Toughness Explained:
Toughness is a critical material property in engineering, particularly in fields such as aerospace engineering, where materials are often subjected to various forms of stress. It is defined as the ability of a material to absorb energy and plastically deform without fracturing.
The toughness of a material is represented by the area under the stress-strain curve from zero stress up to the point of fracture. This encompasses all the energy a material can absorb before it ultimately breaks. Therefore, toughness is best described by the option 'till ultimate failure'. This indicates that the material can sustain deformation and absorb energy until it reaches its breaking point, rather than merely yielding or remaining within any elastic or proportional limits.
| Stage of Material | Explanation |
|---|---|
| Within the Elastic Limit | The material returns to its original shape after the removal of stress. |
| Up to the Proportionality Limit | Stress and strain are directly proportional; material behaves elastically. |
| Before Yielding | Material undergoes plastic deformation for the first time but can absorb some energy. |
| If Taken Till Ultimate Failure | This is true toughness, where maximum energy absorption occurs before fracture. |
In conclusion, the correct understanding of toughness in materials science and aerospace engineering is its ability to absorb energy till ultimate failure.
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is:
Which of the following statements are correct?
A. Malleability is the ability of a material to absorb strain energy till the elastic limit.
B. Toughness is the ability of a material to absorb energy till the rupture.
C. Resilience is the area under the load deformation curve within the elastic limit.
D. Stress-strain diagram of highly brittle material has no plastic zone.
Choose the most appropriate answer from the options given below: