A distinction is often made between the "nominal" stress σ
("engineer voltage") and the "true" voltage σ
.
The (nominal) stress values (tensile strength, yield strength) read from the stress-strain diagram do not correspond to the true stress in the material. This is due to the fact that when calculating the nominal stress, the tensile force is related to the initial cross-section.
In the tensile specimen, however, the true cross-section is smaller than the initial cross-section due to transverse contraction or necking; this deformation (elongation and necking) is visible and measurable after the test in the case of elastic-plastic deformation, i.e. specimens made of ductile materials. The true tensile strength is therefore not equal to the nominal stress in the specimen at the moment of fracture, but is higher.
However, since real loads are mostly applied forces that have an absolute magnitude and are not cross-sectional area related, the nominal tensile strength is usually the governing factor when dimensioning components.
For dimensioning in engineering, the yield strength is used instead. The tensile strength plays a role, for example, in manufacturing during forming or machining. Brittle materials, on the other hand, are dimensioned according to tensile strength, but with these materials there is also no relevant necking and therefore no difference between nominal and true stress. In short: technically, a component has long since failed when the tensile strength is reached, with or without necking.
The maximum true stress occurs in the necking area of the specimen. Here, the deformation and, at best, the strain hardening increases until fracture occurs.
In the instrumented tensile test, the specimen cross-section is measured continuously and the force is related to the true cross-section. Specimens examined in this way show a continuous increase in true stress until failure (blue curve in Fig.). However, the value determined in this way is only of theoretical significance.