SNAP-THROUGH AND BIFURCATION OF NANO-ARCHES ON ELASTIC FOUNDATION BY THE STRAIN GRADIENT AND NONLOCAL THEORIES
作者： FAREED KAVIANI , HAMID REZA MIRDAMADI
DOI: 10.1142/S0219455413500223
关键词:
摘要: This paper presents the snap-through and bifurcation elastic stability analysis of nano-arch type structures with Winkler foundation under transverse loadings by strain gradient stress (nonlocal) theories. The equations equilibrium are derived using variational method virtual displacement theorem minimum total potential energy. In analysis, von Karman's nonlinear component is included, deformation represented a series solution. It concluded that in general, theory pushes system away from instability as compared to classical theory. However, nonlocal does reverse causes experience earlier than Moreover, theories different small-size considerations change mechanism ways. For example, similar conditions, reach point, while stop at critical point.
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