Question
Two answers required. Descriptions of deformation named for these two scientists differ on whether or not deformation is measured relative to a fixed configuration or a continually updating configuration. For 10 points each:
[10m] Identify these two scientists who name analogous descriptions in fluid mechanics that are related to each other by the material derivative.
ANSWER: Leonhard Euler (“LEE-uh-nard OY-lur”) AND Joseph-Louis Lagrange (“zhoh-zeff loo-EE luh-GRAHNJ”) [accept answers in either order; accept Giuseppe Luigi Lagrangia in place of “Joseph-Louis Lagrange”]
[10h] This tensor describes how line elements are deformed from the reference configuration to the current configuration. This tensor is defined as the partial with respect to the reference position of a body’s motion under deformation.
ANSWER: deformation gradient tensor [prompt on gradient tensor or F]
[10e] A deformation has this property when the deformation gradient tensor is independent of the reference position. Objects with this property have the same composition everywhere.
ANSWER: homogeneous [or homogeneity; accept spatially homogeneous or spatial homogeneity]
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total |
|---|---|---|---|---|---|
| Chicago A | Harvard A | 0 | 0 | 0 | 0 |
| Purdue A | Indiana A | 0 | 0 | 0 | 0 |
| Toronto A | WUSTL A | 0 | 0 | 0 | 0 |