Table 1 Moduli of elasticity E, Poisson’s ratios υ, and shear moduli G for wood, gesso, and paints used in the modelling
From: Development of craquelure patterns in paintings on panels
Material | Property | Value or formula | Units | Source | |
|---|---|---|---|---|---|
Poplar | Lime | ||||
Wood | Eφ | 356–1.79RH | 872–18.16RH + 0.2RH2–0.0014RH3 | Pa | [14] |
Eρ | 1124–4.39RH | 1649–34.83RH + 0.48RH2–0.0023RH3 | Pa | [14] | |
Ez | 1.2 × 1010 | 1.1 × 1010 | Pa | [15] | |
Gφρ | 1.7 × 108 | 2.1 × 108 | Pa | ||
Gzρ | 9.0 × 108 | 6.2 × 108 | Pa | ||
Gzφ | 8.3 × 108 | 5.1 × 108 | Pa | ||
υρφ | 0.70 | 0.91 | – | ||
υzρ | 0.32 | 0.36 | – | ||
υzφ | 0.39 | 0.41 | – | ||
Gesso | Eg | \(6840\left[\frac{0.53}{1+{e}^{\frac{RH-24.44}{16.81}}}+\frac{0.47}{1+{e}^{\frac{RH-71.84}{5.99}}}\right]\) | Pa | [16] | |
υg | 0.2 | – | |||
Oil paint | Epo | 1 × 109–1 × 1010 (varying with the drying shrinkage, Fig. 2) | Pa | [13] | |
υpo | 0.3 | ||||
Tempera paint | Ept | \(24.4\left[\frac{87.39}{1+{e}^{\frac{RH-78.88}{10.22}}}-1\right]\) | Pa | [12] | |
υpt | 0.2 (assumed) | ||||