6 Constitutive relationships
Lets think again about the stress potato:
“Stress potato”
- At any point in the body, how many unknowns are there?
| Unknown | Quantity |
|---|---|
| Displacements | 3 |
| Stresses | 9 (6 unique) |
| Strains | 6 |
| Total | 18 (15 unique) |
- We need 18 (15 unique) equations to solve for the 18 (15 unique) unknowns at each point in the body (ie field equations for the continuous body).