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Abstract <p>This paper describes a numerical framework for modeling the propagation of elastic waves in anisotropic media. Spatial discretization is performed using the finite element method, whereas temporal integration is carried out by means of the Newmark scheme. The mathematical model and the developed numerical procedures are employed to simulate the dynamic response of two structures of different geometry and rheology. The computations yield detailed spatio-temporal distributions of the displacements and their temporal derivatives fields and allows to study elastic waves in the structures of complex geometries.</p>

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Numerical Modeling of Wave Propagation in Anisotropic Media and Complex Geometries

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • I. E. Smirnov,
  • A. V. Vasyukov

摘要

Abstract

This paper describes a numerical framework for modeling the propagation of elastic waves in anisotropic media. Spatial discretization is performed using the finite element method, whereas temporal integration is carried out by means of the Newmark scheme. The mathematical model and the developed numerical procedures are employed to simulate the dynamic response of two structures of different geometry and rheology. The computations yield detailed spatio-temporal distributions of the displacements and their temporal derivatives fields and allows to study elastic waves in the structures of complex geometries.