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A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F21%3A00548817" target="_blank" >RIV/61388998:_____/21:00548817 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/21:10436758

  • Result on the web

    <a href="https://journals.sagepub.com/doi/10.1177/1081286521990418" target="_blank" >https://journals.sagepub.com/doi/10.1177/1081286521990418</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1177/1081286521990418" target="_blank" >10.1177/1081286521990418</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains

  • Original language description

    Maxwellian-type rheological models of inelastic effects of creep type at large strains are revisited in relation to inelastic strain gradient theories. In particular, we observe that a dependence of the stored energy density on inelastic strain gradients may lead to spurious hardening effects, preventing the model from accommodating large inelastic slips. The main result of this paper is an alternative inelastic model of creep type, where a higher-order energy contribution is provided by the gradients of the elastic strain and of the plastic strain rate, thus preventing the onset of spurious hardening under large slips. The combination of Kelvin–Voigt damping and Maxwellian creep results in a Jeffreys-type rheological model. The existence of weak solutions is proved by way of a Faedo–Galerkin approximation.

  • 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

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

    Mathematics and Mechanics of Solids

  • ISSN

    1081-2865

  • e-ISSN

    1741-3028

  • Volume of the periodical

    26

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    14

  • Pages from-to

    1483-1497

  • UT code for WoS article

    000681476700001

  • EID of the result in the Scopus database

    2-s2.0-85101083083