Curvature-Controlled Defect Localization in Elastic Surface Crystals
نویسندگان
چکیده
منابع مشابه
Curvature-Controlled Defect Localization in Elastic Surface Crystals.
We investigate the influence of curvature and topology on crystalline dimpled patterns on the surface of generic elastic bilayers. Our numerical analysis predicts that the total number of defects created by adiabatic compression exhibits universal quadratic scaling for spherical, ellipsoidal, and toroidal surfaces over a wide range of system sizes. However, both the localization of individual d...
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The cluster representation matrices have already been successfully used to enumerate close-packed vacancy clusters in all single-lattice crystals [I, 2]. Point defect clusters in double-lattice crystals may have identical geometry but are distinct due to unique atomic postions enclosing them. The method of representation matrices is extended to make it applicable to represent and enumerate ...
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Symmetry-breaking transitions associated with the buckling and folding of curved multilayered surfaces-which are common to a wide range of systems and processes such as embryogenesis, tissue differentiation and structure formation in heterogeneous thin films or on planetary surfaces-have been characterized experimentally. Yet owing to the nonlinearity of the underlying stretching and bending fo...
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Norbert Stoop, Romain Lagrange, Denis Terwagne2∗, Pedro M. Reis, and Jörn Dunkel Department of Mathematics, Massachussetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA Department of Civil & Environmental Engineering, Massachussetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA Department of Mechanical Engineering, Massachusset...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2016
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.116.104301