MAT1PT

Bulk Data Entry Defines isotropic permittivity and damping for dielectric materials.

Note: This can be used along with the MATPZO Bulk Data Entry for defining piezoelectric coupling.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
MAT1PT MID PMTV         DAMP    
  FLAG1 FLAG2              

Example

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
MAT1PT 17 0.1         1.2    
  STRNCHG RELATIVE              

Definitions

Field Contents SI Unit Example
MID Unique material identification number.

No default (Integer > 0)

  
PMTV Defines the permittivity.

No default (Real > 0.0)

  
DAMP Damping term corresponding to the dielectric term.

No default (Real > 0.0)

  
FLAG1 Flag to indicate the form of definition.
STRNCHG (Default)
Indicates STRAIN-CHARGE form
STRSCHG
Indicates STRESS-CHARGE form
  
FLAG2 Flag to indicate type of permittivity.
ABSOLUTE (Default)
Absolute permittivity
RELATIVE
Relative permittivity
In this case, vacuum permittivity also needs to be provided by PARAM, VAPMTV.
  

Comments

  1. The material identification number/string may be the shared with structural material property definitions (MAT1, MAT2, MAT8, MAT9 or MGASK), thermal material property definitions (MAT4, MAT5), or electrical material property definitions (MAT1EC or MAT2EC) but must be unique with respect to other dielectric materials (MAT2PT).
  2. MAT1PT is supported only for solid elements.
  3. The material permittivity is obtained as:(1)
    ε = ε 0 ε r MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyTduMaey ypa0JaeqyTdu2aaSbaaSqaaiaaicdaaeqaaOGaeqyTdu2aaSbaaSqa aiaadkhaaeqaaaaa@3E01@
    Where,
    ε 0 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyTdu2aaS baaSqaaiaaicdaaeqaaaaa@3880@
    Vacuum permittivity
    ε r MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyTdu2aaS baaSqaaiaadkhaaeqaaaaa@38BD@
    Coefficient defined by PMTV
    The permittivity matrix, in Stress-Charge form, is expressed as:(2)
    ε S = ε 0 ε r 0 0 0 ε 0 ε r 0 0 0 ε 0 ε r MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaacq aH1oqzdaWgaaWcbaGaam4uaaqabaaakiaawUfacaGLDbaacqGH9aqp daWadaqaauaabeqadmaaaeaacqaH1oqzdaWgaaWcbaGaaGimaaqaba GccqaH1oqzdaWgaaWcbaGaamOCaaqabaaakeaacaaIWaaabaGaaGim aaqaaiaaicdaaeaacqaH1oqzdaWgaaWcbaGaaGimaaqabaGccqaH1o qzdaWgaaWcbaGaamOCaaqabaaakeaacaaIWaaabaGaaGimaaqaaiaa icdaaeaacqaH1oqzdaWgaaWcbaGaaGimaaqabaGccqaH1oqzdaWgaa WcbaGaamOCaaqabaaaaaGccaGLBbGaayzxaaaaaa@5246@
    When FLAG=STRNCHG, Strain-Charge form is defined in the card, and the permittivity matrix is expressed as:(3)
    ε T = ε 0 ε r 0 0 0 ε 0 ε r 0 0 0 ε 0 ε r MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaacq aH1oqzdaWgaaWcbaGaamivaaqabaaakiaawUfacaGLDbaacqGH9aqp daWadaqaauaabeqadmaaaeaacqaH1oqzdaWgaaWcbaGaaGimaaqaba GccqaH1oqzdaWgaaWcbaGaamOCaaqabaaakeaacaaIWaaabaGaaGim aaqaaiaaicdaaeaacqaH1oqzdaWgaaWcbaGaaGimaaqabaGccqaH1o qzdaWgaaWcbaGaamOCaaqabaaakeaacaaIWaaabaGaaGimaaqaaiaa icdaaeaacqaH1oqzdaWgaaWcbaGaaGimaaqabaGccqaH1oqzdaWgaa WcbaGaamOCaaqabaaaaaGccaGLBbGaayzxaaaaaa@5247@
    The ε T MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaacq aH1oqzdaWgaaWcbaGaamivaaqabaaakiaawUfacaGLDbaaaaa@3A9B@ matrix is converted to ε S MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaacq aH1oqzdaWgaaWcbaGaam4uaaqabaaakiaawUfacaGLDbaaaaa@3A9A@ matrix by:(4)
    ε S = ε T −d c E d T MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyTdu2aaS baaSqaaiaadofaaeqaaOGaeyypa0JaeqyTdu2aaSbaaSqaaiaadsfa aeqaaOGaeyOeI0IaamizaiaadogadaWgaaWcbaGaamyraaqabaGcca WGKbWaaWbaaSqabeaacaWGubaaaaaa@4211@
    Where,
    c E MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4yamaaBa aaleaacaWGfbaabeaaaaa@37D1@
    Elastic matrix
    d MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamizaaaa@36DC@
    Piezoelectric coupling matrix defined in MATPZO
  4. For more information, refer to Piezoelectric Analysis in the User Guide.