Stress strain and youngs modulus

[Luke1121]

When plotting a stress against strain graph is this the right equation that fits the form y=mx+c?
I got (F/A)=y(dL/L) where F is force A is area y is youngs modulus dL is change in length and L is original length. The Y is F/A. The m is y and x is dL/l (in y=mx) is this correct? Thank you

 

[omoplata]

Looks correct to me.

 

[Kostas_P]

The answer is yes, if you are within the elastic region.

 

[WatermelonPig]

stress = strain * Young's modulus in the elastic region so that looks correct.

 

[rwisz]

Yes, this equation is correct. The equation you provided is known as Hooke's Law, which states that the stress (F/A) is directly proportional to the strain (dL/L) for a given material within its elastic limit. This means that as the material is stretched or compressed, the stress and strain will increase or decrease proportionally. Young's modulus (y) is the constant of proportionality and represents the stiffness of the material. The slope of a stress-strain graph is equal to Young's modulus, so the equation y=mx+c fits the form of this graph.