Geodesic
Determining Young's and shear moduli of a rod-shaped object in an AFM bending test
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 1, pp. 122-129.

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The technique of AFM bending test of a suspended nanoobject has been improved. An analytical method has been created for calculating Young’s and shear moduli of object’s material based on data of such tests. In Timoshenko approximation, we consider problems of bending a beam one or both ends of which lie on elastic Winkler foundations. The obtained solutions are used to eliminate uncertainties in the calculation of elastic moduli that arise when the conditions of fixing an object (console or bridge) on the edges of a recess in the substrate are unknown.
Keywords: atomic force microscopy, bending, nanoscroll, elastic moduli, elastic Winkler foundation. 
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     author = {Alexander V. Ankudinov and Mikhail S. Dunaevskiy and Andrei A. Krasilin and Maksim M. Khalisov and Ekaterina K. Khrapova},
     title = {Determining {Young's} and shear moduli of a rod-shaped object in an {AFM} bending test},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     publisher = {mathdoc},
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_1_a13/}
}
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Alexander V. Ankudinov; Mikhail S. Dunaevskiy; Andrei A. Krasilin; Maksim M. Khalisov; Ekaterina K. Khrapova. Determining Young's and shear moduli of a rod-shaped object in an AFM bending test. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 1, pp. 122-129. http://geodesic.mathdoc.fr/item/NANO_2024_15_1_a13/