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Careful note should be taken of the relationship between a hardness number and the stress-strain curve exhibited by the material. The latter, which is conventionally obtained via tensile testing , captures the full plasticity response of the material (which is in most cases a metal).
Hollomon's equation is a power law relationship between the stress and the amount of plastic strain: [10] σ = K ϵ p n {\displaystyle \sigma =K\epsilon _{p}^{n}\,\!} where σ is the stress, K is the strength index or strength coefficient, ε p is the plastic strain and n is the strain hardening exponent .
Elasticity (physics) – Physical property when materials or objects return to original shape after deformation; Elastic modulus – Physical property that measures stiffness of material; Elastography – Set of imaging methods for determining soft-tissue hardness; Hardness – Measure of a material's resistance to localized plastic deformation
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 ...
The linear relationship for a material is known as Young's modulus. Above the yield point, some degree of permanent distortion remains after unloading and is termed plastic deformation . The determination of the stress and strain throughout a solid object is given by the field of strength of materials and for a structure by structural analysis .
When testing metals, indentation hardness correlates roughly linearly with tensile strength, [1] but it is an imperfect correlation often limited to small ranges of strength and hardness for each indentation geometry. This relation permits economically important nondestructive testing of bulk metal deliveries with lightweight, even portable ...
An iron-carbon alloy is only considered steel if the carbon level is between 0.01% and 2.00% by weight. For steels, the hardness and tensile strength of the steel is related to the amount of carbon present, with increasing carbon levels also leading to lower ductility and toughness.
A variety of hardness-testing methods are available, including the Vickers, Brinell, Rockwell, Meyer and Leeb tests. Although it is impossible in many cases to give an exact conversion, it is possible to give an approximate material-specific comparison table for steels.