|Self-instability and bending behaviors of nano plates|
|Wang ZQ(王志乔); Zhao YP(赵亚溥)
|发表期刊||Acta Mechanica Solida Sinica
|摘要||This paper aims at investigating the size-dependent self-buckling and bending behaviors
of nano plates through incorporating surface elasticity into the elasticity with residual
stress fields. In the absence of external loading, positive surface tension induces a compressive
residual stress field in the bulk of the nano plate and there may be self-equilibrium states corresponding
to the plate self-buckling. The self-instability of nano plates is investigated and the
critical self-instability size of simply supported rectangular nano plates is determined. In addition,
the residual stress field in the bulk of the nano plate is usually neglected in the existing literatures,
where the elastic response of the bulk is often described by the classical Hooke’s law. The
present paper considered the effect of the residual stress in the bulk induced by surface tension
and adopted the elasticity with residual stress fields to study the bending behaviors of nano plates
without buckling. The present results show that the surface effects only modify the coefficients
in corresponding equations of the classical Kirchhoff plate theory.|
; SCALE THICKNESS
; ELASTIC FILMS
|WOS类目||Materials Science, Multidisciplinary
Wang ZQ,Zhao YP. Self-instability and bending behaviors of nano plates[J]. Acta Mechanica Solida Sinica,2009,22(6):630-643.
王志乔,&赵亚溥.(2009).Self-instability and bending behaviors of nano plates.Acta Mechanica Solida Sinica,22(6),630-643.
王志乔,et al."Self-instability and bending behaviors of nano plates".Acta Mechanica Solida Sinica 22.6(2009):630-643.