Final answer:
The area under the stress-strain curve signifies the elastic modulus and resilience of a material.
Step-by-step explanation:
The area under the curve of the stress-strain relationship signifies two important properties of a material: its elastic modulus and its resilience.
The elastic modulus, also known as Young's modulus, is a measure of the material's stiffness. It describes how much the material deforms under a given stress.
The resilience of a material is its ability to absorb and store energy when it is deformed elastically. It is represented by the area under the linear portion of the stress-strain curve.