ОПТИМИЗИРОВАННЫЙ ЧИСЛЕННЫЙ МЕТОД РАСЧЕТА УПЛОТНЕНИЯ НЕНАСЫЩЕННОГО ГРУНТА ПРИ НАГРУЗКЕ, ЗАВИСЯЩЕЙ ОТ ВРЕМЕНИ An optimized numerical validation for unsaturated soil consolidation under time-dependent loading
Аннотация
Предложен метод неявных разностей (HPI) для повышения точности и скорости вычислений при расчете уплотнения неводонасыщенного грунта. Стабильность предложенного численного решения проверена с помощью критерия фон Неймана. Пример, рассматривающий постоянную во времени загрузку, демонстрирует надежность решения методом HPI. Расчеты для нагрузки, зависящей от времени, подтверждают, что схема HPI значительно превосходит метод явных разностей (EDM). Решение HPI может быть использовано для исследования уплотнения неводонасыщенного грунта при переменных нагрузках, в том числе экспоненциальных и синусоидальных.
Полный текст статьи публикуется в английской версии журнала
«Soil Mechanics and Foundation Engineering”, vol.62, No.6
Литература
Zhou, F., Shao, Y. & Ahmed, M.A.I. An Elastoplastic Constitutive Model for Unsaturated Soils Using the Suction Stress Variable. Soil Mech Found Eng., 59, 23-31 (2022). https://doi.org/10.1007/s11204-022-09780-0.
Yuan, Q., He, Q., Lang, L. et al. Analytical solution for Fredlund-Hasan unsaturated consolidation using mode superposition method. Int. J. Numer. Anal. Meth. Geomech., 47, (17), 3234-3247 (2023). https://doi.org/10.1002/nag.3618.
Gao, B., Su, L. Triaxial Mechanical Testing of Undisturbed Unsaturated Loess. Soil. Mech. Found. Eng., 57, 57-64 (2020). https://doi.org/10.1007/s11204-020-09637-4.
Yang, S., Jianting, F., Chenchen, Q. et al. Two-Dimensional Consolidation Theory of Vacuum Preloading Combined with Electroosmosis Considering the Distribution of Soil Voltage. Soil. Mech. Found. Eng., 57, 25-34 (2020). https://doi.org/10.1007/s11204-020-09633-8.
Fredlund, D.G., Hasan, J.U. One-dimensional consolidation theory unsaturated soils. Can. Geotech. J., 17(3), 521-31 (1979). https://doi.org/10.1139/t79-058.
Qin, A.F., Chen, G.J., Tan, Y.W. et al. Analytical solution to one-dimensional consolidation in unsaturated soils. Appl. Math. Mech., 29, 1329-1340 (2008).
Shan, Z.D., Ling, D.S. & Ding L.H. Exact solutions for one-dimensional consolidation of single layer unsaturated soil. Int. J. Numer. Anal. Meth. Geomech., 36(6), 708-22 (2012). https://doi.org/10.1002/nag.1026.
Zhou, W.H., Zhao, L.S. & Li, X.B. A simple analytical solution to one-dimensional consolidation for unsaturated soils. Int. J. Numer. Anal. Meth. Geomech., 38(8), 794-810 (2014).
Ho, L., Fatahi, B. & Khabbaz, H. Analytical solution for one-dimensional consolidation of unsaturated soils using eigenfunction expansion method. Int. J. Numer. Anal. Meth. Geomech., 38(10), 1058-1077 (2014). https://doi.org/10.1002/nag.2248.
Ho, L., Fatahi, B. & Khabbaz, H. A closed form analytical solution for two-dimensional plane strain consolidation of unsaturated soil stratum. Int. J. Numer. Anal. Meth. Geomech., 39(15), 1665-92 (2015). https://doi.org/10.1002/nag.2369.
Huang, M.H., Zhao, M.H. Semi-analytical solutions for two-dimensional plane strain consolidation of layered unsaturated soil. Comput. Geotech., 129, 103886 (2021). https://doi.org/10.1016/j.compgeo.2020.103886.
Wang, L., Xu, Y.F., Xia, X.H. et al. Semi-analytical solutions to two-dimensional plane strain consolidation for unsaturated soils under time-dependent loading. Comput. Geotech., 109, 144-165 (2019). https://doi.org/10.1016/j.compgeo.2019.01.002.
Ho, L., Fatahi, B. & Khabbaz, H. Analytical solution to axisymmetric consolidation in unsaturated soils with linearly depth-dependent initial conditions. Comput. Geotech. 74, 102-21 (2016).
Ho, L., Fatahi, B. Analytical solution to axisymmetric consolidation of unsaturated soil stratum under equal strain condition incorporating smear effects. Int. J. Numer. Anal. Meth. Geomech., 42(15), 1890-1913 (2018). https://doi.org/10.1002/nag.2838.
Fredlund, D.G., Rahardjo, H. Soil Mechanics for Unsaturated Soils. Wiley (1993).
Li, T.Y., Qin, A.F., Pei, Y.C.Q. et al. Semi-analytical Solutions to the Consolidation of Drainage Well Foundations in Unsaturated Soils with Radial Semipermeable Drainage Boundary under Time-Dependent Loading. Int. J. Geomech., 20(9), 04020150 (2020). https://doi.org/10.1061/(ASCE)GM.1943-5622.0001767.
Li, L.Z., Qin, A.F. & Jiang, L.H. Semi-analytical Solution of One-Dimensional Consolidation of Multilayered Unsaturated Soils. Int. J. Geomech., 21(8), 06021017 (2021).
Li, L.Z., Qin, A.F. & Jiang, L.H. Semi-analytical solution for the one-dimensional consolidation of multi-layered unsaturated soils with semi-permeable boundary. J. Eng. Math., 130(1), 10 (2021).
Sharifi, S., Rashidinia, J. Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method. Appl. Math. Comput., 281, 28-38 (2016). https://doi.org/10.1016/j.amc.2016.01.049.
Thomas, J.W. Numerical Partial Differential Equations. Springer, New York (1999). http://10.1007/978-1-4612-0569-2.
Ссылки
- На текущий момент ссылки отсутствуют.
Основания, фундаменты и механика грунтов