| Autor: |
K.A. Lazopoulos, A.K. Lazopoulos |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
AIMS Materials Science, Vol 10, Iss 4, Pp 604-617 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2372-0484 |
| DOI: |
10.3934/matersci.2023034?viewType=HTML |
| Popis: |
Since the global stability criteria for Λ-fractional mechanics have been established, the Λ-fractional beam bending problem is discussed within that context. The co-existence of the phase phenomenon is revealed, allowing for elastic curves with non-smooth curvatures. The variational bending problem in the Λ-fractional space is considered. Global minimization of the total energy function of beam bending is necessarily applied. The variational Euler-Lagrange equation yields an equilibrium equation of the elastic curve, with the simultaneous possible corners being expressed by Weierstrass-Erdmann corner conditions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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