On Grioli’s minimum property and its relation to Cauchy’s polar decomposition. (English) Zbl 1423.74041
Summary: In this paper we rediscover Grioli’s important work on the optimality of the orthogonal factor in the polar decomposition in an euclidean distance framework. We also draw attention to recently obtained generalizations of this optimality property in a geodesic distance framework.
MSC:
| 74A35 | Polar materials |
| 74B05 | Classical linear elasticity |
| 15A23 | Factorization of matrices |
| 74-03 | History of mechanics of deformable solids |
| 01A60 | History of mathematics in the 20th century |
Keywords:
polar decomposition; optimality of the polar factor; Euclidean distance; geodesic distance; Euclidean movementSoftware:
mftoolboxReferences:
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