APDL

APDL file for PV Material Properties (released on Sep. 2021)

!################################################################################################

! Material Data (The order definition should be in the following sequence due to the number of temperature in Table)

! 1: Glass

! 7: Al

! 5: Si  (E and nu: Ortho, CTE: temp dep. => Temp =2)

! 4: Cu (E: temp. dep. and bilinear => Temp =3)

! 6: BS (E: temp. dep. => Temp =3)

! 3: Solder (E: temp. dep. =>Temp =5, Viscoplastic : Anand)

! 2: EVA (E: temp. dep. =>Temp =9, Viscealstic: Prony)

!################################################################################################

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! 1:  Glass 

!  E, nu and CTE from Eitner 2011 and Hasan 2014

!************************************************************************************

ex,1,   73000  

nuxy,1, 0.23

alpx,1, 8.0E-06 

!

!************************************************************************************

! 7: Aluminum 

! (from Matweb)     

!************************************************************************************

ex,7,   68000

nuxy,7, 0.36

alpx,7, 24E-06

!

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! 5:  Silicon Wafer : Transverse Isotropic Modeling

!  E and nu from Hopcroft 2010 (Transversly Isotropic)

! CTE from Lyon 1977 

!************************************************************************************

MPTEMP,1, 

mpdata, EX, 5,, 169000 

mpdata, EY, 5,, 130000 

mpdata, EZ, 5,, 169000 

mpdata, PRXY, 5,, 0.28

mpdata, PRYZ, 5,, 0.064 

mpdata, PRXZ, 5,, 0.364

mpdata, GXY, 5,, 79600 

mpdata, GYZ, 5,, 50900 

mpdata, GXZ, 5,, 79600

!

! mptemp, starting locatin in table

mptemp, 1,  273-40, 273+85,     ! Kevin

! mpdata, lab, mat, starting locatin in tabl, C1, 

! CTE

!mpdata, alpx, 5, 1, 1.9e-6, 2.7e-6, ! 1/K

mpdata, alpx, 5, 1, 1.9e-6, 3.0e-6, ! 1/K

!

!************************************************************************************

! 4:  Copper

!  E  from Wiese 2010 (bilinear)

!  nu from Matweb

!  CTE from White 1997 

!************************************************************************************

! mptemp, starting locatin in table

mptemp, 1,  273-40, 273+25, 273+125     ! Kevin

! mpdata, lab, mat, starting locatin in tabl, C1, 

! Young's modulus

mpdata,ex, 4, 1, 91500, 85700, 82000,   ! MPa

! Poisson's ratio

mpdata,nuxy, 4, 1, 0.36, 0.36, 0.36

! CTE

mpdata,alpx, 4, 1, 16.7e-6, 16.7e-6, 16.7e-6 ! 1/K

!

! TB, BISO, Material ID, Number of temp (default=1),

TB, BISO, 4, 3,

TBTEMP, 273-40  

TBDATA,, 116.2, 1000,,,,  

TBTEMP, 273+25  

TBDATA,, 95.1, 1000,,,,   

TBTEMP, 273+125 

TBDATA,, 62.6, 1000,,,,   

!

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! 6:  Backsheet

!  E for PET type from Geretschlarger 2016 (PET type) and Kawaguchi 1958(PET and temp)

!  nu from Eitner 2011

!  CTE from Matweb (averaged from PET unreinforced)

!************************************************************************************

! mptemp, starting locatin in table

mptemp, 1,  273-40, 273+25, 273+85     ! Kevin

! mpdata, lab, mat, starting locatin in tabl, C1, 

! Young's modulus

mpdata,ex, 6, 1, 3100, 2400, 1700,   ! MPa

! Poisson's ratio

mpdata,nuxy, 6, 1, 0.29, 0.29, 0.29

! CTE

mpdata,alpx, 6, 1, 75e-6, 75e-6, 75e-6 ! 1/K

!

!************************************************************************************

! 3:  Solder

!  E and nu: Lao Book (1997): Solder Joint Reliability of BGA, CSP, Flip Chip, and Fine Pitch SMT Assemblies

!  CTE: Matweb

! Anad: Darveaux Sn36Pb2Ag (2000)

!************************************************************************************

MPTEMP,1,  273-50,   273+0,   273+50,   273+100,   273+150

MPDATA,ex, 3,1,  36500, 32000, 27500, 23000, 18000

MPDATA,nuxy, 3,1, 0.4,   0.4,   0.4,   0.4,   0.4  

mpdata,alpx, 3, 1, 24e-6, 24e-6, 24e-6, 24e-6, 24e-6 ! 1/K

! Anand

!TB, rate, mat, number of temp, The number of data points to be specified

TB,RATE,3, ,9,ANAND

TBTEMP,

TBDATA, , 12.41, 9400, 4.0e6, 1.5, 0.303, 1379

TBDATA, , 13.79, 0.07, 1.3 

!

!************************************************************************************

! 2:  EVA 

!  E and nu from Eitner 2011

!  CTE from Dietrich 2010

!  Viscosity from Hasan 2014 

!************************************************************************************

! define linear prameters

! mptemp, starting locatin in table

mptemp, 1, 273-60, 273-40, 273-15.5, 273-14.5, 273, 273+20,     ! Kevin

mptemp, 7, 273+40, 273+60, 273+80, 273+100,   ! Kevin

! mpdata, lab, mat, starting locatin in tabl, C1, 

! Ex and Nu from the curve plot of Eitner 2011

mpdata,ex, 2, 1, 2240, 1680, 89.6, 89.6, 36.4, 25.2,    ! MPa

mpdata,ex, 2, 7, 16.8, 8.4, 7.8, 7.8,  ! MPa

mpdata,nuxy, 2, 1, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 

mpdata,nuxy, 2, 7, 0.4, 0.4, 0.4, 0.4

! alpx from Dietrich 2010

mpdata,alpx, 2, 1, 90e-6, 90e-6, 90e-6, 360e-6, 360e-6, 360e-6,  ! 1/K

mpdata,alpx, 2, 7, 360e-6, 360e-6, 360e-6, 360e-6 ! 1/K

!

! define viscousity parameters

! TB, Prony, Material ID, Number of temp (default=1), Number of Prony Series, Shear or Bulk

! TBDATA, Starting location in table for entering data, alpah1, T1, alpha2, T2

tb,prony, 2, , 26, shear        ! for EVA (ID =2)

tbdata,1, 0.5467175, 0.0001219, 0.2222377, 0.0007823, 0.0992664, 0.0063471,

tbdata,7, 0.0590673, 0.075255, 0.0265249, 1.261626, 0.0136822, 15.7945,

tbdata,13, 0.0105574, 235.0052, 0.0037958, 10333.19, 0.002486, 99967.33,

tbdata,19, 0.0010978, 1000001, 0.0021774, 1e7, 0.0010461, 1e8,

tbdata,25, 0.0015563, 1e9, 0.0023002, 1e10, 0.0008377, 1e11,

tbdata,31, 0.0013597, 1e12, 0.0013157, 1e13, 0.00076, 1e14,

tbdata,37, 0.0011088, 1e15, 0.0005415, 1e16, 0.0005575, 1e17,

tbdata,43, 0.0003087, 1e18, 0.000177, 1e19, 1.122e-5, 1e20,

tbdata,49, 1.536e-8, 1e21, 6.337e-6, 1e22

!

! TB, Shift, Material ID,  , Number of Material Constant 3 for WLF, WLF or TN or FICT

! TBDATA, Starting location in table for entering data, Tr(K), C1, C2(K)

tb,shift, 2, , ,WLF   ! Williams-Landel-Ferry shift function

tbdata,1, 253, 48.44, 172.55

!

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