Abstract:
The use of nanotechnologies has led to a significant development of nanomechanics for
investigation of the mechanical behavior of various types of nanostructures and nanosystems,
such as nanorods, nanowires, nanotubes, nanoribbons, nanoshells etc. Typical applications
of nanomechanics include nanoelectromechanical systems (NEMS) and microelectromechanical
systems (MEMS).
In this paper, which is dedicated to the memory of G.N. Kuvyrkin, the influence of the
effect of spatial nonlocality on strain and stress distributions is investigated by considering
the problem of deformation of a vertical cylindrical column in a gravitational field. Analytical
dependences are obtained taking into account different kinematic and force boundary conditions
on the upper base of the column. For the linear stress distribution over the height of the column,
a considerable nonlinearity of its strained state is established and the emergence of the edge effect
is revealed. This edge effect arises due to the fact that the material of the column exhibits the
property of spatial nonlocality. It is noted that the largest stresses (in absolute value) decrease
in the column compared to the case where the material of the column does not exhibit the
property of spatial nonlocality.
Keywords:nonlocal elasticity theory, analytical solution, edge effect, stress-strain state
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