What is Relation between Hardness,Ductility,Malleability&Brittleness...

HARDNESS:
 Hardness is a measure of the material’s resistance to localized plastic deformation (e.g. dent or scratch).
DUCTILITY:
 Ductility measures the amount of plastic deformation that a material goes through by the time it breaks.
Ductility is said to be the property of a material to stretch without getting damaged. Metals having ductile property can be stretched into wires. An example is copper wire.
MALLEABILITY: 
Malleability is said to be the property of a material to deform under compression. The metals having malleable property can be rolled or beaten into sheets. An example is aluminium foil.In more simple words, ductility means stretching to wires and malleability means beating to sheets.
Ductility means that a metal can be changed to another form by pulling, compression or twisting.On the other hand,Malleability means that a metal can be changed into another form by beating or hitting it hard.
Ductility also refers to the ability of a metal to change its form under tensile stress. Malleability refers to the ability of a metal to change its form under compressive stress.

A metal’s ductility is measured by looking at its tensile strength. The tensile strength inspects how far a metal could stretch without breaking. A metal’s malleability is measured by looking at how much pressure it can withstand without breaking.The bend test is the commonly used test for determining the ductility of a metal.Gold and silver are the top ranking ductile and malleable metals.
The two properties of Malleability and ductility do not always correlate in metals. For example, gold is both malleable and ductile and lead is only malleable.
BRITTLENESS:
A material is Brittle if, when subjected to stress, it breaks without significant deformation (strain). Brittle materials absorb relatively little energy prior to fracture, even those of high strength. Breaking is often accompanied by a snapping sound.
TWO MEASURES OF DUCTILITY:
1) Percent Elongation (%El )
2) Percent Reduction In Area
• Highly ductile metals can exhibit significant strain before fracturing, whereas brittle materials frequently display very little strain.
• An overly simplistic way of viewing ductility is the degree to which a material is “forgiving” of local deformation without the occurrence of fracture.
Brittle materials: %EL £ 5% at fracture
Ductile materials: %EL and %RA both ³ 25%.