Bulk Data Entry Defines the coupling terms between structural and
dielectric materials for defining a piezoelectric coupling.
Format
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
(7) |
(8) |
(9) |
(10) |
MATPZO |
MID |
PIEZO11 |
PIEZO12 |
PIEZO13 |
PIEZO14 |
PIEZO15 |
PIEZO16 |
FLAG |
|
|
|
PIEZO21 |
PIEZO22 |
PIEZO23 |
PIEZO24 |
PIEZO25 |
PIEZO26 |
|
|
|
|
PIEZO31 |
PIEZO32 |
PIEZO33 |
PIEZO34 |
PIEZO35 |
PIEZO36 |
|
|
|
DAMP |
DPZO11 |
DPZO12 |
DPZO13 |
DPZO15 |
DPZO15 |
DPZO16 |
|
|
|
|
DPZO21 |
DPZO22 |
DPZO23 |
DPZO25 |
DPZO25 |
DPZO26 |
|
|
|
|
DPZO31 |
DPZO32 |
DPZO33 |
DPZO35 |
DPZO35 |
DPZO36 |
|
|
Example
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
(7) |
(8) |
(9) |
(10) |
MATPZO |
1 |
0.1 |
|
|
1.5 |
|
0.01 |
STRS |
|
|
|
|
0.01 |
|
|
|
|
|
|
|
|
|
|
0.02 |
|
|
|
|
|
Definitions
Field |
Contents |
SI Unit Example |
MID |
Unique material
identification number. No default (Integer > 0)
|
|
PIEZOij |
Coupling terms for the
piezoelectric material where i and
j denote coordinate axes. 1Default = 0.0 (Real)
|
|
FLAG |
Flag to indicate the form
of the coupling terms (PIEZOij).
- STRSCHG (Default)
- Stress-charge form
- STRNCHG
- Strain-charge form
|
|
DAMP |
Flag to indicate the
damping coefficients for piezoelectric coupling terms. |
|
DPZOij |
Coupling terms for the
piezoelectric damping where i and
j denote coordinate axes.Default = 0.0
(Real)
|
|
Comments
- Values in
PIEZOij and DPZOij can be blank,
but at least one non-zero value of PIEZOij and
DPZOij must be defined for a
MATPZO Bulk Data Entry.
- The material identification number
can be the shared with structural materials (MAT1,
MAT2, MAT8,
MAT9 or MGASK), thermal materials
(MAT4, MAT5), or electrical
materials (MAT1EC, MAT2EC) but must be
unique with respect to other dielectric materials
(MAT1PT, MAT2PT).
- MATPZO is
supported for solid elements only.
- The formulation is as follows:
- When FLAG=STRSCHG, the
piezoelectric material matrix has the following
form:(1)
(2)
- When FLAG=STRNCHG, the
coefficients form the coupling matrix
as:(3)
The
matrix is converted to the
matrix by:(4)
Where,
-
- Elastic material matrix
-
- Permittivity matrix defined by MAT1PT or
MAT2PT
-
- Refers to the coupling terms (
) when
FLAG=STRSCHG
-
- Refers to the coupling terms (
) when
FLAG=STRNCHG
- For more information, refer to Piezoelectric Analysis in the User
Guide.