# TABLEM1

Bulk Data Entry Defines a tabular function for use in generating temperature-dependent material properties.

## Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
TABLEM1 TID     FLAT
x1 y1 x2 y2 x3 y3 etc. ENDT

## Example

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
TABLEM1 32
-3.0 6.9 2.0 5.6 3.0 5.6 ENDT

## Definitions

Field Contents SI Unit Example
TID Table identification number.

(Integer > 0)

FLAT
Specifies the handling method for y-values outside the specified range of x-values in the table.
=0 (Default)
If an x-value input is outside the range of x-values specified on the table, the corresponding y-value look up is performed using linear extrapolation from the two start or two end points.
=FLAT or 1
If an x-value input is outside the range of x-values specified on the table, the corresponding y-value is equal to the start or end points, respectively.

xi, yi Tabular values.

Any xi-yi pair may be ignored by placing SKIP in either of the two fields.

(Real)

ENDT Flag indicating the end of the table.

1. $xi$ must be in either ascending or descending order, but not both.
2. Discontinuities may be specified between any two points except the two start points or two end points. For example, in Figure 1, discontinuities are allowed only between points $x2$ through $x7$ . Also, if $y$ is evaluated at a discontinuity, then the average value of $y$ is used. In Figure 1, the value of $y$ at $x=x3$ is $y=\left(y3+y4\right)/2$ .
3. At least one continuation entry must be specified.
4. The end of the table is indicated by the existence of ENDT in either of the two fields following the last entry. An error is detected if any continuations follow the entry containing the end-of-table flag ENDT.
5. For FLAT=0 (default), TABLEM1 uses the algorithm. 6:(1)
$y=yT\mathit{\left(}x\mathit{\right)}$
Where,
$x$
Input to the table
$y$
Is returned
The table look-up is performed using linear interpolation within the table and linear extrapolation outside the table using the two start or end points (see Figure 1). No warning messages are issued, if the table data is input incorrectly.

For FLAT=1, the same algorithm as FLAT=0 is used, except that values outside the range are not extrapolated. The corresponding start or end point y-values are used for all y-values outside the range.

6. In a nonlinear heat transfer analysis, TABLEM1 uses the following algorithm:(2)
$y=z \left[yT\mathit{\left(}x\mathit{\right)}\right]$
Where,
$x$
Input to the table
$y$
Is returned
$z$
Is the corresponding entity value (for example, conductivity) from the MAT4 entry

This TABLEM1 entry when referenced on the MATT4 entry specifies corresponding multipliers to generate the final material properties ( $y$ ) for various $x$ values.

7. This card is represented as a load collector in HyperMesh.