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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Bibliographic Details
Published in:2023 Applied Mathematics, Computational Science and Mechanics: Current Problems (AMCSM) pp. 1 - 5
Main Authors: Kuvyrkin, G.N., Savelyeva, I.Y., Sokolov, A.A., Cherednichenko, A.V., Novozhilova, O.V.
Format: Conference Proceeding
Language:English
Published: IEEE 01.07.2023
Subjects:
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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Summary: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.
DOI:10.1109/AMCSM59829.2023.10525707