Abstract
A general analytical solution is developed for the onedimensional consolidation problem of unsaturated soil under various time-dependent loading conditions based on a differential transformation method (DTM). In particular, analytical solutions are obtained for different relationships between the coefficients in the governing equations for unsaturated soil consolidation. The Fourier series expansion technique is adopted to account for both the continuous differentiable loading and the periodic piecewise loading. A comparison between the results of the current solution and the existing theoretical solution indicates that the proposed solution yields excellent results, while it is straightforward to obtain the analytical solution of the unsaturated consolidation problems. It was also found that the variations in the coefficients in the governing equations can significantly influence the dissipation of both the excess pore-air pressure and the excess pore-water pressure, though the magnitudes of their variations are different.
Keywords
one-dimensional consolidation problem;unsaturated soil;analytical solution;time-dependent loading;
Data
Language: |
English |
Year of publishing: |
2018 |
Typology: |
1.01 - Original Scientific Article |
Organization: |
UM FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture |
UDC: |
624.13:517.443 |
COBISS: |
305189888
|
ISSN: |
1854-0171 |
Parent publication: |
Acta geotechnica Slovenica
|
Views: |
1054 |
Downloads: |
468 |
Average score: |
0 (0 votes) |
Metadata: |
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Other data
Secondary language: |
Slovenian |
Secondary title: |
Splošna analitična rešitev enodimenzionalne konsolidacije za nezasičene zemljine pri različnih obtežnih pogojih |
Secondary abstract: |
V članku je predstavljena splošna analitična rešitev za enodimenzionalno konsolidacijo nezasičene zemljine v različnih časovno odvisnih obtežnih pogojih, ki temelji na metodi diferencialne transformacije (DTM). Zlasti so dobljene analitične rešitve za različna razmerja med koeficienti v vodilnih enačbah za konsolidacijo nezasičenih zemljin. Tehnika razširitve Fourierjeve vrste je spremenjena tako, da upošteva tako kontinuirano diferencialno obtežbo, kot tudi periodično posamično obtežbo. Primerjava med rezultati predlagane rešitve in obstoječe teoretične rešitve kaže, da predlagana rešitev daje odlične rezultate, medtem ko je enostavno dobiti analitično rešitev konsolidacije nezasičenih zemljin. Ugotovljeno je bilo tudi, da lahko razlike v koeficientih v vodilnih enačbah znatno vplivajo na disipacijo tako pornega zračnega nadtlaka kot tudi pornega vodnega nadtlaka, čeprav so velikosti njihovih variacij različne. |
Secondary keywords: |
geotehnika;enodimenzionalna konsolidacija;nezasičena zemljina;analitična rešitev;časovno odvisna obremenitev; |
URN: |
URN:SI:UM: |
Type (COBISS): |
Scientific work |
Pages: |
str. 86-99 |
Volume: |
ǂVol. ǂ15 |
Issue: |
ǂ[no.] ǂ1 |
Chronology: |
2018 |
DOI: |
10.18690/actageotechslov.15.1.87-99.2018 |
ID: |
10977277 |