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Application of wavelet analysis to numerical modeling of deformations in multilevel hierarchical structures R. O. Cherepanov, O. I. Cherepanov, R. A. Krektuleva

By: Cherepanov, Roman OContributor(s): Cherepanov, Oleg I | Krektuleva, Raisa A | Томский государственный университет НИИ прикладной математики и механики Научные подразделения НИИ ПММMaterial type: ArticleArticleSubject(s): вейвлет-анализ | численное моделирование | иерархические структурыGenre/Form: статьи в журналах Online resources: Click here to access online In: AIP Conference Proceedings Vol. 1683. P. 020032-1-020032-4Abstract: This paper proposes a wavelet based numerical method for the solution of elastoplastic problem. The method is based on the Lagrange variational equation of elastic static and the Haar wavelet transform of the components of deformation field. Some examples of analysis of multilevel deformation are shown for the demonstration of the method’s capabilities. Some differences in the wavelet spectrums of multilevel inhomogeneous media are shown and discussed.
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This paper proposes a wavelet based numerical method for the solution of elastoplastic problem. The method is
based on the Lagrange variational equation of elastic static and the Haar wavelet transform of the components of
deformation field. Some examples of analysis of multilevel deformation are shown for the demonstration of the method’s capabilities. Some differences in the wavelet spectrums of multilevel inhomogeneous media are shown and discussed.

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