Response characterisation of nanostructures subjected to uncertain loading and material conditions by convex modelling.
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Date
2014
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Abstract
Nanostructures are fast becoming the material of choice consequentially opening a
new research frontier. Classical continuum computational techniques have proven insu
cient in modelling the mechanical behaviour of these structures. The surface and
nonlocal e ects contributes to the size dependence of nanomaterial mechanical properties.
Convex modelling techniques are employed in dealing with uncertainties associated
with the lack of accurate measurements of nanostructures, molecular defects,
and manufacturing anomalies. Numerical results are produced relating the level of
uncertainty to maximum de
ection for the nonlocal nanobeam, as well as determining
the lowest buckling load subject to the e ects of material uncertainty for nanoplates.
Description
M. Sc. University of KwaZulu-Natal, Durban 2014.
Keywords
Nanostructures., Nanotechnology., Convex sets., Theses--Mechanical engineering.