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Strona 2_redak - Instytut Agrofizyki im. Bohdana Dobrzańskiego ...

Strona 2_redak - Instytut Agrofizyki im. Bohdana Dobrzańskiego ...

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45<br />

The modulus of compressibility E i was determined on the basis of the resultant<br />

material strain, sum of reversible (elastic) and irreversible (plastic) strain [174]:<br />

1<br />

E<br />

=<br />

1<br />

K<br />

+<br />

1<br />

i<br />

H o<br />

.<br />

(6.4)<br />

Examples of exper<strong>im</strong>ental values for wheat grain are presented in Table 6.1 [174].<br />

Table 6.1. Modulus of compressibility, elasticity and plasticity of wheat grain [174]<br />

Minor principal<br />

stress<br />

(kPa)<br />

Modulus<br />

of compressibility<br />

E i (MPa)<br />

Modulus<br />

of elasticity<br />

K (MPa)<br />

Modulus<br />

of plasticity<br />

H o (MPa)<br />

20.7<br />

34.5<br />

48.3<br />

62.1<br />

3.3<br />

4.5<br />

6.4<br />

7.9<br />

8.8<br />

11.1<br />

13.6<br />

16.2<br />

5.3<br />

7.7<br />

12.1<br />

15.3<br />

Volumetric elasticity of granular material is closely related to the elasticity of<br />

individual grains. Modulus of elasticity of seeds of individual plant species varies<br />

within a broad range. In the case of wheat, Young modulus determined for cylindrical<br />

samples cored from the grain endosperm falls within the range of 0.2-3 GPa depending<br />

on the cultivar [55] (figure 6.2). With increasing grain moisture, Young modulus<br />

decrease to stabilize at moisture levels above 22% [41]. Modulus of elasticity depends<br />

on the protein content and on the type of endosperm [84]. For vitreous grains,<br />

the values of the modulus are about 30% higher than for mealy grains [58, 171].<br />

Fig. 6.2. Young modulus of wheat endosperm as influenced by moisture content [55]

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