Subdifferential-based implicit return-mapping operators in Mohr-Coulomb plasticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482472" target="_blank" >RIV/68145535:_____/17:00482472 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/17:10237709
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600215/full" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600215/full</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.201600215" target="_blank" >10.1002/zamm.201600215</a>

Result language
angličtina
Original language name
Subdifferential-based implicit return-mapping operators in Mohr-Coulomb plasticity
Original language description
The paper is devoted to constitutive solution, limit load analysis and Newton-like methods in elastoplastic problems containing the Mohr-Coulomb yield criterion. Within the constitutive problem, we introduce a self-contained derivation of the implicit return-mapping solution scheme using a recent subdifferential-based treatment. Unlike conventional techniques based on Koiter's rules, the presented scheme a priori detects a position of the unknown stress tensor on the yield surface even if the constitutive solution cannot be found in a closed form. This eliminates blind guesswork from the scheme and enables to analyze properties of the constitutive operator. It also simplifies the construction of the consistent tangent operator, which is important for the semismooth Newton method when applied to the incremental boundary-value elastoplastic problem. The incremental problem in Mohr-Coulomb plasticity is combined with limit load analysis. Beside a conventional direct method of incremental limit analysis, a recent indirect one is introduced and its advantages are described. The paper contains 2D and 3D numerical experiments on slope stability with publicly available Matlab implementations.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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