Modulus of Toughness | How it is calculated
- APSEd
- Jun 2, 2021
- 1 min read
Toughness is the property due to which the material can withstand impact loading without fracture. Modulus of toughness quantifies this toughness.

Let us understand what toughness means in common usage; When we say someone is tough, it means that they are strong enough to withstand rough conditions. The same applies to materials also.
Toughness is the property due to which the material can withstand impact loading without fracture (At fracture, it breaks!). If the material can take more strain without undergoing fracture then it will be the tougher material.
Modulus of Toughness
Modulus of toughness quantifies this toughness. It is the area under the stress-strain curve up to the fracture point. It can also be defined as the strain energy stored per unit volume of the material up to fracture.
Ductile material can take more strain up to the fracture point than the brittle material
Mild steel is tougher than cast iron because of this reason
Now, try to attempt this simple question on toughness.
Do watch this video for getting more clarity on toughness.
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The modulus of toughness is a measure of the amount of energy per unit volume that a material can absorb before rupturing. In simpler terms, it indicates how much a material can deform and absorb energy before it breaks, combining both strength and ductility in one value.
How is it Calculated?
Modulus of toughness is calculated as the area under the stress-strain curve up to the point of fracture. This includes both the elastic and plastic regions of the curve. Mathematically, it doesn’t have a fixed formula since it depends on experimental data from tensile testing, but it can be estimated by integrating the stress-strain curve:
In real-world applications, understanding material toughness is essential in industries like aerospace, automotive, and construction. Similarly,…
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