Table 2 Inputs for the determination of the unknown parameters \({E}_{L}\) and \({E}_{T}\) based on measurements with AFM-NI and NI and literature data obtained from the same type of pulp.

From: The transverse and longitudinal elastic constants of pulp fibers in paper sheets

Material property

 

Conditions

Source

\({{\varvec{M}}}_{{\varvec{L}}}\)

 

45% relative humidity, 25 °C

This study

AFM-NI hemisphere

Mean: 8.57 GPa

  

Median: 3.67 GPa

  

AFM-NI pyramid

Mean: 7.06 GPa

  

Median: 4.19 GPa

  

NI

Mean: 5.75 GPa

  

Median: 6.15 GPa

  

\({{\varvec{M}}}_{{\varvec{T}}}\)

 

45% relative humidity, 25 °C

This study

AFM-NI hemisphere

Mean: 1.57 GPa

  

Median: 1.54 GPa

  

\({\nu }_{TL}\)

0.25

 

Assumed

\({\nu }_{TT}\)

0.25

50% relative humidity, 23 °C

26

\({G}_{TL}\)

2.51 GPa

50% relative humidity, 23 °C

27

\(MFA \,\, \theta\)

0

 

Assumed