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Dr Ngamta Thamwattana

Mathematical

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A Survey Of Some Mathematical Results For Highly Frictional Granular Materials, Grant Cox, Ngamta Thamwattana, James Hill Dec 2012

A Survey Of Some Mathematical Results For Highly Frictional Granular Materials, Grant Cox, Ngamta Thamwattana, James Hill

Dr Ngamta Thamwattana

Recently the authors have exploited the notion of a highly frictional granular material to derive analytical solutions for certain problems. Generally, we use the term highly frictional granular material to refer to those materials which possess an angle of internal friction such that the trigonometric sine of the angle of internal friction is close to unity. There are many granular materials for which this is the case, such as black and brown coal and limestone powder. For such materials formal perturbation solutions can be derived for which the zeroth-order solution corresponds to an angle of internal friction precisely equal to …


Mathematical Modelling For A C60 Carbon Nanotube Oscillator, Barry Cox, Ngamta Thamwattana, James Hill Dec 2012

Mathematical Modelling For A C60 Carbon Nanotube Oscillator, Barry Cox, Ngamta Thamwattana, James Hill

Dr Ngamta Thamwattana

The discovery of fullerenes C60 and carbon nanotubes has created an enormous impact on nanotechnology. Because of their unique mechanical and electronic properties, such as low weight, high strength, flexibility and thermal stability, fullerenes C60 and carbon nanotubes are of considerable interest to researchers from many scientific areas. One problem that has attracted much attention is the creation of gigahertz oscillators. While there are difficulties for micromechanical oscillators, or resonators, to reach a frequency in the gigahertz range, it is possible for nanomechanical systems to achieve this. A number of studies have found that the sliding of the inner-shell inside …


Mathematical Modelling In Nanotechnology, Ngamta Thamwattana, James M. Hill Dec 2012

Mathematical Modelling In Nanotechnology, Ngamta Thamwattana, James M. Hill

Dr Ngamta Thamwattana

The interaction of nano particles with conventional materials dramatically changes all the physical parameters, which usually characterize the bulk material. The nano particles constitute highly reactive isolated sites to the extent that it leads to a change in the electronic structure of the nano composite, and accordingly all the physical properties, such as thermal, mechanical and electrical properties become different from those of the bulk material. To successfully exploit nano composites as components and devices, this fundamental shift of physical properties must be properly understood and accurately modelled. While experimentation is crucial, a theoretical understanding is also necessary and with …