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一种考虑液相惯性的一维准静力固结模型

丁洲祥

丁洲祥. 一种考虑液相惯性的一维准静力固结模型[J]. 力学学报, 2018, 50(4): 908-928. doi: 10.6052/0459-1879-18-053
引用本文: 丁洲祥. 一种考虑液相惯性的一维准静力固结模型[J]. 力学学报, 2018, 50(4): 908-928. doi: 10.6052/0459-1879-18-053
Ding Zhouxiang. ONE-DIMENSIONAL QUASI-STATIC CONSOLIDATION MODEL CONSIDERING INERTIA OF FLUID PHASE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 908-928. doi: 10.6052/0459-1879-18-053
Citation: Ding Zhouxiang. ONE-DIMENSIONAL QUASI-STATIC CONSOLIDATION MODEL CONSIDERING INERTIA OF FLUID PHASE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 908-928. doi: 10.6052/0459-1879-18-053

一种考虑液相惯性的一维准静力固结模型

doi: 10.6052/0459-1879-18-053
基金项目: 国家自然科学基金资助项目(51278028, 41172221, 50708077).
详细信息
    作者简介:

    *丁洲祥,副教授,主要研究方向:固结理论与工程应用. E-mail:dingzhouxiang@163.com

    通讯作者:

    丁洲祥

  • 中图分类号: TU431;

ONE-DIMENSIONAL QUASI-STATIC CONSOLIDATION MODEL CONSIDERING INERTIA OF FLUID PHASE

  • 摘要: 经典Terzaghi一维固结理论不考虑孔隙流体惯性影响,且该理论在不同时期模型推导和表述结果差别较大,导致当前仍存在诸多困惑甚至认识混乱的现象. 在笔者前期研究大变形动力固结理论框架内,忽略固相惯性而重点考虑液相惯性影响,经过合理简化建立反映孔隙流体惯性的一维小变形固结波动模型. 该固结波模型具有频散和耗散特性. 采用分离变量法,可得到单面排水和瞬时加载条件下无量纲形式固结波解析解答. 算例分析结果表明:固结波发展规律受无量纲数Dc变化影响而呈现不同性态;Dc数值较大时固结波响应会出现阶跃和正负波动现象;当Dc值较小时,可能出现Mandel-Cryer效应等特殊现象. 通过对早期和后期Terzaghi固结模型的分析和对比,初步探明Terzaghi固结理论模型内部的矛盾性,在普通土体坐标和固相体积坐标两种不同解读条件下,早期Terzaghi (1923,1925)模型可以分别诠释为具有小变形和大变形属性的不同固结模型. 在经典一维固结理论模型的不同诠释背景下,固结波模型也可以据此作出相应拓展和表述. 固结波理论揭示缩尺固结试验中土体物理力学参数与固结波响应两种因素之间存在一种不确定性矛盾,据此建议微观土力学研究重视尺度效应. 固结波模型的意义还在于,可为Terzaghi经典固结模型理论精度分析提供新的依据.

     

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