Time-dependent behavior of axisymmetric thermal consolidation for multilayered transversely isotropic poroelastic material

被引：31
作者：
Ai, Zhi Yong [1 ]
Ye, Zi [1 ]
Zhao, Zhen [1 ]
Wu, Quan Long [1 ]
Wang, Lu Jun [1 ,2 ]
机构：
[1] Tongji Univ, Coll Civil Engn, Minist Educ, Dept Geotech Engn,Key Lab Geotech & Underground E, 1239 Siping Rd, Shanghai 200092, Peoples R China
[2] Zhejiang Univ, Inst Geotech Engn, MOE Key Lab Soft Soils & Geoenvironm Engn, Hangzhou, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2018年 / 61卷
基金：
中国国家自然科学基金;
关键词：
Time-dependent behavior; Thermal consolidation; Transverse isotropy; Multilayered poroelastic material; Extended precise integration method; POROUS THERMOELASTIC MEDIUM; PRECISE INTEGRATION METHOD; HEAT-SOURCE; HALF-SPACE; MEDIA; MODEL; WASTE; DEFORMATION; PROPAGATION; ELASTICITY;
D O I：
10.1016/j.apm.2018.04.012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The governing equations for axisymmetric thermal consolidation of transversely isotropic poroelastic material are treated by employing Laplace-Hankel transforms to deduce the standard differential equations. Then the extended precise integration method is applied to solve the above standard differential equations. Combining with the continuity conditions and the boundary conditions, the solution in the transformed domain can be achieved. The actual solution can be acquired by inverting the integral transformations. Several numerical examples are provided to examine the accuracy of the theory and to discuss the effects of the properties of materials and the stratification on the time-dependent behavior of thermal consolidation for multilayered transversely isotropic poroelastic material. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：216 / 236
页数：21
相关论文
共 52 条
  • [1] Abate J., 2010, INT J NUMER METHODS, V60, P979
  • [2] Abousleiman Y, 2001, SOLID MECH APPL, V87, P145
  • [3] Solutions for the inclined borehole in a porothermoelastic transversely isotropic medium
    Abousleliman, Y
    Ekbote, S
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2005, 72 (01): : 102 - 114
  • [4] Axisymmetric thermal consolidation of multilayered porous thermoelastic media due to a heat source
    Ai, Z. Y.
    Wang, L. J.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2015, 39 (17) : 1912 - 1931
  • [5] Three-dimensional thermo-hydro-mechanical responses of stratified saturated porothermoelastic material
    Ai, Zhi Yong
    Wang, Lu Jun
    [J]. APPLIED MATHEMATICAL MODELLING, 2016, 40 (21-22) : 8912 - 8933
  • [6] The behavior of a multilayered porous thermo-elastic medium with anisotropic thermal diffusivity and permeability
    Ai, Zhi Yong
    Wu, Quan Long
    [J]. COMPUTERS AND GEOTECHNICS, 2016, 76 : 129 - 139
  • [7] Extended precise integration method for axisymmetric thermo-elastic problem in transversely isotropic material
    Ai, Zhi Yong
    Wu, Quan Long
    Wang, Lu Jun
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2016, 40 (02) : 297 - 312
  • [8] Extended precise integration method for consolidation of transversely isotropic poroelastic layered media
    Ai, Zhi Yong
    Cheng, Yi Chong
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (12) : 1806 - 1818
  • [9] Extended Sneddon and Muki solutions for multilayered elastic materials
    Ai, ZY
    Yue, ZQ
    Tham, LG
    Yang, M
    [J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (13) : 1453 - 1483
  • [10] Multiphysics of Multilayered and Functionally Graded Cylinders Under Prescribed Hygrothermomagnetoelectro-Mechanical Loading
    Akbarzadeh, A. H.
    Pasini, D.
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2014, 81 (04):
123456