TY  - JOUR
AU  - Lazopoulos, K.A.
AU  - Lazopoulos, A.K.
PY  - 2023
TI  - Beam bending and Λ-fractional analysis
JO  - AIMS Materials Science
SN  - 2372-0484
SP  - 604
EP  - 617
VL  - 10
IS  - 4
AB  - 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.
UR  - https://doi.org/10.3934/matersci.2023034
DO  - 10.3934/matersci.2023034