A note on the model of crystalline defects in Ericksen-Pitteri neighborhoods

✍ Scribed by P. Cermelli; E. Mazzucco

• Book ID: 104297073
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 975 KB
• Volume: 99
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00141-8

✦ Synopsis

We apply here the topological theory of defects to a simple model of crystalline microstructure, appropriate to the study of elastic crystals. The model is obtained by restricting the range of the map describing the local lattice to the neighborhood of a given reference Bravais lattice. This set may be described as the quotient of a neighborhood of the identity in GL+(R 3) (the Ericksen-Pitteri neighborhood) by a finite subgroup of the symmetry group of the reference lattice, containing the point group. We show that the topological structure of this set is sufficiently rich to describe disclinations (related to point group symmetries) and twins (related to non-rotational symmetries) but excludes defects corresponding to simple shear symmetries, intuitively related to plastic deformations. We also discuss the dependence of the description from the choice of the reference lattice.