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首页> 外文期刊>Applied Mathematical Modelling >Three-dimensional thermo-hydro-mechanical responses of stratified saturated porothermoelastic material
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Three-dimensional thermo-hydro-mechanical responses of stratified saturated porothermoelastic material

机译：层状饱和多孔热弹性材料的三维热-水-力学响应

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摘要

An exact solution for three-dimensional thermo-hydro-mechanical responses of stratified saturated porothermoelastic material containing a heat source is derived in this paper. Starting with the governing equations of porothermoelastic materials in the Cartesian coordinates, analytical layer-elements of a finite layer and a half-space are obtained in the transformed domain with the aid of Laplace-Fourier transform. The global stiffness matrix of a multi-layered system is assembled and solved in the transformed domain by considering the continuity conditions at adjacent layer interfaces and the boundary conditions. By introducing the inversion of Laplace-Fourier transform, the actual solution in the physical domain is obtained. Finally, a numerical example is carried out to confirm the efficiency and accuracy of the present method, and then a series of numerical examples are performed to study the effects of heat source's half-life and shape, thermo-permeability ratio and stratified material properties on the responses of saturated porothermoelastic material.
机译：本文给出了含热源的分层饱和多孔热弹性材料的三维热-水-机械响应的精确解。从笛卡尔坐标系中的热弹性材料的控制方程开始，借助拉普拉斯-傅里叶变换在变换域中获得了有限层和半空间的解析层元素。通过考虑相邻层界面的连续性条件和边界条件，在变换域中组装并求解多层系统的整体刚度矩阵。通过引入拉普拉斯-傅立叶变换的反演，获得了物理域中的实际解。最后，通过数值算例验证了本方法的有效性和准确性，然后通过一系列数值算例研究了热源的半衰期和形状，热导率和分层材料性能对热源的影响。饱和多孔热弹性材料的响应。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第22期|8912-8933|共22页
  • 作者

    Zhi Yong Ai; Lu Jun Wang;

  • 作者单位

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

    Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, College of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, 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

    Thermo-hydro-mechanical responses; Porothermoelastic material; Analytical layer-element method; Laplace-Fourier transform;

    机译：热-水力-机械响应;多孔弹性材料;层次分析法;拉普拉斯-傅立叶变换;

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