Uploaded February 2026 | Updated September 2026, 2 weeks ago
This video has been created automatically from This is chapter 10 of the book (phase-trans.msm.cam.ac.uk/2020/Crystallography_book.pdf) Geometry of Crystals, polycrystals, and phase transformations" by H. K. D. H. Bhadeshia
This text examines homogeneous deformations in crystallography, specifically focusing on how these physical changes alter crystal structures and interfaces. It explains that such deformations can be mathematically split into pure strain and rigid body rotation, a concept exemplified by the Bain strain during the transformation of austenite to martensite. The author utilises matrix algebra and eigenvectors to identify directions in a crystal that remain unrotated or undistorted after deformation. Additionally, the sources address the topology of grain deformation, using geometric models like the Kelvin tetrakaidecahedron to calculate changes in surface area and edge length. Finally, it distinguishes between displacive transformations, which involve coordinated atomic shifts, and shuffles, which require smaller internal displacements.
This video has been created automatically from This is chapter 10 of the book (phase-trans.msm.cam.ac.uk/2020/Crystallography_book.pdf) Geometry of Crystals, polycrystals, and phase transformations" by H. K. D. H. Bhadeshia
This text examines homogeneous deformations in crystallography, specifically focusing on how these physical changes alter crystal structures and interfaces. It explains that such deformations can be mathematically split into pure strain and rigid body rotation, a concept exemplified by the Bain strain during the transformation of austenite to martensite. The author utilises matrix algebra and eigenvectors to identify directions in a crystal that remain unrotated or undistorted after deformation. Additionally, the sources address the topology of grain deformation, using geometric models like the Kelvin tetrakaidecahedron to calculate changes in surface area and edge length. Finally, it distinguishes between displacive transformations, which involve coordinated atomic shifts, and shuffles, which require smaller internal displacements.
