# Ductile vs Brittle behavior

The behavior of materials under loading can be classified as ductile or brittle depending on if the material undergoes gross plastic deformation. The following figure represents the stress-strain curve for ductile and brittle materials.

![](data:image/jpeg;base64,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 align="left")

As we can see that a brittle material almost fails at elastic limit. But brittleness is not an absolute property of a material. For example, tungsten is brittle at room temperature and is ductile at high temperatures. The three factors contributing to brittle fracture are : triaxial state of stress, low temperature and high strain rate. All these factors need not be present for a material to show brittle cleavage. A triaxial stress which is present at notch along with low temperature may lead to brittle fracture. Also high strain rate assists those two factors.

For most of the engineering materials ductility is an important criteria. Thus, little amount of ductility is needed for most of the material. Also a material being ductile has its own advantage. A ductile material before failure undergoes plastic deformation thus indicating that it is going to fail. Whereas a brittle fracture is sudden without any warning. Thus most of the place ductile materials are preferred over brittle materials.

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Usually ductile facture is preceded by gross plastic deformation known as necking which begins from the maximum stress. Necking begins when increase in strength due to strain hardening fails to compensate by the decrease in cross-sectional area. A rupture occurs when a ductile material is drawn down to a line or a point and then fails. The necking introduces a triaxial state of stress in that region. Many cavities are also formed in that region which on continued strain grows into a large crack. This crack grows in a direction perpendicular to the axis of the specimen. It then propagates along 45° i.e. the shear plane. This type of fracture is also known as cup and cone fracture. While the crack growth direction id outwards i.e. transverse to the tensile axis of the specimen, in a microscopic scale the crack actually moves in a zig-zag manner. The preferred sites of void formation are usually in inclusion, secondary phase particles etc. , whereas for pure metal they are grain boundary triple point. Ductility decreases as the void fraction increases, as the strain-hardening exponent n.