Physics:Schmid's law
In materials science, Schmid's law (also Schmid factor[lower-alpha 1]) 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 (τ) is equal to the stress applied to the material (σ) multiplied by the cosine of the angle with the vector normal to the glide plane (φ) and the cosine of the angle with the glide direction (λ). Which can be expressed as:[2]
- [math]\displaystyle{ \tau = m \sigma }[/math]
where m is known as the Schmid factor
- [math]\displaystyle{ m = \cos(\phi) \cos(\lambda) }[/math]
Both factors τ and σ are measured in stress units, which is calculated the same way as pressure (force divided by area). φ and λ are angles.
The factor is named after Erich Schmid who coauthored a book with Walter Boas introducing the concept in 1935.[3]
See also
Notes
References
- ↑ Merkel, Manfred; Karl-Heinz Thomas (2008) (in German). Taschenbuch der Werkstoffe (7th ed.). München: Fachbuchverlag Leipzig im Carl Hanser Verlag. ISBN 9783446411944.
- ↑ Caceres, Pablo G.. "Deformation of Single Crystals". http://academic.uprm.edu/pcaceres/Courses/MechMet/MET-3A.pdf. Retrieved 15 May 2014.
- ↑ Schmid, Erich; Walter Boas (1935) (in German). Kristallplastizität: Mit Besonderer Berücksichtigung der Metalle (1st ed.). Springer. ISBN 978-3662342619. https://www.springer.com/materials/special+types/book/978-3-662-34261-9.
Further reading
- Translation into English: Schmid, Erich; Walter Boas (1950). Plasticity of crystals with special reference to metals. London: F.A. Hughes. https://archive.org/details/plasticityofcrys00schm.
 |  |
