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The stress–strain curve for a ductile material can be approximated using the Ramberg–Osgood equation. [2] This equation is straightforward to implement, and only requires the material's yield strength, ultimate strength, elastic modulus, and percent elongation.
The Ramberg–Osgood equation was created to describe the nonlinear relationship between stress and strain—that is, the stress–strain curve—in materials near their yield points. It is especially applicable to metals that harden with plastic deformation (see work hardening), showing a smooth elastic-plastic transition.
Young's modulus is the slope of the linear part of the stress–strain curve for a material under tension or compression. Young's modulus (or Young modulus ) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise.
Other models may also include the effects of strain gradients. [3] Independent of test conditions, the flow stress is also affected by: chemical composition, purity, crystal structure, phase constitution, microstructure, grain size, and prior strain. [4] The flow stress is an important parameter in the fatigue failure of ductile materials.
The governing formula for this mechanism is: ... In the context of tensile testing and the engineering stress-strain curve, the Yield Point is the initial stress ...
Toughness as defined by the area under the stress–strain curve for one unit volume of the material. In materials science and metallurgy, toughness is the ability of a material to absorb energy and plastically deform without fracturing. [1] Toughness is the strength with which the material opposes rupture.
In solid mechanics, the tangent modulus is the slope of the stress–strain curve at any specified stress or strain. Below the proportional limit (the limit of the linear elastic regime) the tangent modulus is equivalent to Young's modulus. Above the proportional limit the tangent modulus varies with strain and is most accurately found from ...
Stress–strain analysis (or stress analysis) is an engineering discipline that uses many methods to determine the stresses and strains in materials and structures subjected to forces. In continuum mechanics , stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other ...