True or false and why If material 1 has a larger toughness t

True or false and why:

If material 1 has a larger toughness than material 2, then Material 1 is more ductile than material 2.

If material 1 has a larger toughness than material 2, then Material 1 has a larger ductility than material 2.

Solution

Toughness is the ability of a material to absorb energy and plastically deform without fracturing whereas ductility is the ability of a material to deform under tensile stress. Thus we can say toughness is measured through strength and ductility. Therefore, if ductility is more for a material then its toughness is also high and the given statement is true.