Analytical modelling of perforated geometrical domains by the R-functions

This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plot...

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Published inMathematical modelling and analysis Vol. 25; no. 3; pp. 490 - 504
Main Author Semerich, Yuriy
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 08.07.2020
Subjects
boundary equation of domain
Boundary value problems
Construction
Domains
Domains (Mathematics)
Limited liability companies
Mathematical models
Mathematical research
Methods
Modelling
perforated domain
R-functions
R-operations
Symmetry
Russia
R-functions
perforated domain
R-operations
boundary equation of domain
Online AccessGet full text
ISSN1392-6292
1648-3510
DOI10.3846/mma.2020.11174

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Abstract This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained.
AbstractList This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained.
This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained.
This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained. Keywords: perforated domain, R-functions, R-operations, boundary equation of domain. AMS Subject Classification: 14H50; 26B40; 51M15; 65D17.
Audience Academic
Author Semerich, Yuriy
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2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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F. Bauer (key-10.3846/mma.2020.11174-1) 1966; 2
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H. Weyl (key-10.3846/mma.2020.11174-9) 1952
key-10.3846/mma.2020.11174-2
Yu.S. Semerich (key-10.3846/mma.2020.11174-6) 2002
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  doi: 10.1115/1.3005099
– volume-title: Symmetry
  year: 1952
  ident: key-10.3846/mma.2020.11174-9
  doi: 10.1515/9781400874347
– ident: key-10.3846/mma.2020.11174-8
  doi: 10.3846/13926292.2005.9637272
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  doi: 10.21236/ADA041854
– start-page: 55
  year: 2002
  ident: key-10.3846/mma.2020.11174-6
  article-title: The R-functions method in boundary value problem for complex domain possessing symmetry
  publication-title: Abstracts of the Seventh International Conference Mathematical Modelling and Analysis MMA2002, Kaariku, Estonia, May 31-June 2, 2002
– ident: key-10.3846/mma.2020.11174-2
– volume: 2
  start-page: 141
  issue: 2
  year: 1966
  ident: key-10.3846/mma.2020.11174-1
  article-title: Stresses in a perforated cylindrical shell
  publication-title: International Journal of Solids and Structures
  doi: 10.1016/0020-7683(66)90011-4
– ident: key-10.3846/mma.2020.11174-7
  doi: 10.3846/13926292.2003.9637212
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SubjectTerms boundary equation of domain
Boundary value problems
Construction
Domains
Domains (Mathematics)
Limited liability companies
Mathematical models
Mathematical research
Methods
Modelling
perforated domain
R-functions
R-operations
Symmetry
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Title Analytical modelling of perforated geometrical domains by the R-functions
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