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Stress–strain curve for brittle materials compared to ductile materials. Some common characteristics among the stress–strain curves can be distinguished with various groups of materials and, on this basis, to divide materials into two broad categories; namely, the ductile materials and the brittle materials. [1]: 51
The relation can be plotted to determine the safe cyclic loading of a part; if the coordinate given by the mean stress and the alternating stress lies under the curve given by the relation, then the part will survive. If the coordinate is above the curve, then the part will fail for the given stress parameters. [7]
After the stress distribution within the object has been determined with respect to a coordinate system (,), it may be necessary to calculate the components of the stress tensor at a particular material point with respect to a rotated coordinate system (′, ′), i.e., the stresses acting on a plane with a different orientation passing through ...
English: Stress vs. Strain curve for structural steel. Reference numbers are: 1 - Ultimate strength (nominal) 2 - Yield strength (elastic limit) 3 - Rupture; 4 - Strain hardening region; 5 - Necking region; A: Apparent stress (F/S 0) B: Actual stress (F/S) — Original cross-sectional area
Stress-strain curve for ductile materials with no well defined yield point. UTS=ultimate tensile strength. Yield stress is defined by an offset line, corresponding to a given amount of plastic deformation. Date: 23 August 2007: Source: Own work: Author: Sigmund
Isopachs are curves along which the mean normal stress is constant. Isostatics or stress trajectories [7] are a system of curves which are at each material point tangent to the principal axes of stress - see figure [8] Isoclinics are curves on which the principal axes make a constant angle with a given fixed reference direction. These curves ...
Stress resultants are simplified representations of the stress state in structural elements such as beams, plates, or shells. [1] The geometry of typical structural elements allows the internal stress state to be simplified because of the existence of a "thickness'" direction in which the size of the element is much smaller than in other directions.
This is not true since the actual area will decrease while deforming due to elastic and plastic deformation. The curve based on the original cross-section and gauge length is called the engineering stress–strain curve, while the curve based on the instantaneous cross-section area and length is called the true stress–strain curve. Unless ...