On the effective properties of elastic materials and structures at the micro- and nano-scale considering various models of surface elasticity

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Abstract

We discuss influence of surface properties on effective (apparent) properties of materials and structures such as Young’s modulus of a porous rod or bending stiffness of a nanosized plate. We consider various models of surface elasticity by Gurtin-Murdoch, Steigman-Ogden, and its generalizations. Difference between models is discussed, and formulas for some effective properties are given.

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Eremeyev, V. A. (2016). On the effective properties of elastic materials and structures at the micro- and nano-scale considering various models of surface elasticity. In Springer Tracts in Mechanical Engineering (Vol. 18, pp. 29–41). Springer International Publishing. https://doi.org/10.1007/978-3-319-21494-8_3

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