The materials which elongates more than 5% before fracture is called ductile material otherwise brittle materials. Gold, silver, copper are typical example ductile materials and cast iron, concrete are brittle materials.
In failure theories yield strength is used for ductile materials where as ultimate strength is used for brittle materials.
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when do we say a material is brittle?
In a crude way you can say a material brittle if a plate of it brakes without bending.
rubber is ductile or brittle