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  2. Yield (engineering) - Wikipedia

    en.wikipedia.org/wiki/Yield_(engineering)

    The yield strength or yield stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically. The yield strength is often used to determine the maximum allowable load in a mechanical component, since it represents the upper limit to forces that can be applied without producing ...

  3. Stress–strain curve - Wikipedia

    en.wikipedia.org/wiki/Stress–strain_curve

    The stress of the flat region is defined as the lower yield point (LYP) and results from the formation and propagation of Lüders bands. Explicitly, heterogeneous plastic deformation forms bands at the upper yield strength and these bands carrying with deformation spread along the sample at the lower yield strength.

  4. Work hardening - Wikipedia

    en.wikipedia.org/wiki/Work_hardening

    Yield strength is increased in a cold-worked material. Using lattice strain fields, it can be shown that an environment filled with dislocations will hinder the movement of any one dislocation. Because dislocation motion is hindered, plastic deformation cannot occur at normal stresses .

  5. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    The strength of materials is determined using various methods of calculating the stresses and strains in structural members, such as beams, columns, and shafts. The methods employed to predict the response of a structure under loading and its susceptibility to various failure modes takes into account the properties of the materials such as its yield strength, ultimate strength, Young's modulus ...

  6. von Mises yield criterion - Wikipedia

    en.wikipedia.org/wiki/Von_Mises_yield_criterion

    As shown later in this article, at the onset of yielding, the magnitude of the shear yield stress in pure shear is √3 times lower than the tensile yield stress in the case of simple tension. Thus, we have: = where is tensile yield strength of the material. If we set the von Mises stress equal to the yield strength and combine the above ...

  7. Structural material - Wikipedia

    en.wikipedia.org/wiki/Structural_material

    Steel is a ductile material, which will behave elastically until it reaches yield (point 2 on the stress–strain curve), when it becomes plastic and will fail in a ductile manner (large strains, or extensions, before fracture at point 3 on the curve). Steel is equally strong in tension and compression.

  8. Stress–strain analysis - Wikipedia

    en.wikipedia.org/wiki/Stress–strain_analysis

    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 ...

  9. Euler's critical load - Wikipedia

    en.wikipedia.org/wiki/Euler's_critical_load

    Using the free body diagram in the right side of figure 3, and making a summation of moments about point x: = + = where w is the lateral deflection. According to Euler–Bernoulli beam theory , the deflection of a beam is related with its bending moment by: M = − E I d 2 w d x 2 . {\displaystyle M=-EI{\frac {d^{2}w}{dx^{2}}}.}