工程地质学报2018，Vol.26Issue(6)：1480-1489,10.DOI:10.13544/j.cnki.jeg.2017-480
任意荷载下双面半透水边界分数阶导数黏弹性饱和土层一维固结
ONE-DIMENSIONAL CONSOLIDATION OF FRACTIONAL DERIVATIVE VISCOELASTIC SATURATED SOIL LAYER WITH SYMMETRIC SEMIPERMEABLE BOUNDARIES UNDER ARBITRARY LOADING
摘要
Abstract
Based on one-dimensional consolidation theory of Terzaghi, this paper studies the one-dimensional consolidation problem of saturated soil layer with fractional viscoelastic model under symmetric semi-permeable boundaries subjected to arbitrary loading. By using the Laplace transform upon the one-dimensional consolidation equation of saturated soils and the fractional Kelvin-Voigt viscoelastic constitutive equation, the analytical solutions of effective stress and settlement in the Laplace transform domain are obtained. Crump's method is adopted toperform the inverse Laplace transform in order to obtain semi-analytical solutions in the time domain. It is shown that the present solution is reliable and in a good agreement with the existing solutions from literatures by reducing the proposed solution. Last, several numerical examples are provided to investigate the consolidation behavior of saturated soils with the fractional viscoelastic model under symmetric semi-permeable boundaries subjected to arbitrary loading. The results illustrate that, in the case of arbitrary loading, the consolidation rate is affected by the semi-permeable boundary parameters, fractional order, viscosity coefficient and load parameters. The final settlement of saturated soil layer is affected by the modulus of compressibility. In addition, the consolidation behavior of soil layer is consistent with the characteristics of loadings.关键词
半透水边界/任意荷载/分数阶导数/黏弹性/饱和土层/一维固结Key words
Semi-permeable boundary/Arbitrary loading/Fractional order derivative/Viscoelasticity/Saturated soil layer/One-dimensional consolidation分类
建筑与水利引用本文复制引用
李林忠,汪磊,李培超,孙德安..任意荷载下双面半透水边界分数阶导数黏弹性饱和土层一维固结[J].工程地质学报,2018,26(6):1480-1489,10.基金项目
国家自然科学基金项目(41807232,11672172)资助. （41807232,11672172）
