MAT9

Bulk Data Entry Defines the material properties for linear, temperature-independent, and anisotropic materials for solid elements.

Format

(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
MAT9	`MID`	`G11`	`G12`	`G13`	`G14`	`G15`	`G16`	`G22`
	`G23`	`G24`	`G25`	`G26`	`G33`	`G34`	`G35`	`G36`
	`G44`	`G45`	`G46`	`G55`	`G56`	`G66`	`RHO`	`A1`
	`A2`	`A3`	`A4`	`A5`	`A6`	`TREF`	`GE`

Example

(1)	(2)	(3)	(5)	(6)	(7)	(8)	(9)
MAT9	17	6.2+3					6.2+3
				6.2+3
	5.1+3		5.1+3		5.1+3	3.2	6.5-6
	6.5-6				125.

Definitions

Field	Contents	SI Unit Example
`MID`	Unique material identification. Integer Specifies an identification number for this material. <String> Specifies a user-defined string label for this material entry. 2 No default (Integer > 0 or <String>)
`Gij`	The material property matrix. No default (Real)
`RHO`	Mass density. Used to automatically compute mass for all structural elements. No default (Real)
`Ai`	Thermal expansion coefficient vector. No default (Real)
`TREF`	Reference temperature for the calculation of thermal loads. Default = blank (Real or blank)
`GE`	Structural element damping coefficient. 8 No default (Real)

Comments

The material identification number/string must be unique for all MAT1, MAT2, MAT8, MAT9OR and MAT9 entries.
String based labels allow for easier visual identification of materials, including when being referenced by other cards. (example, the MID field of properties). For more details, refer to String Label Based Input File in the Bulk Data Input File.
The convention for the Gij in fields 3 through 8 is represented by the matrix relationship.(1)
${\begin{matrix} σ_{x} \\ σ_{y} \\ σ_{z} \\ τ_{xy} \\ τ_{yz} \\ τ_{zk} \end{matrix}} = [\begin{matrix} G 11 & G 12 & G 13 & G 14 & G 15 & G 16 \\ G 22 & G 23 & G 24 & G 25 & G 26 \\ G 33 & G 34 & G 35 & G 36 \\ G 44 & G 45 & G 46 \\ symmetric & G 55 & G 56 \\ G 66 \end{matrix}] ({\begin{matrix} ε_{x} \\ ε_{y} \\ ε_{z} \\ γ_{xy} \\ γ_{yz} \\ γ_{zx} \end{matrix}} - {\begin{matrix} A 1 \\ A 2 \\ A 3 \\ A 4 \\ A 5 \\ A 6 \end{matrix}} (T - TREF))$

The subscripts 1 to 6 refer to x, y, z, xy, yz, and zx of the material coordinate system defined by the CORDM field on the PSOLID entry.
Unlike the MAT1 entry, data from the MAT9 entry is used directly, without adjustment of equivalent E, G, or NU values.
If material data is to specified with the Engineering Constants E1, E2, E3, NU12, NU13, NU23, G12, G23, and G13, then use the MAT9OR data.
The last continuation is optional.
Long field format can be used.
To obtain the damping coefficient GE, multiply the critical damping ratio, $C / C_{0}$ by 2.0.
This card is represented as a material in HyperMesh.