Solution of Some Boundary Problems of Stationary Oscillation of Moment Theory of Elasticity Using Fourier Integral Transformation

We have considered the first version of the moment theory of elasticity, where Ω= 1 2 rotU , where U is a displacement vector, and Ω-rotation vector. Using Fourier integral transformation, some boundary problems of the moment theory of elasticity, in particular, stationary oscillation problems for a semiplane and an endless strip, have been effectively solved.

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Publication Details

Journal
Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.4236/am.2025.167029
Primary Topic
Elasticity and Wave Propagation
Type
article
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0.00
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article

Solution of Some Boundary Problems of Stationary Oscillation of Moment Theory of Elasticity Using Fourier Integral Transformation

Daria Bitsadze
Applied Mathematics
Elasticity and Wave Propagation
article

Solution of Some Boundary Problems of Stationary Oscillation of Moment Theory of Elasticity Using Fourier Integral Transformation

Daria Bitsadze
article en

Abstract

We have considered the first version of the moment theory of elasticity, where Ω= 1 2 rotU , where U is a displacement vector, and Ω-rotation vector. Using Fourier integral transformation, some boundary problems of the moment theory of elasticity, in particular, stationary oscillation problems for a semiplane and an endless strip, have been effectively solved.

Applied MathematicsVol. 16(07)
Georgian Technical University (GE)
Openalex Percentile: Top 80%
Elasticity and Wave Propagation
DOIOpen Access PDFOpenAlex
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Solution of Some Boundary Problems of Stationary Oscillation of Moment Theory of Elasticity Using Fourier Integral Transformation — Daria Bitsadze · Applied Mathematics (2025) | TGRS Research Map | TGRS