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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).
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 ...
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 .
Contact mechanics is the study of the deformation of solids that touch each other at one or more points. [1] [2] A central distinction in contact mechanics is between stresses acting perpendicular to the contacting bodies' surfaces (known as normal stress) and frictional stresses acting tangentially between the surfaces (shear stress).
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.
Generally speaking, curves that represent the relationship between stress and strain in any form of deformation can be regarded as stress–strain curves. The stress and strain can be normal, shear , or a mixture, and can also be uniaxial, biaxial, or multiaxial, and can even change with time.
Hence, the hardness and strength (both yield and tensile) critically depend on the ease with which dislocations move. Pinning points , or locations in the crystal that oppose the motion of dislocations, [ 5 ] can be introduced into the lattice to reduce dislocation mobility, thereby increasing mechanical strength.
In engineering, shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.