Schmid's law

In materials science, Schmid's law (also Schmid factorTemplate:Efn) describes the slip plane and the slip direction of a stressed material, which can resolve the most shear stress.

Schmid's Law states that the critically resolved shear stress (Template:Mvar) is equal to the stress applied to the material (Template:Mvar) multiplied by the cosine of the angle with the vector normal to the glide plane (Template:Mvar) and the cosine of the angle with the glide direction (Template:Math). Which can be expressed as:

$\tau =m\sigma$

where Template:Mvar is known as the Schmid factor

$m=\cos (\varphi )\cos (\lambda )$

Both factors Template:Mvar and Template:Mvar are measured in stress units, which is calculated the same way as pressure (force divided by area). Template:Mvar and Template:Math are angles.

The factor is named after Erich Schmid who coauthored a book with Walter Boas introducing the concept in 1935.

See also

• Critical resolved shear stress

Further reading

• Translation into English: Template:Cite book