Abstract
The influence of surface stress on the static and dynamic bending nanowires is investigated by incorporating the Young-Laplace equation into Euler-Bernoulli beam theory. The proposed theoretical approach gives explicit solutions for bending nanowires with two different boundary conditions - cantilever, and fixed-fixed. The solutions indicate that the nanowires behave as softer material for the cantilever structure and stiffer material for the fixed-fixed structure as the nanowire diameter decreases for a positive surface stress and a constant length. The surface stress influenced nanowire bending behavior is not only diameter dependent but also length dependent. Based on the proposed approach, nanowire overall Young's modulus is calculated to exhibit the nanowire elastic bending behavior influenced by the surface stress. The theoretical calculations of the overall Young's moduli agree with reported experiment results of Ag nanowires with diameter in the range of 38.7~135 nm and length in the range of 1-2.55 mum.
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