Strength and Toughness

Work must be done to break the bond between two atoms. To separate a sample completely in two the work required is just this work multiplied by the number of bonds broken. The energy per unit area is known as the fracture energy.

Fracture Energy = Energy required to separate surfaces / Area   J / m2

Materials with a large fracture energy are usually tough, like copper or steel.

Materials with a small fracture energy are usually brittle, like ceramics or glass.

Glass can fail explosively when it cracks. It can shatter into many pieces which go flying in all directions. This is because glass has quite a high breaking stress so before it breaks it stores a lot of strain energy. When it does fracture only a small amount of this energy is needed to actually fracture it so the rest transfers into kinetic energy.

Tough materials do not shatter like this because any stored energy is used up in breaking bonds.