Q: Details about stress strain curve

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when the material fails

stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.

By using stress-strain curve.

becuase its suppose to

An infinite amount... for any given Strain, there is a corresponding Stress value. To see what I mean, plot a Stress Strain graph in excel using 10 sets of values, then do another using 20... the one with 20 has a smoother curve, see where I'm coming from?

see the following questionWhat_the_difference_between_true_strain_and_engineering_strain

This question probably is referring to a 2% secant modulus, which can be the tensile, flexural or compressive modulus (slope of a stress/strain curve) of a material that is determined from calculating the slope of a line drawn from the origin to 2% strain on a stress/Strain curve.

When the stress-strain curve of a material fails to produce a clear yield strength.

a stress strain curve and a load displacement curve is pretty much the same thing, given the data is from the same specimen. its just the stress (force/area) is divided by a constant area and the strain (change in length/original length) is divided by a constant original length. therefore your curve would pretty much look the same as dividing by a constant will not change your graph. hope this explains your question

becuase its suppose to

Brittle materials such as ceramics do not have a yield point. For these materials the rupture strength and the ultimate strength are the same, therefore the stress-strain curve would consist of only the elastic region, followed by a failure of the material.

The elastic strain energy per unit volume, also known as the strain energy density, can be derived by integrating the stress-strain curve over the strain range. The area under the stress-strain curve represents the work done on the material, which is equivalent to the strain energy stored. By dividing this strain energy by the volume of the material, the strain energy density per unit volume can be obtained.