REINF263


2D Smeared Reinforcing

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

REINF263 Element Description

For a structural reinforcing analysis, use REINF263 with standard 2D solid and shell base elements to provide extra reinforcing to those elements. For a thermal reinforcing analysis, the supported base elements are thermal planes PLANE292 and PLANE293.

The element uses a smeared approach and is suitable for modeling evenly spaced reinforcing fibers that appear in layered form. Each reinforcing layer contains a cluster of fibers with unique orientation, material, and cross-section area, and is simplified as a homogeneous membrane having unidirectional stiffness. You can specify multiple layers of reinforcing in one REINF263 element. The nodal locations, degrees of freedom, and connectivity of the REINF263 element are identical to those of the base element.

REINF263 has plasticity, stress-stiffening, creep, large-deflection, and large-strain capabilities.

For more information, see Reinforcing and Direct Element Embedding in the Structural Analysis Guide.

Figure 263.1: REINF263 Geometry

REINF263 Geometry

Figure 263.2: REINF263 Coordinate System

REINF263 Coordinate System
REINF263 Coordinate System
Uniaxial Stress StatePlane Stress State
X0 = Layer x axis if layer system LSYS and layer-orientation angle θ are not specified (default).
Xc = Layer x axis if a local coordinate system for the layer is specified (SECDATA,,,KCN)
Xf = Layer x axis if layer orientation angle θ is specified (SECDATA,,,,THETA)

REINF263 Input Data

The geometry and nodal locations for this element are shown in Figure 263.1: REINF263 Geometry. The REINF263 element and its base element share the same nodes and element connectivity.

You can easily create REINF263 elements from the selected base elements via the EREINF command. Section commands (SECTYPE and SECDATA) define the material ID, cross-section area, spacing, location, and orientation of reinforcing fibers. See Reinforcing and Direct Element Embedding in the Structural Analysis Guide for more information about creating REINF263 elements.

Each reinforcing layer can contain a cluster of fibers with unique orientation, material, and cross-section area, simplified as a homogeneous membrane having unidirectional stiffness.

The equivalent thickness h of the smeared reinforcing layer is given by:

h = A / S

where A is the cross-section area of a single fiber, and S is the distance between two adjacent fibers.

REINF263 can also be used to model homogeneous reinforcing membranes. The spacing input S is ignored and always set to 1.0 for reinforcing membranes. Therefore, the thickness h is equal to the cross-section area input A.

For a structural analysis, REINF263 supports a plane-stress or uniaxial-stress state (SECCONTROL,,,MEMOPT). For a thermal analysis, specify thermal conductivity KXX. Select the plane-stress state for homogeneous reinforcing membranes, and the uniaxial-stress state for clusters of reinforcing fibers.

The coordinate systems for one reinforcing layer are shown in Figure 263.2: REINF263 Coordinate System. Each reinforcing layer is indicated by its intersection points (II, JJ for linear base elements, and II, JJ, KK, for quadratic base elements) with the base elements. Fibers in this layer are always parallel to the first coordinate axis x. The x axis is default to the first parametric direction S1 at the center of the layer. The default axis is defined as

where

{x} = h1{x}II + h2{x}JJ + h3{x}KK
{x}II, {x}JJ, {x}KK = global coordinates of intersection points
h1, h2, h3 = line shape functions

You can reorient the default layer coordinate system by projecting a local coordinate system (LOCAL) to the layer plane. One local coordinate system is allowed for each layer. The local coordinate system reference number is given via the SECDATA command.

You can further reorient the layer coordinate system by angle θ (in degrees) for each layer. The value of θ is also specified for each layer via the SECDATA command. For more information about visualizing fiber orientations, see /PSYMB.

You can use REINF263 to reinforce 2D solid elements with plane-stress, plane-strain, axisymmetric (with or without torsion), and generalized plane-strain behaviors. The element can also reinforce axisymmetric shells or membranes (with or without uniform torsion). The element accounts for various base element behaviors automatically.

REINF263 enables you to specify tension-only or compression-only reinforcing fiber behavior (SECCONTROL,TENSKEY). This option is not available when the plane-stress state is selected (SECCONTROL,,,MEMOPT).

REINF263 allows tension-only or compression-only reinforcing fibers. You can specify the desired fiber behavior (SECCONTROL).

The element can account for redundant base element material where the reinforcing fibers are located (SECCONTROL,,REMBASE).

For a structural analysis, REINF263 allows body-force-density element loading (BFE), as shown in these examples:

BFE,2,FORC,1,VALUE1,VALUE2 ! Apply real part to element 2
BFE,2,FORC,4,VALUE1,VALUE2 ! Apply imaginary part to element 2

If applying body-force density to REINF263 elements, the program applies a uniform load to all members in the element. You can apply non-uniform body-force density to individual members via the mesh-independent method by loading to MESH200 elements.

Apply other structural element loading only to the base element. The temperature of the REINF263 element is identical to the temperature of the base element in a structural analysis.

For thermal reinforcing analysis, REINF263 allows heat-generation (HGEN) element loading (BFE), as shown in these examples:

BFE,2,HGEN,1,VALUE1,VALUE2 ! Member 1 of element 2
BFE,2,HGEN,3,%tab1%,, ! Member 2 of element 2
BFE,2,HGEN,5,%tab2%,, ! Member 3 of element 2
BFE,2,HGEN,7,VALUE1,VALUE2 ! Member 4 of element 2
VALUE1 and VALUE2 are at the corner points II JJ only. Midpoint values are not allowed.
If using the mesh-independent method for defining reinforcing, apply the HGEN load to the MESH200 elements instead.

You can apply an initial state to this element in either of the following ways:

For cases involving many elements, an easier and more efficient method is available. Using the mesh-independent method, you can apply an initial state to the MESH200 elements first. Mechanical APDL then transfers the initial state to the newly created reinforcing elements automatically.

A summary of the element input follows.

REINF263 Input Summary

Nodes

Structural

Same as those of the base element, as shown:

Base Element REINF263 Nodes
2D 4-Node SolidI,J,K,L
2D 8-Node SolidI,J,K,L,M,N,O,P
2D 2-Node Axisymmetric ShellI,J
2D 3-Node Axisymmetric ShellI,J,K

Thermal

Base Element REINF263 Nodes
2D 4-Node Thermal Solid PLANE292I,J,K,L
2D 8-Node Thermal Solid PLANE293I,J,K,L,M,N,O,P
Degrees of Freedom

Structural

Same as those of the base element, as shown:

Base Element REINF263 DOFs
2D 4-Node or 8-Node SolidUX, UY
2D 4-Node or 8-Node Axisymmetric Solid with TorsionUX, UY, ROTY
2D 2-Node Axisymmetric ShellUX, UY, ROTZ
2D 2-Node Axisymmetric MembraneUX, UY
2D 2-Node Axisymmetric Shell Allowing Uniform TorsionUX, UY, UZ, ROTX
2D 2-Node Axisymmetric Membrane Allowing Uniform TorsionUX, UY, UZ

Thermal

Base Element REINF263 DOFs
2D 4-Node Thermal Solid PLANE292TEMP
2D 8-Node Thermal Solid PLANE293TEMP
Real Constants
None
Material Properties
TB command: See Element Support for Material Models for this element.
MP command: EX, (PRXY or NUXY), ALPX (or CTEX or THSX), DENS, GXY, ALPD, BETD, DMPR, DMPS
Surface Loads
None
Body Loads
Temperatures (Structural) -- 

Same as those of the base element

Body-Force Density -- 

Standard method -- Specified via BFE

Mesh-independent method -- Specified via BFE on MESH200 elements

Thermal -- 

HGEN –

Standard method – Specified via BFE
Mesh-independent method – Specified via BF or BFE on MESH200 elements
Special Features
KEYOPTS

None

REINF263 Output Data

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

The following figure illustrates the axial stress component:

Figure 263.3: REINF263 Stress Output

REINF263 Stress Output
REINF263 Stress Output
Uni-axial Stress StatePlane Stress State
x = x0, x1, or xf is the layer x axis.

Unlike layered solid or shell elements (such as SHELL181), REINF263 always outputs the element solution for all reinforcing layers. You can select solution items for a specific reinforcing layer (LAYER) for listing and visualization by using full graphics (/GRAPHICS,FULL). Visualization via PowerGraphics (/GRAPHICS,POWER) is not affected by the LAYER command; all reinforcing layers are displayed simultaneously. See the Basic Analysis Guide for ways to review results.

REINF263 element solution is always output in the layer coordinate system and does not support transformation to a different coordinate system. RSYS has no effect on REINF263 element solution.

To inspect REINF263 element results, select only REINF263 element results or adjust translucency level of the base elements before executing any plotting command. REINF263 display options are also available directly via the GUI (Main Menu> Preprocessor> Sections> Reinforcing> Display Options).

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 263.1: REINF263 Element Output Definitions – Structural Analysis

Name Definition O R
ELElement number and name-Y
NODESNodes (as shown in "REINF263 Input Summary")-Y
MATMaterial number-Y
THICK

Averaged equivalent layer thickness (uniaxial stress state)

Averaged layer thickness (plane stress state)

See "REINF263 Input Data".

-Y
SPACINGAveraged distance between two adjacent fibers [5]-Y
VOLU:Volume-Y
XC, YC, ZCCenter location- 3
TEMPT1, T2 for reinforcing layer 1; T3, T4 for reinforcing layer 2; ending with temperatures for the last reinforcing layer NL (2*NL maximum)-Y
S:xAxial stresses (uniaxial-stress state)2Y
S:x, y, z, xyStresses (plane-stress state, Sz = 0.0)2Y
EPEL:xAxial elastic strains (uniaxial-stress state)2Y
EPEL:x, y, z, xyElastic strains (plane-stress state)2Y
EPTH:xAxial thermal strains (uniaxial-stress state)2Y
EPTH:x, y, z, xyThermal strains (plane-stress state)2Y
EPPL:xAxial plastic strains (uniaxial-stress state)21
EPPL:x, y, z, xyPlastic strains (plane-stress state)21
EPCR:xAxial creep strains (uniaxial-stress state)21
EPCR:x, y, z, xyCreep strains (plane-stress state)21
EPTO:xTotal axial mechanical strains (EPEL + EPPL + EPCR, uniaxial-stress state)Y-
EPTO:x, y, z, xyTotal mechanical strains (EPEL + EPPL + EPCR, plane-stress state)Y-
EPTT:xTotal axial strains (EPEL + EPPL + EPCR + EPTH, uniaxial-stress state)Y-
EPTTx, y, z, xyTotal strains (EPEL + EPPL + EPCR + EPTH, plane-stress state)Y-
NL:EPEQAccumulated equivalent plastic strain- 1
NL:CREQAccumulated equivalent creep strain- 1
NL:SRATPlastic yielding (1 = actively yielding, 0 = not yielding)- 1
NL:PLWKPlastic work/volume- 1
N11Averaged axial force per unit unit length [5]-Y
LOCI:X, Y, ZIntegration point locations- 4

Table 263.2: REINF263 Element Output Definitions – Thermal Analysis

Name Definition O R
ELElement number and name-Y
NODESNodes (as shown in "REINF263 Input Summary")-Y
MATMaterial number-Y
THICK

Averaged equivalent layer thickness (uniaxial stress state)

Averaged layer thickness (plane stress state)

See "REINF263 Input Data".

-Y
VOLU:Volume-Y
XC, YC, ZCCenter location- 3
BFE TEMPT1, T2 for reinforcing members (individual reinforcings)-Y
TG:x, yTemperature gradient along the x and y directions (of layer CSYS) for all members2Y
TF:x, yHeat flux along the x and y directions (of layer CSYS) for all reinforcing members (individual reinforcings)2Y

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

  2. Stresses, total strains, plastic strains, elastic strains, creep strains, and thermal strains in the element coordinate system are available for output.

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

  4. Available only if OUTRES,LOCI is used for structural analysis.

  5. Applicable only if uniaxial stress state is used.

Table 263.3: REINF263 Item and Sequence Numbers lists output available via ETABLE using the Sequence Number method. See Creating an Element Table and The Item and Sequence Number Table in this document for more information. The following notation is used in Table 263.3: REINF263 Item and Sequence Numbers:

Name

output quantity as defined in Table 263.1: REINF263 Element Output Definitions – Structural Analysis

Item

predetermined Item label for ETABLE

E

sequence number for single-valued or constant element data

Table 263.3: REINF263 Item and Sequence Numbers

Output Quantity Name ETABLE and ESOL Command Input
Item E
N11SMISC(i - 1) * 5 + 1
THICKSMISC(i - 1) * 5 + 2
SPACINGSMISC(i - 1) * 5 + 3
HEATSMISC(i - 1) * 5 + 4
VOLUMESMISC(i - 1) * 5 + 5

The i value (where i = 1, 2, 3, ..., NL) represents the reinforcing member number of the element. NL is the maximum reinforcing member number (1 NL 250).

REINF263 Assumptions and Restrictions

  • Zero-volume elements are invalid.

  • This element can be used only with these base element types:

    Structural – SHELL208, SHELL209, PLANE182, and PLANE183
    Thermal – PLANE292, PLANE293

  • A valid base element must be present for each REINF263 element.

  • The reinforcing element is firmly attached to its base element. No relative movement between the reinforcing element and the base is allowed. For a thermal analysis, the temperature field is continuous at the interface between the base element and the reinforcing.

  • Through-thickness reinforcing is not permitted in shells and layered solid elements.

  • Stress stiffening is always included in geometrically nonlinear analyses (NLGEOM,ON). You can also activate prestress effects (PSTRES).

  • To simulate tension-/compression-only reinforcing fibers, a nonlinear iterative solution approach is necessary.

REINF263 Product Restrictions

There are no product-specific restrictions for this element.