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.
On the effective properties of elastic materials and structures at the micro- and nano-scale considering various models of surface elasticity
Eremeyev V. A.
2016-01-01
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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