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<p>Elastic property of nanobeams is influenced by surface elasticity effect. In this work, we proposed a continuum theory to describe the size dependent elastic property of nanobeams with rectangular cross section. The influence of surface Young’s modulus (surface elasticity) decreases with increasing the distance from surface. The decrease law was assumed to be exponential. Core-surface and core–shell models assumed an imaginary interface between surface area and bulk like inner area. The present theoretical model eliminated the interface between surface area and bulk like inner area. When surface Young’s modulus is given, the larger decrease factor weakens surface effect obviously. If the surface elasticity is given, the larger decrease factor enhances surface effect. When the influence of surface elasticity decreases rapidly, i.e. decrease factor <i>α</i> → ∞, the influence of surface Young’s modulus (surface elasticity) only works at surface as core-surface model addressed.</p>

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Surface effect on the elastic property of rectangular nanobeams

  • 期刊论文

  • 发表日期：

    2025年6月6日

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  • Jiangang Li,
  • Lishuai Song,
  • Xiao Lei,
  • Haiyan Yao,
  • Zhixiang Gao

摘要

Elastic property of nanobeams is influenced by surface elasticity effect. In this work, we proposed a continuum theory to describe the size dependent elastic property of nanobeams with rectangular cross section. The influence of surface Young’s modulus (surface elasticity) decreases with increasing the distance from surface. The decrease law was assumed to be exponential. Core-surface and core–shell models assumed an imaginary interface between surface area and bulk like inner area. The present theoretical model eliminated the interface between surface area and bulk like inner area. When surface Young’s modulus is given, the larger decrease factor weakens surface effect obviously. If the surface elasticity is given, the larger decrease factor enhances surface effect. When the influence of surface elasticity decreases rapidly, i.e. decrease factor α → ∞, the influence of surface Young’s modulus (surface elasticity) only works at surface as core-surface model addressed.