Finite element approximation of the fields of bulk and interfacial line defects

• Published in: arXiv.org
• Main Authors: Zhang, Chiqun, Acharya, Amit, Puri, Saurabh
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 17.09.2017
• Subjects: Crystal defects; Defects; Deformation; Design defects; Dipoles; Disclinations; Dislocations; Finite element method; Grain boundaries; Kinematics; Mathematical analysis; Microstructure; Numerical methods; Physics - Soft Condensed Matter; Strain; Topology; Twin boundaries

A generalized disclination (g.disclination) theory [AF15] has been recently introduced that goes beyond treating standard translational and rotational Volterra defects in a continuously distributed defects approach; it is capable of treating the kinematics and dynamics of terminating lines of elasti...