A new elastic theory for nanomaterials and its application

Abstract eng:
Within the framework of continuum mechanics, a new theory for nanomaterials based on surface-energy density is proposed to predict size effect (surface effect) of nanomaterials. In contrast to previous theories, the linearly elastic constitutive relationship that is usually adopted to describe the surface layer of nanomaterials is not invoked. The surface elastic constants, which is difficult to determine experimentally, are no longer needed in the new theory. Instead, a surface-induced traction to characterize the surface effect in nanomaterials is derived. Only the surface-energy density of bulk materials and the surface-relaxation parameter are needed in the new theory. It is further used to characterize the elastic property of several kinds of nanomaterials or nanostructures, the theoretical predictions agree very well with existing numerical or experimental ones.

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