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Fractional non-axisymmetric consolidation of stratified cross-anisotropic visco-poroelastic media

机译：分层横向各向异性粘弹性介质的分数非轴对称固结

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摘要

This paper investigates the fractional non-axisymmetric consolidation of stratified cross-anisotropic visco-poroelastic media. Firstly, based on the Laplace-Hankel transform, the ordinary differential equations of cross-anisotropic poroelastic media are derived, which are extended to those of fractional visco-poroelastic media by introducing the fractional Merchant model and the elastic-viscoelastic correspondence principle. Then, the extended equations are solved by the extended precise integration method (PIM), and the proposed theory is compared with the results reported in the references. Finally, selected numerical examples are performed to investigate the effects of the order of fractional derivative, viscoelasticity, cross-anisotropy and stratification on the non-axisymmetric consolidation.
机译：本文研究了分层横向各向异性粘弹性介质的分数非轴对称巩固。首先，基于Laplace-Hankel变换，推导出横向各向异性孔弹性介质的普通微分方程，通过引入分数商品模型和弹性粘弹性的对应原理来延伸到分数粘弹性介质的常规粘弹性介质。然后，通过扩展的精确积分方法（PIM）来解决扩展方程，并且将所提出的理论与参考文献中报告的结果进行比较。最后，进行选定的数值实例以研究分数衍生物，粘弹性，交叉各向异性和分层对非轴对称固结的效果。

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  • 来源
    《Applied Mathematical Modelling》 |2020年第11期|372-388|共17页
  • 作者

    Zhi Yong Ai; Ke Xin Hu; Pan Cong Li;

  • 作者单位

    Department of Ceotechnical Engineering Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education College of Civil Engineering Tongji University 1239 Siping Road Shanghai 200092 PR China;

    Department of Ceotechnical Engineering Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education College of Civil Engineering Tongji University 1239 Siping Road Shanghai 200092 PR China;

    Department of Ceotechnical Engineering Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education College of Civil Engineering Tongji University 1239 Siping Road Shanghai 200092 PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Non-axisymmetric consolidation; Fractional Merchant model; Extended precise integration method; Cross-anisotropic; Visco-poroelastic; Stratified media;

    机译：非轴对称合并;分数商品模型;扩展精确集成方法;横向各向异性;Visco-poroelastic;分层媒体;

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