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<p>In this study, the wave motion in elastodynamics for unbounded media is modeled using an unsplit-field perfectly matched layer (PML) formulation that is solved by employing an isogeometric analysis (IGA). In the adopted combination, the non-uniform rational B-spline (NURBS) functions are employed as basis functions. Moreover, the unbounded and artificial domains, defined in the PML method, are contained in a single patch domain. Based on the proposed scheme, the approximation of the geometry problem is set in a new scheme in which the PML’s absorbing and attenuation properties and the description of traveling waves can be represented. This includes a higher continuity and smoother approximation of the computed domain. As high-order NURBS basis functions are non-interpolatory, a penalty method is present to apply a time-dependent displacement load. The performance of the NURBS-based PML is analyzed through numerical examples for 1D and 2D domains, considering homogeneous and heterogeneous media. Further, we verify the long-time numerical stability of the present method. The developed method can be used to simulate hypothetical stratified domains commonly encountered in soil-structure interaction analyses.</p>

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A NURBS-based, perfectly matched layer method for transient elastodynamics in unbounded domains

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • Arturo Méndez Salas,
  • Myung-Jin Choi,
  • Sven Klinkel

摘要

In this study, the wave motion in elastodynamics for unbounded media is modeled using an unsplit-field perfectly matched layer (PML) formulation that is solved by employing an isogeometric analysis (IGA). In the adopted combination, the non-uniform rational B-spline (NURBS) functions are employed as basis functions. Moreover, the unbounded and artificial domains, defined in the PML method, are contained in a single patch domain. Based on the proposed scheme, the approximation of the geometry problem is set in a new scheme in which the PML’s absorbing and attenuation properties and the description of traveling waves can be represented. This includes a higher continuity and smoother approximation of the computed domain. As high-order NURBS basis functions are non-interpolatory, a penalty method is present to apply a time-dependent displacement load. The performance of the NURBS-based PML is analyzed through numerical examples for 1D and 2D domains, considering homogeneous and heterogeneous media. Further, we verify the long-time numerical stability of the present method. The developed method can be used to simulate hypothetical stratified domains commonly encountered in soil-structure interaction analyses.