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- W3100557951 abstract "Nonlocal strain gradient continuum mechanics is a methodology widely employed in literature to assess size effects in nanostructures. Notwithstanding this, improper higher-order boundary conditions (HOBC) are prescribed to close the corresponding elastostatic problems. In the present study, it is proven that HOBC have to be replaced with univocally determined boundary conditions of constitutive type, established by a consistent variational formulation. The treatment, developed in the framework of torsion of elastic beams, provides an effective approach to evaluate scale phenomena in smaller and smaller devices of engineering interest. Both elastostatic torsional responses and torsional free vibrations of nano-beams are investigated by applying a simple analytical method. It is also underlined that the nonlocal strain gradient model, if equipped with the inappropriate HOBC, can lead to torsional structural responses which unacceptably do not exhibit nonlocality. The presented variational strategy is instead able to characterize significantly peculiar softening and stiffening behaviours of structures involved in modern Nano-Electro-Mechanical-Systems (NEMS)." @default.
- W3100557951 created "2020-11-23" @default.
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- W3100557951 date "2019-11-19" @default.
- W3100557951 modified "2023-10-07" @default.
- W3100557951 title "Nonlocal strain gradient torsion of elastic beams: variational formulation and constitutive boundary conditions" @default.
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- W3100557951 doi "https://doi.org/10.1007/s00419-019-01634-w" @default.
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