LOCALIZATION OF SOLUTION OF THE PROBLEM OF TWO-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD | International Journal for Computational Civil and Structural Engineering

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Published: Jun 24, 2021

DOI: https://doi.org/10.22337/2587-9618-2021-17-2-83-104

Keywords:

localization, wavelet-based discrete-continual finite element method, B-spline discrete-continual finite element method, discrete-continual finite element method, finite element method, B-spline, numerical solution, two-dimensional theory of elasticity, structural analysis

Marina Mozgaleva

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Pavel Akimov

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Taymuraz Kaytukov

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Abstract

Localization of solution of the problem of two-dimensional theory of elasticity with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite element method) is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, some actual aspects of construction of normalized basis functions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finite element are described, some information about the numerical implementation and an example of analysis are presented.

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How to Cite

Mozgaleva, M., Akimov, P., & Kaytukov, T. (2021). LOCALIZATION OF SOLUTION OF THE PROBLEM OF TWO-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD. International Journal for Computational Civil and Structural Engineering, 17(2), 83-104. https://doi.org/10.22337/2587-9618-2021-17-2-83-104

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Vol. 17 No. 2 (2021): International Journal for Computational Civil and Structural Engineering

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