| Autor: |
Sandipan Paul, Alan D. Freed, John D. Clayton |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Applications in Engineering Science, Vol 5, Iss , Pp 100029- (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2666-4968 |
| DOI: |
10.1016/j.apples.2020.100029 |
| Popis: |
Eulerian and Lagrangian measures for Laplace stretch are established, along with a strategy to ensure that these measures are indifferent to observer. At issue is a need to accommodate two invariant properties that arise as a byproduct of the Gram–Schmidt factorization procedure, which is used in the construction of these stretch tensors. Specifically, a Gram–Schmidt factorization of the deformation gradient implies that the 1 coordinate direction and the normal to the 12 coordinate plane remain invariant under transformations of Laplace stretch. The strategy proposed, which addresses these mathematical consequences, is that the selected 1 coordinate direction has minimal transverse shear, and that its adjoining 12 coordinate plane has minimal in-plane shear. From this foundation, a framework is built for the construction of constitutive equations that can use either the Eulerian or Lagrangian Laplace stretch as its primary kinematic variable. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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