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Abstract <p> The paper considers the stress-strain state of a layered geological medium under theinfluence of an external dynamic load. Each layer is described by an isotropic linear elastic modelwith specified mechanical parameters. For the numerical simulation of the wave propagationprocess in the two-dimensional statement of the problem, a grid-characteristic scheme of highapproximation order is constructed. The approximation of boundary and contact conditions, aswell as the accuracy deterioration problem for spatial splitting schemes, is addressed. Numericalsolution results for test problems are presented.</p>

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Grid-Characteristic Two-Dimensional Schemes for Dynamic Problems of Linearly Elastic Layered Media

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • X. Mi,
  • V. I. Golubev,
  • Yu. A. Golubeva

摘要

Abstract

The paper considers the stress-strain state of a layered geological medium under theinfluence of an external dynamic load. Each layer is described by an isotropic linear elastic modelwith specified mechanical parameters. For the numerical simulation of the wave propagationprocess in the two-dimensional statement of the problem, a grid-characteristic scheme of highapproximation order is constructed. The approximation of boundary and contact conditions, aswell as the accuracy deterioration problem for spatial splitting schemes, is addressed. Numericalsolution results for test problems are presented.