added relativistic correction of velocity (maximum velocity given by parameter in material.config); probability of thermal activation in velocity law not allowed to be greater than one.

output of creation rate for edge jogs now for own system, not collinear.
check for negative densities in dotState now uses absoluteToleranceRho instead of significantRho.
This commit is contained in:
Christoph Kords 2012-08-30 07:33:13 +00:00
parent 801c0380b6
commit d80b45c1d9
2 changed files with 40 additions and 14 deletions

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@ -285,6 +285,7 @@ viscosity 1e-4 # viscosity for dislocation gli
p 1 # exponent for thermal barrier profile p 1 # exponent for thermal barrier profile
q 1 # exponent for thermal barrier profile q 1 # exponent for thermal barrier profile
attackFrequency 50e9 # attack frequency in Hz attackFrequency 50e9 # attack frequency in Hz
maximumVelocity 3600 # maximum allowed velocity
surfaceTransmissivity 1.0 # transmissivity of free surfaces for dislocation flux surfaceTransmissivity 1.0 # transmissivity of free surfaces for dislocation flux
grainboundaryTransmissivity 0.0 # transmissivity of grain boundaries for dislocation flux (grain bundaries are identified as interfaces with different textures on both sides); if not set or set to negative number, the subroutine automatically determines the transmissivity at the grain boundary grainboundaryTransmissivity 0.0 # transmissivity of grain boundaries for dislocation flux (grain bundaries are identified as interfaces with different textures on both sides); if not set or set to negative number, the subroutine automatically determines the transmissivity at the grain boundary
interaction_SlipSlip 0 0 0.625 0.07 0.137 0.122 # Dislocation interaction coefficient interaction_SlipSlip 0 0 0.625 0.07 0.137 0.122 # Dislocation interaction coefficient

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@ -125,6 +125,7 @@ constitutive_nonlocal_p, & ! parameter
constitutive_nonlocal_q, & ! parameter for kinetic law (Kocks,Argon,Ashby) constitutive_nonlocal_q, & ! parameter for kinetic law (Kocks,Argon,Ashby)
constitutive_nonlocal_viscosity, & ! viscosity for dislocation glide in Pa s constitutive_nonlocal_viscosity, & ! viscosity for dislocation glide in Pa s
constitutive_nonlocal_fattack, & ! attack frequency in Hz constitutive_nonlocal_fattack, & ! attack frequency in Hz
constitutive_nonlocal_vmax, & ! maximum allowed velocity
constitutive_nonlocal_rhoSglScatter, & ! standard deviation of scatter in initial dislocation density constitutive_nonlocal_rhoSglScatter, & ! standard deviation of scatter in initial dislocation density
constitutive_nonlocal_surfaceTransmissivity, & ! transmissivity at free surface constitutive_nonlocal_surfaceTransmissivity, & ! transmissivity at free surface
constitutive_nonlocal_grainboundaryTransmissivity, & ! transmissivity at grain boundary (identified by different texture) constitutive_nonlocal_grainboundaryTransmissivity, & ! transmissivity at grain boundary (identified by different texture)
@ -330,6 +331,7 @@ allocate(constitutive_nonlocal_p(maxNinstance))
allocate(constitutive_nonlocal_q(maxNinstance)) allocate(constitutive_nonlocal_q(maxNinstance))
allocate(constitutive_nonlocal_viscosity(maxNinstance)) allocate(constitutive_nonlocal_viscosity(maxNinstance))
allocate(constitutive_nonlocal_fattack(maxNinstance)) allocate(constitutive_nonlocal_fattack(maxNinstance))
allocate(constitutive_nonlocal_vmax(maxNinstance))
allocate(constitutive_nonlocal_rhoSglScatter(maxNinstance)) allocate(constitutive_nonlocal_rhoSglScatter(maxNinstance))
allocate(constitutive_nonlocal_surfaceTransmissivity(maxNinstance)) allocate(constitutive_nonlocal_surfaceTransmissivity(maxNinstance))
allocate(constitutive_nonlocal_grainboundaryTransmissivity(maxNinstance)) allocate(constitutive_nonlocal_grainboundaryTransmissivity(maxNinstance))
@ -359,6 +361,7 @@ constitutive_nonlocal_p = 1.0_pReal
constitutive_nonlocal_q = 1.0_pReal constitutive_nonlocal_q = 1.0_pReal
constitutive_nonlocal_viscosity = 0.0_pReal constitutive_nonlocal_viscosity = 0.0_pReal
constitutive_nonlocal_fattack = 0.0_pReal constitutive_nonlocal_fattack = 0.0_pReal
constitutive_nonlocal_vmax = 0.0_pReal
constitutive_nonlocal_rhoSglScatter = 0.0_pReal constitutive_nonlocal_rhoSglScatter = 0.0_pReal
constitutive_nonlocal_surfaceTransmissivity = 1.0_pReal constitutive_nonlocal_surfaceTransmissivity = 1.0_pReal
constitutive_nonlocal_grainboundaryTransmissivity = -1.0_pReal constitutive_nonlocal_grainboundaryTransmissivity = -1.0_pReal
@ -501,6 +504,8 @@ do
constitutive_nonlocal_viscosity(i) = IO_floatValue(line,positions,2_pInt) constitutive_nonlocal_viscosity(i) = IO_floatValue(line,positions,2_pInt)
case('attackfrequency','fattack') case('attackfrequency','fattack')
constitutive_nonlocal_fattack(i) = IO_floatValue(line,positions,2_pInt) constitutive_nonlocal_fattack(i) = IO_floatValue(line,positions,2_pInt)
case('maximumvelocity','vmax')
constitutive_nonlocal_vmax(i) = IO_floatValue(line,positions,2_pInt)
case('rhosglscatter') case('rhosglscatter')
constitutive_nonlocal_rhoSglScatter(i) = IO_floatValue(line,positions,2_pInt) constitutive_nonlocal_rhoSglScatter(i) = IO_floatValue(line,positions,2_pInt)
case('surfacetransmissivity') case('surfacetransmissivity')
@ -597,6 +602,8 @@ enddo
//constitutive_nonlocal_label//')') //constitutive_nonlocal_label//')')
if (constitutive_nonlocal_fattack(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='attackFrequency (' & if (constitutive_nonlocal_fattack(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='attackFrequency (' &
//constitutive_nonlocal_label//')') //constitutive_nonlocal_label//')')
if (constitutive_nonlocal_vmax(i) <= 0.0_pReal) call IO_error(211_pInt,ext_msg='maximumVelocity (' &
//constitutive_nonlocal_label//')')
if (constitutive_nonlocal_rhoSglScatter(i) < 0.0_pReal) call IO_error(211_pInt,ext_msg='rhoSglScatter (' & if (constitutive_nonlocal_rhoSglScatter(i) < 0.0_pReal) call IO_error(211_pInt,ext_msg='rhoSglScatter (' &
//constitutive_nonlocal_label//')') //constitutive_nonlocal_label//')')
if (constitutive_nonlocal_surfaceTransmissivity(i) < 0.0_pReal & if (constitutive_nonlocal_surfaceTransmissivity(i) < 0.0_pReal &
@ -1387,12 +1394,16 @@ if (Temperature > 0.0_pReal) then
activationVolume_P = activationLength_P * jumpWidth_P * constitutive_nonlocal_burgers(s,instance) activationVolume_P = activationLength_P * jumpWidth_P * constitutive_nonlocal_burgers(s,instance)
criticalStress_P = constitutive_nonlocal_peierlsStress(s,c,instance) criticalStress_P = constitutive_nonlocal_peierlsStress(s,c,instance)
activationEnergy_P = criticalStress_P * activationVolume_P activationEnergy_P = criticalStress_P * activationVolume_P
tauRel_P = tauEff(s) / criticalStress_P tauRel_P = min(1.0_pReal, tauEff(s) / criticalStress_P) ! ensure that the activation probability cannot become greater than one
tPeierls = 1.0_pReal / constitutive_nonlocal_fattack(instance) & tPeierls = 1.0_pReal / constitutive_nonlocal_fattack(instance) &
* exp(activationEnergy_P / (kB * Temperature) * (1.0_pReal - tauRel_P**p)**q) * exp(activationEnergy_P / (kB * Temperature) * (1.0_pReal - tauRel_P**p)**q)
if (present(dv_dtau)) then if (present(dv_dtau)) then
dtPeierls_dtau = tPeierls * p * q * activationVolume_P / (kB * Temperature) & if (tauEff(s) < criticalStress_P) then
* (1.0_pReal - tauRel_P**p)**(q-1.0_pReal) * tauRel_P**(p-1.0_pReal) dtPeierls_dtau = tPeierls * p * q * activationVolume_P / (kB * Temperature) &
* (1.0_pReal - tauRel_P**p)**(q-1.0_pReal) * tauRel_P**(p-1.0_pReal)
else
dtPeierls_dtau = 0.0_pReal
endif
endif endif
@ -1406,12 +1417,16 @@ if (Temperature > 0.0_pReal) then
activationVolume_S = activationLength_S * jumpWidth_S * constitutive_nonlocal_burgers(s,instance) activationVolume_S = activationLength_S * jumpWidth_S * constitutive_nonlocal_burgers(s,instance)
activationEnergy_S = constitutive_nonlocal_solidSolutionEnergy(instance) activationEnergy_S = constitutive_nonlocal_solidSolutionEnergy(instance)
criticalStress_S = activationEnergy_S / activationVolume_S criticalStress_S = activationEnergy_S / activationVolume_S
tauRel_S = tauEff(s) / criticalStress_S tauRel_S = min(1.0_pReal, tauEff(s) / criticalStress_S) ! ensure that the activation probability cannot become greater than one
tSolidSolution = 1.0_pReal / constitutive_nonlocal_fattack(instance) & tSolidSolution = 1.0_pReal / constitutive_nonlocal_fattack(instance) &
* exp(activationEnergy_S / (kB * Temperature) * (1.0_pReal - tauRel_S**p)**q) * exp(activationEnergy_S / (kB * Temperature) * (1.0_pReal - tauRel_S**p)**q)
if (present(dv_dtau)) then if (present(dv_dtau)) then
dtSolidSolution_dtau = tSolidSolution * p * q * activationVolume_S / (kB * Temperature) & if (tauEff(s) < criticalStress_S) then
* (1.0_pReal - tauRel_S**p)**(q-1.0_pReal) * tauRel_S**(p-1.0_pReal) dtSolidSolution_dtau = tSolidSolution * p * q * activationVolume_S / (kB * Temperature) &
* (1.0_pReal - tauRel_S**p)**(q-1.0_pReal) * tauRel_S**(p-1.0_pReal)
else
dtSolidSolution_dtau = 0.0_pReal
endif
endif endif
@ -1427,15 +1442,26 @@ if (Temperature > 0.0_pReal) then
v(s) = 1.0_pReal / (tPeierls / meanfreepath_P + tSolidSolution / meanfreepath_S + 1.0_pReal / vViscous) & v(s) = 1.0_pReal / (tPeierls / meanfreepath_P + tSolidSolution / meanfreepath_S + 1.0_pReal / vViscous) &
* (1.0_pReal - exp(-tauEff(s) * activationVolume_P / (kB * Temperature))) * (1.0_pReal - exp(-tauEff(s) * activationVolume_P / (kB * Temperature)))
v(s) = sign(v(s),tau(s))
if (present(dv_dtau)) then if (present(dv_dtau)) then
dv_dtau(s) = 1.0_pReal / (tPeierls / meanfreepath_P + tSolidSolution / meanfreepath_S + 1.0_pReal / vViscous) & dv_dtau(s) = 1.0_pReal / (tPeierls / meanfreepath_P + tSolidSolution / meanfreepath_S + 1.0_pReal / vViscous) &
* (abs(v(s)) * ( dtPeierls_dtau / meanfreepath_P & * (v(s) * ( dtPeierls_dtau / meanfreepath_P + dtSolidSolution_dtau / meanfreepath_S &
+ dtSolidSolution_dtau / meanfreepath_S & + 1.0_pReal / (mobility * tauEff(s)*tauEff(s))) &
+ 1.0_pReal / (mobility * tauEff(s)*tauEff(s))) &
+ activationVolume_P / (kB * Temperature) * exp(-tauEff(s) * activationVolume_P / (kB * Temperature))) + activationVolume_P / (kB * Temperature) * exp(-tauEff(s) * activationVolume_P / (kB * Temperature)))
endif endif
!* relativistic correction
if (present(dv_dtau)) then
dv_dtau(s) = dv_dtau(s) * exp( -v(s) / constitutive_nonlocal_vmax(instance))
endif
v(s) = constitutive_nonlocal_vmax(instance) * (1.0_pReal - exp( -v(s) / constitutive_nonlocal_vmax(instance)))
!* adopt sign from resolved stress
v(s) = sign(v(s),tau(s))
endif endif
enddo enddo
endif endif
@ -2244,8 +2270,7 @@ if (numerics_integrationMode == 1_pInt) then
constitutive_nonlocal_rhoDotSingle2DipoleGlide(1:ns,1:2,g,ip,el) = rhoDotSingle2DipoleGlide(1:ns,9:10) constitutive_nonlocal_rhoDotSingle2DipoleGlide(1:ns,1:2,g,ip,el) = rhoDotSingle2DipoleGlide(1:ns,9:10)
constitutive_nonlocal_rhoDotAthermalAnnihilation(1:ns,1:2,g,ip,el) = rhoDotAthermalAnnihilation(1:ns,9:10) constitutive_nonlocal_rhoDotAthermalAnnihilation(1:ns,1:2,g,ip,el) = rhoDotAthermalAnnihilation(1:ns,9:10)
constitutive_nonlocal_rhoDotThermalAnnihilation(1:ns,1:2,g,ip,el) = rhoDotThermalAnnihilation(1:ns,9:10) constitutive_nonlocal_rhoDotThermalAnnihilation(1:ns,1:2,g,ip,el) = rhoDotThermalAnnihilation(1:ns,9:10)
constitutive_nonlocal_rhoDotEdgeJogs(1:ns,g,ip,el) = & constitutive_nonlocal_rhoDotEdgeJogs(1:ns,g,ip,el) = 2.0_pReal * rhoDotThermalAnnihilation(1:ns,1)
2.0_pReal * rhoDotThermalAnnihilation(constitutive_nonlocal_colinearSystem(1:ns,myInstance),1)
endif endif
@ -2269,8 +2294,8 @@ endif
#endif #endif
if ( any(rhoSgl(1:ns,1:4) + rhoDot(1:ns,1:4) * timestep < -constitutive_nonlocal_significantRho(myInstance)) & if ( any(rhoSgl(1:ns,1:4) + rhoDot(1:ns,1:4) * timestep < -constitutive_nonlocal_aTolRho(myInstance)) &
.or. any(rhoDip(1:ns,1:2) + rhoDot(1:ns,9:10) * timestep < -constitutive_nonlocal_significantRho(myInstance))) then .or. any(rhoDip(1:ns,1:2) + rhoDot(1:ns,9:10) * timestep < -constitutive_nonlocal_aTolRho(myInstance))) then
#ifndef _OPENMP #ifndef _OPENMP
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then
write(6,'(a,i5,a,i2)') '<< CONST >> evolution rate leads to negative density at el ',el,' ip ',ip write(6,'(a,i5,a,i2)') '<< CONST >> evolution rate leads to negative density at el ',el,' ip ',ip