A generalized O-element approach for analyzing interface structures. (15th February 2019)

• Record Type: Journal Article
• Authors: Zhang, Jin-Yu; Gao, Yipeng; Wang, Yunzhi; Zhang, Wen-Zheng
• Is Part Of: Acta materialia. Volume 165(2019)
• Page Start: 508
• Page End: 519
• Publication Date: 2019-02-15
• Subjects: Solid state phase transformation -- Interface -- O-line -- Misfit dislocations -- Precipitate crystallography; Materials -- Periodicals; Materials science -- Periodicals; Materials -- Mechanical properties -- Periodicals; Metallurgy -- Periodicals; Chemistry, Inorganic -- Periodicals; 620.112
• DOI: 10.1016/j.actamat.2018.12.005
• Languages: English
• ISSNs: 1359-6454

Abstract

Abstract: A correct description of interfacial dislocations is critical to the understanding of physical and mechanical properties of the interfaces and their impact on phase transformation and deformation mechanisms. The O-lattice theory provides a general theoretical framework for determining interfacial dislocation structures. However, for systems having an invariant line (IL) or an invariant plane, the O-elements do not always exist in the three-dimensional (3D) space, which impedes the capability of the O-lattice theory to the interfaces in these systems. To determine the dislocation structures in interfaces for which the O-elements do not extend in the 3D space, we introduce a generalized O-element approach by employing the Moore-Penrose pseudoinverse. The generalized O-elements, as the least square solutions to the O-lattice, play a parallel role as that of the ideal O-elements and extend the candidate locations for the coherent regions between dislocations. Worked examples for dislocation structures in both homo-phase and hetero-phase systems are presented. The predicted interface structures are in good agreement with experimental observations and molecular statics (MS)/molecular dynamics (MD) simulations. Graphical abstract: Image 1