Article Dans Une Revue Philosophical Magazine Letters Année : 2013

An Euler-Bernoulli second-strain gradient beam theory for cantilever sensors

Résumé

This paper derives an Euler-Bernoulli beam theory for isotropic elastic materials based on a second strain gradient description. As such a description has been proved to allow for the definition of surface tension for solids, the equations satisfied by a beam featuring a through-thickness cohesion modulus gradient are established in order to describe the behavior of micro-cantilever sensors. Closed-form solutions are given for mechanical and chemical loadings. It is then shown that the involved material parameters seem virtually identifiable from full-field measurements and that the shape of the displacement field resulting from a chemical loading depends on the cantilever's thickness as well as on the material parameters. This makes such a theory potentially able to explain some of the experimental results found in the literature.

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hal-02300190 , version 1 (29-09-2019)

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  • HAL Id : hal-02300190 , version 1

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Fabien Amiot. An Euler-Bernoulli second-strain gradient beam theory for cantilever sensors. Philosophical Magazine Letters, 2013, 93 (4), pp.204 - 212. ⟨hal-02300190⟩
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