TABLE 1. Mathematical relationships in homothetic and a quasi-homothetic transformation.
|
Mathematical Relationship |
||
|
Homothetic transformation |
Lineal entities |
|
|
Surface entities |
|
|
|
Quasi-homothetic transformation |
Lineal entities |
|
|
Surface entities |
|
for i=1 to 3
with i 
j
TABLE 2. Equations of forces in a scaled model B with reference to model A. AA is the area of the reference model, AB the area of the scaled model, tA is the thickness of the reference model and tB the thickness of the scaled model.
|
Stress state constant |
Displacements constants |
|
|
Plane Stress |
|
|
|
Plane Strain |
|
|
TABLE 3. Thickness and surface of the four scaled models of Connochaetes taurinus used in Case 1.
|
Scaled model |
Thickness |
Area |
|
1 (Reference) |
1,00 |
20291,00 |
|
2 |
10,00 |
5072,75 |
|
3 |
6,00 |
20291,00 |
|
4 |
24,50 |
1371,67 |
TABLE 4. Thickness and a of C. taurinus, A. buselaphus, H. niger and K. vardoni used in Case 2.
|
Model |
Thickness |
Area |
|
C. taurinus (Reference) |
20,88 |
20282,00 |
|
A. buselaphus |
16,97 |
17897,00 |
|
H. niger |
19,67 |
20742,00 |
|
K. vardoni |
14,22 |
10617,00 |
