Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis

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The effects of surface tension on the elastic properties of nano structures (2010, unknown): “which is related to the first surface Piola-Kirchhoff stress tensors Ss and surface Cauchy stress rs through the following relations: Ss 1⁄4 Fs Ts; rs 1⁄4 1 J2 Fs Ts Fs : In the case of small deformations, J1 and J2 can be approximately expressed by J1 1⁄4 2þ trEs; J2 1⁄4 1þ trEs þ detEs: ð35Þ Corre”
Surface stress effects on the resonant properties of metal nanowires: The importance of finite deformation kinematics and the impact of the residual surface stress (2008, background): “However, Huang and Wang [68] have recently demonstrated that if nonlinear, finite deformation kinematics are considered, that the residual surface stress does in fact change the effective elastic properties of the nanostructure.”