66.4. Material Properties

The base is defined as linear elastic material with Young’s modulus 123.7 GPa and Poisson’s ratio 0.356.

Contact between the bridge and the substrate is defined as standard contact with friction coefficient 0.2.

66.4.1. Part 1: Basic Material Model Definition

Basic model definitions consist of the sintering activation temperature, the sintering stress mode, and the grain-growth mode.

The shrinkage begins at a sintering activation temperature of 1000℃, and the sintering stress model is the grain-size-corrected Skorohold-Olevsky. For grain growth, a parabolic grain-growth model is selected.

   Ts = 1000 + 273      ! Sintering Temperature (absolute)
   modeStress = 1       ! Olevsky (grain-size corrected)
   modeGrain  = 1       ! Parabolic grain growth 
   TB,SINT,1,,,PARAM
   TBDATA,1,Ts, modeStress, modeGrain

66.4.2. Part 2: Grain-Growth Definition

316L stainless steel has different grain-growth behavior at temperatures below 1200℃ and above 1200℃:[1]

   TBFIELD,TEMP,1199+273
   TBDATA,1,4*5.6e-14,50e3,U_R
   TBFIELD,TEMP,1200+273
   TBDATA,1,4*84.09e-14,315.8e3,U_R

66.4.3. Part 3: Initial-Data Definition

The initial relative density and initial powder particle diameter are given as 0.52 um and 8.62 um, respectively:

   d0  = 0          ! Initial powder diameter (not needed) 
   g0  = 8.62E-06   ! Initial grain diameter
   rh0 = 0.52       ! initial relative density 
   TB,SINT,1,,,INIT
   TBDATA,1,rh0,,g0

66.4.4. Part 4: Viscosity Definition

The viscosity below 1050℃ is determined via the Arrhenius relation. Viscosity above 1050℃ is obtained from this figure:[2]

Figure 66.5: Viscosity Variation with Temperature

Viscosity Variation with Temperature

Viscosity is defined via TB,SINT,,,,VSTLOG.

66.4.5. Part 5: Sintering Moduli Model Definition

The Skorohold-Olevsky (SOVS) sintering moduli model is specified (TB,SINT,,,,SOVS):

  TB,SINT,,,,SOVS
  TBDATA,1,1,2,2/3,3,1

66.4.6. Part 6: Sintering Stress Parameters Definition

The sintering stress parameters are defined (TB,SINT,,,,STRESS) as follows:

  TB,SINT,,,,STRESS
  TBFIELD,RELD,RH0
  TBDATA,1,24,2
  TBFIELD,RELD,1.0
  TBDATA,1,24,2