The general term used to describe this device is a frame. Frames come in a wide variety of shapes, sizes, and materials. Today, most of the eyeglass frames sold are made from metal. This could be aluminum, titanium, nickel, or steel.
Frames also come in a variety of plastic materials.
The current trend is minimalistic when it comes to size. For shape, the trend is toward geometric shapes. Eyeglass frames are classified either by gender or function. The three main classifications are Womens, Mens and Unisex. The first two are obvious.