On the optimal form of nano-rods

On the optimal form of nano-rods

The Euler–Bernoulli model of elastic nano-rods is considered in the framework of nonlocal elasticity. Existence and uniqueness theorems are proved, the structure of the optimal form under an axial charge is studied. A method of numerical solution is indicated.

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Veröffentlicht in:Russian journal of mathematical physics 2017-10, Vol.24 (4), p.436-453
1. Verfasser: Egorov, Yu. V.
Format: Artikel
Sprache:eng
Schlagworte:
Existence theorems
Mathematical and Computational Physics
Mathematical models
Nanorods
Nonlocal elasticity
Physics
Physics and Astronomy
Theoretical
Uniqueness theorems
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Beschreibung
Zusammenfassung:The Euler–Bernoulli model of elastic nano-rods is considered in the framework of nonlocal elasticity. Existence and uniqueness theorems are proved, the structure of the optimal form under an axial charge is studied. A method of numerical solution is indicated.
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920817040033