From the origin O to the point called proportional limit, the stress-strain curve is a straight line. After reaching the proportional limit, the curve shows less stress until it gets to the ultimate strength, where the stress decreases.
stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.
The engineering stress-strain curve in shear is the same as the true stress-strain curve because, in shear, the definitions of stress and strain do not change significantly with the material's deformation. True stress accounts for the instantaneous area under load, while engineering stress uses the original area; however, in shear, the relationship remains linear up to the yield point, and the area reduction effect is minimal for typical shear tests. Thus, both curves reflect the same material behavior in shear deformation, leading to equivalent representations.
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?
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.
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stress strain curve details
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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.
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.
The stress-strain curve of a rubber band shows how the stress (force applied) and strain (deformation) are related. Initially, as stress increases, strain also increases proportionally. This is the elastic region where the rubber band returns to its original shape when the stress is removed. However, beyond a certain point, the rubber band reaches its limit and starts to deform permanently, known as the plastic region. The relationship between stress and strain on the curve helps us understand the material's behavior under different conditions.
becuase its suppose to
The engineering stress-strain curve in shear is the same as the true stress-strain curve because, in shear, the definitions of stress and strain do not change significantly with the material's deformation. True stress accounts for the instantaneous area under load, while engineering stress uses the original area; however, in shear, the relationship remains linear up to the yield point, and the area reduction effect is minimal for typical shear tests. Thus, both curves reflect the same material behavior in shear deformation, leading to equivalent representations.
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