ABSTRACT

Open Spheroidal Shells

After spherical geometry, spheroidal geometry provides the simplest setting

for three-dimensional potential theory. This chapter considers the potential

surrounding various open spheroidal shell structures. It presents a signif-

icant extension and generalisation of the spherical shell studies because

various combinations of cavity size and aspect ratio of the shell produce

extremely interesting structures for physical and engineering applications;

the hollow cylinder is one example.