Boundary value problems of potential functions in decagonal quasicrystals
type: Item
instance of: scholarly article
title: Boundary value problems of potential functions in decagonal quasicrystals
zbMATH Open document ID: 1407.82061
DOI: 10.1155/2014/863047
author: Wu Li
author: Hao Xin
author: Tianyou Fan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A unified form of potential functions in decagonal quasicrystals (QCs) and conformal mappings are applied in a novel way to solve the boundary value problems emanating from the generalized theory of elasticity for decagonal QCs. By executing the reduction of boundary value problem to function equations, two crack problems are investigated. In the first one, an approximate analysis for bending specimen with a crack is given. In the other, a finite width strip with single edge crack of decagonal QCs is analytically estimated. Using the basic idea underlying Dugdale's crack model, the extent of cohesive force zone in each of the two cases is analytically derived.
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 7017469
Wikidata QID: Q59070191
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/863047
OpenAlex ID: W2044788987
cites work: Three-dimensional thermo-elastic general solutions of one-dimensional hexagonal quasi-crystal and fundamental solutions
cites work: Fundamental solutions of penny-shaped and half-infinite plane cracks embedded in an infinite space of one-dimensional hexagonal quasi-crystal under thermal loading
cites work: Steady-state propagation of dislocations in quasi-crystals
cites work: Q4930358
cites work: Q5327757
cites work: Phason self-actions in quasicrystals
description: scientific article; zbMATH DE number 7017469