An asymptotic formula for displacement field in triangular lattice with vacancy

Autor:	Tsaplin, V. A., Kuzkin, V. A.
Rok vydání:	2017
Předmět:	Condensed Matter - Materials Science Condensed Matter - Mesoscale and Nanoscale Physics Physics - Classical Physics
Druh dokumentu:	Working Paper
Popis:	A harmonic triangular lattice with a vacancy under imposed volumetric strain is considered. Simple asymptotic formula for the displacement field is derived. The formula has reasonable accuracy at all lattice nodes. Strain concentration factor, defined as the ratio of the maximal deformation of the bonds adjacent to the vacancy to the deformations of bonds at infinity, is calculated. It is shown that the asymptotic formula predicts the strain concentration factor with 4% accuracy. The results are compared with predictions of continuum elasticity theory. Effective diameter of the vacancy is calculated. Comment: 7 pages; 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.02056 Zobrazit plný text záznamu View this record from Arxiv