Implementation and Research of Finite Element Method for Nonlocal Elasticity Theory Problems in Julia Programming Language

The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional nonlocal elasticity theory problems. The article discusses the main features of the nonlocal theory and the implementation algorithm, taking int...

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Vydáno v:2023 Applied Mathematics, Computational Science and Mechanics: Current Problems (AMCSM) s. 1 - 5
Hlavní autoři: Kuvyrkin, G.N., Savelyeva, I.Y., Sokolov, A.A., Cherednichenko, A.V., Novozhilova, O.V.
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.07.2023
Témata:
Computer languages
Elasticity
equilibrium equation
finite element method
Julia
nonlocal elasticity
Programming
Scientific computing
Software algorithms
Software packages
Three-dimensional displays
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Abstract The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional nonlocal elasticity theory problems. The article discusses the main features of the nonlocal theory and the implementation algorithm, taking into account the Julia language features. A number of calculations and comparisons of classical and nonlocal theories are carried out on the example of the problem of applying a load to the rigidly fixed beam end.
AbstractList The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional nonlocal elasticity theory problems. The article discusses the main features of the nonlocal theory and the implementation algorithm, taking into account the Julia language features. A number of calculations and comparisons of classical and nonlocal theories are carried out on the example of the problem of applying a load to the rigidly fixed beam end.
Author Cherednichenko, A.V.
Kuvyrkin, G.N.
Novozhilova, O.V.
Sokolov, A.A.
Savelyeva, I.Y.
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  givenname: G.N.
  surname: Kuvyrkin
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  givenname: I.Y.
  surname: Savelyeva
  fullname: Savelyeva, I.Y.
  email: inga.savelyeva@bmstu.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
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  givenname: A.A.
  surname: Sokolov
  fullname: Sokolov, A.A.
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  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
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  givenname: A.V.
  surname: Cherednichenko
  fullname: Cherednichenko, A.V.
  email: alexvche@bmstu.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
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  givenname: O.V.
  surname: Novozhilova
  fullname: Novozhilova, O.V.
  email: Zokolof@yandex.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
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SubjectTerms Computer languages
Elasticity
equilibrium equation
finite element method
Julia
nonlocal elasticity
Programming
Scientific computing
Software algorithms
Software packages
Three-dimensional displays
Title Implementation and Research of Finite Element Method for Nonlocal Elasticity Theory Problems in Julia Programming Language
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