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Volume 52 Issue 4
Aug.  2020
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Xiong Chunbao, Hu Qianqian, Guo Ying. DYNAMIC RESPONSE OF SATURATED POROUS ELASTIC FOUNDATION UNDER POROSITY ANISOTROPY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 1120-1130. DOI: 10.6052/0459-1879-20-091
Citation: Xiong Chunbao, Hu Qianqian, Guo Ying. DYNAMIC RESPONSE OF SATURATED POROUS ELASTIC FOUNDATION UNDER POROSITY ANISOTROPY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 1120-1130. DOI: 10.6052/0459-1879-20-091
shu

DYNAMIC RESPONSE OF SATURATED POROUS ELASTIC FOUNDATION UNDER POROSITY ANISOTROPY

  • School of Civil Engineering, Tianjin University, Tianjin 300072, China

  • Received Date: March 22, 2020
    Graphical Abstract
    • Abstract
  • Natural soils usually exhibit some anisotropic characteristics due to different deposition conditions and stress states. This study investigated the effects of coupled thermo-hydro-mechanical dynamics on an anisotropy of porosity, fully saturated, and poroelastic half-space subgrade whose surface is subjected to either thermal load or mechanical load in the direction of increasing the depth of the foundation and the direction of the wave propagation. Based on the Lord-Shulman generalized thermoelastic theory and the basic assumption of anisotropy of porosity, the coupled thermo-hydro-mechanical dynamic model for the porosity anisotropy saturated porous elastic foundation is established. The general relationships among non-dimensional vertical displacement, excess pore water pressure, vertical stress, and temperature distribution deduce by using normal mode analysis and depict them graphically. Normal mode analysis is a method using weighted residuals to derive analytical solutions and can thus solve partial differential equations more quickly compared to other methods. When the anisotropic parameter of porosity equals one the dynamic model of this anisotropic foundation can be reduced to a foundation model consistent with the coupled thermo-hydro-mechanical dynamic model, thus verifying the accuracy of the foundation model. The effects of anisotropic parameters of porosity on different physical variables are analyzed emphatically. The results show that the different anisotropic porosity coefficient parameters has a certain influence on all physical variables. The anisotropic porosity has a significant effect on the non-dimensional excess pore water pressure and the vertical stress when the upper surface of the foundation under thermal load, while has obviously effect on the excess pore water and temperature under mechanical load. As a whole, whatever the load is on the surface of the foundation, the peak of the curve decreases gradually and the location of the peak moves closer to the surface in the direction of increasing along the foundation depth as the increase of anisotropy parameters.
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  • [1] Biot MA. Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics, 1956,27(3):240-253
    [2] Lord HW, Shulman YA. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 1967,15(5):299-309
    [3] Noorishan J, Tsang CF, Witherspoo PA. Coupled thermal-hydraulic-mechanical phenomena in saturated fractured porous. Journal of Geophysical Research, 1984,89(B12):365-373
    [4] 白冰. 饱和多孔介质热-水-力控制方程耦合项的意义及耦合影响分析. 岩土力学, 2006,27(4):519-536
    [4] ( Bai Bing. Effects of coupling schemes of thermo-hydro-mechanica governing equations for saturated porous medium. Rock and Soil Mechanics, 2006,27(4):519-536 (in Chinese))
    [5] 白冰. 循环温度载荷作用下饱和多孔介质热-水-力耦合响应. 工程力学, 2007,24(5):87-92
    [5] ( Bai Bing. Thermo-hydro-mechanical responses of saturated porous media under cyclic thermal loading. Engineering Mechanics, 2007,24(5):87-92 (in Chinese))
    [6] Liu GB, Xie KH, Zheng RY. Thermo-elastodynamic response of a spherical cavity in saturated poroelastic medium. Applied Mathematical Modelling, 2010,34(8):2203-2222
    [7] Liu GB, Xie KH, Zheng RY. Mode of a spherical cavity's thermo-elastodynamic response in a saturated porous medium for non-torsional loads. Computers & Geotechnics, 2010,37(3):381-390
    [8] Xiong CB, Guo Y, Diao Y. Normal mode analysis to a poroelastic half-space problem under generalized thermoelasticity. Latin American Journal of Solids and Stuctures, 2017,14:933-952
    [9] 熊春宝, 郭颖, 刁钰 等. 载荷作用下多孔饱和地基的热-水-力耦合动力响应分析. 计算力学学报, 2018,35(6):795-801
    [9] ( Xiong Chunbao, Guo Ying, Diao Yu, et al. Coupled thermo-hydro-mechanical dynamic response of saturated porous foundation under normal load. Chinese Journal of Computational Mechanics, 2018,35(6):795-801 (in Chinese))
    [10] 熊春宝, 郭颖, 刁钰. 考虑热-水-力耦合效应的饱和多孔地基动力响应分析. 应用数学和力学, 2016,37(8):850-858
    [10] ( Xiong Chunbao, Guo Ying, Diao Yu. Dynamic responses of saturated porous foundations under coupled thermo-hydro-mechanical effects. Applied Mathematics and Mechanics, 2016,37(8):850-858 (in Chinese))
    [11] 刘干斌, 郑荣跃, 陶海冰. 饱和多孔介质中热弹性波传播特性研究. 地下空间与工程学报, 2016,12(4):926-931
    [11] ( Liu Ganbin, Zheng Rongyue, Tao Haibing. Propagation of thermo-elastic wave in saturated porous media. Chinese Journal of Underground Space and Engineering, 2016,12(4):926-931 (in Chinese))
    [12] 陈迪, 郑荣跃, 刘干斌 等. 考虑热渗效应的有限热源固结近似解. 力学与实践, 2016,38(3):294-298
    [12] ( Chen Di, Zheng Rongyue, Liu Ganbin, et al. Approximate solution of finite heat source consolidation with consideration of the effect of thermo-osmosis. Mechanics in Engineering, 2016,38(3):294-298 (in Chinese))
    [13] 郭华, 陶海冰, 刘干斌 等. 考虑热渗效应的有限长圆柱热固结解. 力学季刊, 2018,39(1):171-181
    [13] ( Guo Hua, Tao Haibing, Liu Ganbin, et al. Solution of finite length cylindrical thermosetting considering heat infiltration effect. Chinese Quarterly of Mechanics, 2018,39(1):171-181 (in Chinese))
    [14] 刘硕, 方国东, 王兵 等. 近场动力学与有限元方法耦合求解热传导问题. 力学学报, 2018,50(2):339-348
    [14] ( Liu Shuo, Fang Guodong, Wang Bing, et al. Study of thermal conduction problem using coupled peridynamics and fifinite element method. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(2):339-348 (in Chinese))
    [15] 朱强华, 杨恺, 梁钰 等. 基于特征正交分解的一类瞬态非线性热传导问题的新型快速分析方法. 力学学报, 2020,52(1):124-138
    [15] ( Zhu Qianghua, Yang Kai, Liang Yu, et al. A novel fast algorithm based on model order reduction for one class of transient nonlinear heat conduction problem. Chinese Journal of Theoretical and Applied Mechanics, 2020,52(1):124-138 (in Chinese))
    [16] 王炳军, 肖洪天, 党彦 等. 横观各向同性地基各向异性对应力场影响研究. 四川大学学报(工程科学版), 2015,47(6):40-48
    [16] ( Wang Bingjun, Xiao Hongtian, Dang Yan, et al. Influence of the anisotropy of a transversely isotropic foundation on additional stress fields. Journal of Sichuan University (Engineer Science Edition), 2015,47(6):40-48 (in Chinese))
    [17] Rajapakse R, Wang Y. Elastodynamic Green's functions of orthotropic half plane. Journal of Engineering Mechanics, 1991,117(3):588-604
    [18] Wang Y, Rajapakse R. Transient fundamental solutions for a transversely isotropic elastic half space. Proceedings: Mathematical and Physical Science, 1993,442(1916):505-531
    [19] Abousleiman Y, Ekbote S. Solutions for the inclined borehole in a porothermoelastic transversely isotropic medium. Journal of Applied Mechanics, 2005,72(2):102-114
    [20] Kanj M, Abousleiman Y. Porothermoelastic analyses of anisotropic hollow cylinders with applications. International Journal for Numerical and Analytical Methods in Geomechanics, 2005,29(1):103-126
    [21] Ai ZY, Ren GP. Dynamic analysis of a transversely isotropic multilayered half-plane subjected to a moving load. Soil Dynamics and Earthquake Engineering, 2016,83:162-166
    [22] Ai ZY, Xu CJ, Ren GP. Vibration of a pre-stressed plate on a transversely isotropic multilayered half-plane due to a moving load. Applied Mathematical Modelling, 2018,59(7):728-738
    [23] Ai ZY, Liu CL, Wang LH. Transient response of a transversely isotropic multilayered half-space due to a vertical loading. Applied Mathematical Modelling, 2017,50(10):414-431
    [24] Beskou ND, Chen YY, Qian J. Dynamic response of an elastic plate on a cross-anisotropic poroelastic half-plane to a load moving on its surface. Transportation Geotechnics, 2018,14:98-106
    [25] Chen YY, Beskou ND, Qian J. Dynamic response of an elastic plate on a cross-anisotropic poroelastic half-plane to a load moving on its surface. Soil Dynamics and Earthquake Engineering, 2018,107:292-302
    [26] 艾智勇, 张逸帆, 王路君. 层状横观各向同性地基平面应变问题的扩展精细积分解. 岩土力学, 2018,39(5):1885-1890, 1900
    [26] ( Ai Zhiyong, Zhang Yifan, Wang Lujun. Extended precise integration solution for plane strain problem of transversely isotropic multilayered soils. Rock and Soil Mechanics, 2018,39(5):1885-1890, 1900 (in Chinese))
    [27] 朱桂春, 史培新, 王占生. 层状横观各向同性地基变形问题的一个近似解. 岩土工程学报, 2020,42(4):790-796
    [27] ( Zhu Guichun, Shi Peixin, Wang Zhansheng. An approximate solution for deformation problems of transversely isotropic multi-layered soils. Chinese Journal of Geotechnical Engineering, 2020,42(4):790-796 (in Chinese))
    [28] 韩泽军, 林皋, 周小文 等. 横观各向同性层状地基动应力响应的求解与分析. 岩土力学, 2018,39(6):2287-2294
    [28] ( Han Zejun, Lin Gao, Zhou Xiaowen. An approximate solution for deformation problems of transversely isotropic multi-layered soils. Rock and Soil Mechanics, 2018,39(6):2287-2294 (in Chinese))
    [29] 张春丽, 王博, 祝彦知. 移动载荷下正交各向异性地基无限大板的动力响应. 岩土工程学报, 2017,39(2):352-358
    [29] ( Zhang Chunli, Wang Bo, Zhu Yanzhi. Dynamic response of infinite plate on orthotropic half-plane medium under moving loads. Chinese Journal of Geotechnical Engineering, 2017,39(2):352-358 (in Chinese))
    [30] 王博, 张春丽, 祝彦知. 正交各向异性路基路面在移动载荷作用下的空间动力响应. 郑州大学学报(工学版), 2019,40(1):50-54, 61
    [30] ( Wang Bo, Zhang Chunli, Zhu Yanzhi. Efficiency analysis of structural extreme response estimation methods. Journal of Zhengzhou University (Engineering Science), 2019,40(1):50-54, 61 (in Chinese))
    [31] 郑保敬, 梁钰, 高效伟 等. 功能梯度材料动力学问题的POD模型降阶分析. 力学学报, 2018,50(4):787-797
    [31] ( Zheng Baojing, Liang Yu, Gao Xiaowei, et al. Analysis for dynamic response of functionally graded materials using pod based reduced order model. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(4):787-797 (in Chinese))
    [32] Wang LJ, Zhu B, Chen YM, et al. Precise model for predicting excess pore-water pressure of layered soils induced by thermal-mechanical loads. Journal of Engineering Mechanics, 2019,145(1):04018114
    [33] 夏建中, 徐云飞, 尤玉云 等. 考虑热源下二维渗透各向异性饱和土热固结解析解。 科技通报, 2019,35(1):101-107
    [33] ( Xia Jianzhong, Xu Yunfei, You Yuyun, et al. Two-dimensional thermal consolidation study with anisotropic permeability under considering heat source. Bulletin of Science and Technology, 2019,35(1):101-107 (in Chinese))
    [34] Ai ZY, Cang NR. Non-axisymmetric Biot consolidation analysis of multi-layered saturated poroelastic materials with anisotropic permeability. Soils & Foundations, 2013,53(3):408-416
    [35] 王立安, 赵建昌, 侯小强 等. 非均匀饱和半空间的Lamb问题. 岩土力学, 2020(5), DOI: 10.16285/j.rsm.2019.0591
    [35] ( Wang Lian, Zhao Jianchang, Hou Xiaoqiang, et al. Lamb problem for non-homogeneous saturated half space. Rock and Soil Mechanics, 2020(5), DOI: 10.16285/j.rsm.2019.0591 (in Chinese))
    [36] 李腾风, 王志良, 申林方 等. 基于格子Boltzmann方法非饱和土体水热耦合模型研究. 工程力学, 2019,36(9):154-160, 196
    [36] ( Wang Lian, Zhao Jianchang, Hou Xiaoqiang, et al. A coupled moisture-heat model for unsaturated soil based on lattice Boltzmann method. Engineering Mechanics, 2019,36(9):154-160, 196 (in Chinese))
    [37] 戴婷, 戴宏亮, 李军剑 等. 含孔隙变厚度FG圆板的湿热力学响应. 力学学报, 2019,51(2):212-223
    [37] ( Dai Ting, Dai Hongliang, Li Junjian, et al. Hygeothermal mechanical behavior of a FG circular plate with variable thickness. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(2):212-223 (in Chinese))
    [38] Guo Y, Zhu HB, Xiong CB, et al. A two-dimensional generalized thermo-hydro-mechanical-coupled problem for a poroelastic half-space. Waves in Random & Complex Media, 2018, doi: 10.1080/17455030.2018.1557758
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