On certain surfaces with given Gaussian curvature in the theory of defects in crystals
type: Item
instance of: scholarly article
title: On certain surfaces with given Gaussian curvature in the theory of defects in crystals
zbMATH Open document ID: 0755.73081
DOI: 10.1007/BF00041148
author: Cesare Davini
author: Yong Zhong Huo
published in: Journal of Elasticity
publication date: 1993-01-16T00:00:00Z
review text: The authors start with a brief statement on the surface invariants, which Davini introduced to state the dislocational defects in crystals. Those surface invariants are given as misfit associated with the construction of the image surface by mapping piece by piece from the real one in the crystal. This is similar to the Burgers vector which is the misfit associated with the mapping of a Burgers circuit. The existence theorem of those image surfaces is given from a local, as well as global, points of view. It is shown that a closed image surface can be constructed in the case of pure screw dislocations, and can not in the presence of edge dislocations.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 91226
zbMATH Keywords: continuous dislocation
zbMATH Keywords: Minkowski problem
zbMATH Keywords: surface invariants
zbMATH Keywords: image surface
zbMATH Keywords: existence theorem
zbMATH Keywords: screw dislocations
zbMATH Keywords: edge dislocations
reviewed by: Sitiro Minagawa
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 91226