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Optimization and variational principles for the shear strength reduction method

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F21%3A00548188" target="_blank" >RIV/68145535:_____/21:00548188 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27120/21:10248971

  • Result on the web

    <a href="https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3270" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3270</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/nag.3270" target="_blank" >10.1002/nag.3270</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Optimization and variational principles for the shear strength reduction method

  • Original language description

    In this paper, a modified shear strength reduction method (MSSR) and its optimization variant (OPT-MSSR) are suggested. The idea of MSSR is to approximate the standard shear strength reduction to be more stable and rigorous from the numerical point of view. The MSSR method consists of a simplified associated elasto-plastic model completed by the strength reduction depending on the dilatancy angle. Three Davis' modifications suggested by Tschuchnigg et al. (2015) are interpreted as special cases of MSSR and their factors of safety are compared. The OPT-MSSR method is derived from MSSR on the basis of rigid plastic assumption, similarly as in limit analysis. Using the variational approach, the duality between the static and kinematic principles of OPT-MSSR is shown. The numerical solution of OPT-MSRR is obtained by performing a regularization method in combination with the finite element method, mesh adaptivity and a damped Newton method. In-house codes (Matlab) are used for the implementation of this solution concept. Finally, two slope stability problems are considered, one of which follows from analysis of a real slope. The softwares packages Plaxis and Comsol Multiphysics are used for comparison of the results.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA19-11441S" target="_blank" >GA19-11441S: Efficient and reliable computational techniques for limit analysis and incremental methods in geotechnical stability</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    International Journal for Numerical and Analytical Methods in Geomechanics

  • ISSN

    0363-9061

  • e-ISSN

    1096-9853

  • Volume of the periodical

    45

  • Issue of the periodical within the volume

    16

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    2388-2407

  • UT code for WoS article

    000687027100001

  • EID of the result in the Scopus database

    2-s2.0-85113158232