Material Strength, Toughness and Brittleness

1. Strength of a material

Strength is a measure of the stress a material can withsand.

Two different values are typically used to define the strength of a material, the ultimate strength and yield strength.

2.Material Stress and Straina

First, we need to explain some of the physical concepts behind the mechanical properties. The main one is stress. Stress tells you how big of a force applies to an area. In mechanical engineering, it is mostly expressed in MPa’s or N/mm2. Those two are interchangeable. The formula for stress is:

σ=F/A, where F is force (N) and A is area (mm2).

The second important concept is strain. Strain has no unit as it is a ratio of lengths. It is calculated as follows:

ε=(l-l0)/l0, where l0 is starting or initial length (mm) and l is stretched length (mm).

A.Young’s Modulus

From those two concepts we get to our first mechanical properties – stiffness and elasticity as its opposite. It is an important factor for engineers when solving physics problems (material suitability for a certain application).

Stiffness is expressed as Young’s modulus, also known as modulus of elasticity. As one of the primary mechanical properties of materials, it defines the relationship between stress and strain – the bigger its value, the stiffer the material.

This means that the same load would deform two equally-sized parts differently, if they have varying Young’s moduli. At the same time, lesser value means that the material is more elastic.

B.Yield Strength

Yield stress or yield strength is the value most often used in engineering calculations. It gives a material a stress value in MPa it can take before plastic deformation. This place is called the yield point. Before it, a material regains its former shape when lifting the load. After exceeding the yield point, the deformation is permanent.

There is a good reason for using yield stress as the most important factor in mechanical engineering. As can be seen from the stress-strain curve, when stress goes beyond the yield point, the damage is not yet catastrophic. That leaves a “cushion” before a construction fails completely to the point of breaking.

C.Tensile Strength

Ultimate tensile strength, or just tensile strength, is the next step from yield strength. Also measured in MPa’s, this value indicates the maximum stress a material can withstand before fracturing.

3,Toughness of material

Toughness is the ability of a material to absorb energy up to fracture. Materials that can absorb a lot of energy before fracturing have high toughness.

Toughness can be thought of as the area under the stress-strain curve. If the area is large, the material will have high toughness and will be able to absorb a large amount of energy before fracturing.

For a material to have high toughness it should have a good balance of both high strength and high ductility. Low strength and brittle materials tend to have low toughness.

4,Brittleness and Ductility of material

Ductility is a measure of the ability of a material to deform plastically before fracturing.

A material is ductile if it undergoes a large amount of plastic deformation before it breaks. These materials fracture at very large strains. Examples of ductile materials include mild steel, aluminium, and gold.

A material is brittle if it fractures at low strains with little or no plastic deformation. Examples of brittle materials include glass and ceramics.

The differences between ductile and brittle materials can be seen in the stress-strain curves shown below.

Ductile and brittle materials have very different stress-strain curves, with brittle materials exhibiting little or no plastic deformation before fracturing. Because they don’t deform plastically, the concept of yield strength is irrelevant for brittle materials.

Typically a material that has a strain at fracture of less than 5% is considered to be brittle.

We hope that after reading this blog, you will have a brief understanding about material’s strength, toughness and brittleness(ductility). If you have further question please contact Protosoon for more information.