Application of the variation method to assess stability of waterlogged soil masses
One of the main issues in designing earth structures is to ensure their slope stability. To analyze the stability of soil mass affected by seepage forces a new method has been proposed where all equilibrium conditions and boundary conditions at the ends of the surface profile are satisfied by strain...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Peter the Great St. Petersburg Polytechnic University
2014-10-01
|
| Series: | Инженерно-строительный журнал |
| Subjects: | |
| Online Access: | http://www.engstroy.spb.ru/eng/index_2014_06/03.html |
| _version_ | 1811205004937134080 |
|---|---|
| author | V.N. Bukhartsev H.T. Nguyen |
| author_facet | V.N. Bukhartsev H.T. Nguyen |
| author_sort | V.N. Bukhartsev |
| collection | DOAJ |
| description | One of the main issues in designing earth structures is to ensure their slope stability. To analyze the stability of soil mass affected by seepage forces a new method has been proposed where all equilibrium conditions and boundary conditions at the ends of the surface profile are satisfied by strain and orientation of areas of shear.
To find the most hazardous hypothetical failure surface a variational method was used, which involves solving Euler-Lagrange differential equation as a necessary condition for the existence of functional extremum. Since the problem can be solved in the framework of the scheme of limit equilibrium of soil masses with the use of the Mohr-Coulomb strength criterion, one of the parameters of soil strength acts as a functional for the given values of another parameter. Sufficiency of the existing functional extremum is verified numerically. |
| first_indexed | 2024-04-12T03:23:17Z |
| format | Article |
| id | doaj.art-c764496dd3c14de2a35538af709567b2 |
| institution | Directory Open Access Journal |
| issn | 2071-4726 2071-0305 |
| language | English |
| last_indexed | 2024-04-12T03:23:17Z |
| publishDate | 2014-10-01 |
| publisher | Peter the Great St. Petersburg Polytechnic University |
| record_format | Article |
| series | Инженерно-строительный журнал |
| spelling | doaj.art-c764496dd3c14de2a35538af709567b22022-12-22T03:49:49ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-47262071-03052014-10-01506243110.5862/MCE.50.3Application of the variation method to assess stability of waterlogged soil massesV.N. Bukhartsev0H.T. Nguyen1Saint-Petersburg State Polytechnical UniversitySaint-Petersburg State Polytechnical UniversityOne of the main issues in designing earth structures is to ensure their slope stability. To analyze the stability of soil mass affected by seepage forces a new method has been proposed where all equilibrium conditions and boundary conditions at the ends of the surface profile are satisfied by strain and orientation of areas of shear. To find the most hazardous hypothetical failure surface a variational method was used, which involves solving Euler-Lagrange differential equation as a necessary condition for the existence of functional extremum. Since the problem can be solved in the framework of the scheme of limit equilibrium of soil masses with the use of the Mohr-Coulomb strength criterion, one of the parameters of soil strength acts as a functional for the given values of another parameter. Sufficiency of the existing functional extremum is verified numerically.http://www.engstroy.spb.ru/eng/index_2014_06/03.htmlstability of soil massseepages forcesdepression surfacevariational methodequilibrium conditionsboundary conditions |
| spellingShingle | V.N. Bukhartsev H.T. Nguyen Application of the variation method to assess stability of waterlogged soil masses Инженерно-строительный журнал stability of soil mass seepages forces depression surface variational method equilibrium conditions boundary conditions |
| title | Application of the variation method to assess stability of waterlogged soil masses |
| title_full | Application of the variation method to assess stability of waterlogged soil masses |
| title_fullStr | Application of the variation method to assess stability of waterlogged soil masses |
| title_full_unstemmed | Application of the variation method to assess stability of waterlogged soil masses |
| title_short | Application of the variation method to assess stability of waterlogged soil masses |
| title_sort | application of the variation method to assess stability of waterlogged soil masses |
| topic | stability of soil mass seepages forces depression surface variational method equilibrium conditions boundary conditions |
| url | http://www.engstroy.spb.ru/eng/index_2014_06/03.html |
| work_keys_str_mv | AT vnbukhartsev applicationofthevariationmethodtoassessstabilityofwaterloggedsoilmasses AT htnguyen applicationofthevariationmethodtoassessstabilityofwaterloggedsoilmasses |