any face (KEYOPT(6)). The coordinate systems for faces IJNM and KLPO are shown in Figure 45.1: SOLID45 Geometry. The other surface coordinate systems follow similar orientations as indicated by the pressure face node description. Surface stress printout is valid only if the conditions described in Element Solution are met. A general description of solution output is given in Solution Output. See the Basic Analysis Guide for ways to view results.

Figure 45.2: SOLID45 Stress Output

SOLID45 Stress Output

Stress directions shown are for KEYOPT(4) = 0


When KEYOPT(2) = 1 (the element is using uniform reduced integration), all the outputs for the element integration points are output in the same style as the full integration outputs. The number of points for full integration is used for consistency of output within the same element type.

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 45.1: SOLID45 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 reportedY3
PRESPressures P1 at nodes J, I, L, K; P2 at I, J, N, M; P3 at J, K, O, N; P4 at K, L, P, O; P5 at L, I, M, P; P6 at M, N, O, PYY
TEMPTemperatures T(I), T(J), T(K), T(L), T(M), T(N), T(O), T(P)YY
FLUENFluences FL(I), FL(J), FL(K), FL(L), FL(M), FL(N), FL(O), FL(P)YY
S:X, Y, Z, XY, YZ, XZStressesYY
S:1, 2, 3Principal stressesYY
S:INTStress intensityYY
S:EQVEquivalent stressYY
EPEL:X, Y, Z, XY, YZ, XZElastic strainsYY
EPEL:1, 2, 3Principal elastic strainsY-
EPEL:EQVEquivalent elastic strain [4]YY
EPTH:X, Y, Z, XY, YZ, XZAverage thermal strains-5
EPTH:EQVEquivalent thermal strain [4]-5
EPPL:X, Y, Z, XY, YZ, XZAverage plastic strains11
EPPL:EQVEquivalent plastic strain [4]11
EPCR:X, Y, Z, XY, YZ, XZAverage creep strains11
EPCR:EQVEquivalent creep strain [4]11
EPSW:Average swelling strain11
NL:EPEQAverage equivalent plastic strain11
NL:SRATRatio of trial stress to stress on yield surface11
NL:SEPLAverage equivalent stress from stress-strain curve11
NL:HPRESHydrostatic pressure 1
FACEFace label22
AREAFace area22
TEMPSurface average temperature22
EPELSurface elastic strains (X ,Y, XY)22
PRESSSurface pressure22
S(X, Y, XY)Surface stresses (X-axis parallel to line defined by first two nodes which define the face)22
S(1, 2, 3)Surface principal stresses22
SINTSurface stress intensity22
SEQVSurface equivalent stress22
LOCI:X, Y, ZIntegration point locations-Y

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

  2. Surface output (if KEYOPT(6) is 1, 2, or 4)

  3. Available only at centroid as a *GET item

  4. The equivalent strains use an effective Poisson's ratio: for elastic and thermal this value is set by the user (MP,PRXY); for plastic and creep this value is set at 0.5.

  5. Output only if element has a thermal load.

Table 45.2: SOLID45 Miscellaneous Element Output

DescriptionNames of Items OutputOR
Nonlinear Integration Pt. SolutionEPPL, EPEQ, SRAT, SEPL, HPRES, EPCR, EPSW1-
Integration Point Stress SolutionTEMP, S(X, Y, Z, XY, YZ, XZ), SINT, SEQV, EPEL2-
Nodal Stress Solution TEMP, S(X, Y, Z, XY, YZ, XZ), SINT, SEQV, EPEL3-

  1. Output at each of eight integration points, 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

Table 45.3: SOLID45 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 of this manual for more information. The following notation is used in Table 45.3: SOLID45 Item and Sequence Numbers:

Name

output quantity as defined in the Table 45.1: SOLID45 Element Output Definitions

Item

predetermined Item label for ETABLE command

I,J,...,P 

sequence number for data at nodes I,J,...,P

Table 45.3: SOLID45 Item and Sequence Numbers

Output Quantity NameETABLE and ESOL Command Input
ItemIJKLMNOP
P1SMISC2143----
P2SMISC56--87--
P3SMISC-910--1211-
P4SMISC--1314--1615
P5SMISC18--1719--20
P6SMISC----21222324
S:1NMISC16111621263136
S:2NMISC27121722273237
S:3NMISC38131823283338
S:INTNMISC49141924293439
S:EQVNMISC510152025303540
FLUENNMISC4142434445464748

See Surface Solution for the item and sequence numbers for surface output for the ETABLE command.

SOLID45 Assumptions and Restrictions

  • Zero volume elements are not allowed.

  • Elements may be numbered either as shown in Figure 45.1: SOLID45 Geometry or may have the planes IJKL and MNOP interchanged.

  • The element may not be twisted such that the element has two separate volumes. This occurs most frequently when the elements are not numbered properly.

  • All elements must have eight nodes.

    • A prism-shaped element may be formed by defining duplicate K and L and duplicate O and P node numbers (see Degenerated Shape Elements).

    • A tetrahedron shape is also available. The extra shapes are automatically deleted for tetrahedron elements.

SOLID45 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 Professional  —  

  • Fluence body loads are not applicable.

  • The only special feature allowed is stress stiffening.

  • KEYOPT(6) = 3 is not applicable.