Toughness and strength are distinct concepts in materials engineering. Toughness refers to the total energy a material can absorb before failure, represented by the area under the stress-strain curve. Strength, on the other hand, is a specific measure of applied stress, with key values including Yield Strength, Breaking Strength, and Ultimate Tensile Strength. Yield Strength indicates the stress at which plastic deformation begins, while Breaking Strength is the stress at failure. Understanding these differences is crucial for evaluating material performance in engineering applications.