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The generalized Kelvin chain-based model for an orthotropic viscoelastic material

Identifikátory výsledku

  • Kód výsledku v IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F24%3APU152302" target="_blank" >RIV/00216305:26110/24:PU152302 - isvavai.cz</a>

  • Nalezeny alternativní kódy

    RIV/62156489:43410/24:43924875

  • Výsledek na webu

    <a href="https://link.springer.com/article/10.1007/s11043-024-09678-4" target="_blank" >https://link.springer.com/article/10.1007/s11043-024-09678-4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11043-024-09678-4" target="_blank" >10.1007/s11043-024-09678-4</a>

Alternativní jazyky

  • Jazyk výsledku

    angličtina

  • Název v původním jazyce

    The generalized Kelvin chain-based model for an orthotropic viscoelastic material

  • Popis výsledku v původním jazyce

    We propose a constitutive material model to describe the rheological (viscoelastic) mechanical response of timber. The viscoelastic model is based on the generalized Kelvin chain applied to the orthotropic material and is compared to the simple approach given by standards. The contribution of this study consists of the algorithmization of the viscoelastic material model of the material applied to the orthotropic constitutive law and implementation into the FEM solver. In the next step, the fitting of the input parameters of the Kelvin chain is described, and at least a material model benchmark and comparison to the approach given by standards were done. The standardized approach is based on the reduction of the material rigidity at the end of the loading period using a creep coefficient, whereas the loading history state variables are not considered when establishing the result for a specific time step. The paper presents the benefits of the rheological model. It also demonstrates the fitting algorithm based on particle swarm optimization and the least squares method, which are essential for the use of the generalized Kelvin chain model. The material model based on the orthotropic generalized Kelvin chain was implemented into the FEM solver for the shell elements. This material model was validated on the presented benchmark tasks, and the influence of the time step size on the accuracy of model results was analyzed.

  • Název v anglickém jazyce

    The generalized Kelvin chain-based model for an orthotropic viscoelastic material

  • Popis výsledku anglicky

    We propose a constitutive material model to describe the rheological (viscoelastic) mechanical response of timber. The viscoelastic model is based on the generalized Kelvin chain applied to the orthotropic material and is compared to the simple approach given by standards. The contribution of this study consists of the algorithmization of the viscoelastic material model of the material applied to the orthotropic constitutive law and implementation into the FEM solver. In the next step, the fitting of the input parameters of the Kelvin chain is described, and at least a material model benchmark and comparison to the approach given by standards were done. The standardized approach is based on the reduction of the material rigidity at the end of the loading period using a creep coefficient, whereas the loading history state variables are not considered when establishing the result for a specific time step. The paper presents the benefits of the rheological model. It also demonstrates the fitting algorithm based on particle swarm optimization and the least squares method, which are essential for the use of the generalized Kelvin chain model. The material model based on the orthotropic generalized Kelvin chain was implemented into the FEM solver for the shell elements. This material model was validated on the presented benchmark tasks, and the influence of the time step size on the accuracy of model results was analyzed.

Klasifikace

  • Druh

    J<sub>imp</sub> - Článek v periodiku v databázi Web of Science

  • CEP obor

  • OECD FORD obor

    20302 - Applied mechanics

Návaznosti výsledku

  • Projekt

  • Návaznosti

    S - Specificky vyzkum na vysokych skolach

Ostatní

  • Rok uplatnění

    2024

  • Kód důvěrnosti údajů

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

Údaje specifické pro druh výsledku

  • Název periodika

    MECHANICS OF TIME-DEPENDENT MATERIALS

  • ISSN

    1385-2000

  • e-ISSN

    1573-2738

  • Svazek periodika

    28

  • Číslo periodika v rámci svazku

    3

  • Stát vydavatele periodika

    NL - Nizozemsko

  • Počet stran výsledku

    21

  • Strana od-do

    1639-1659

  • Kód UT WoS článku

    001173370800001

  • EID výsledku v databázi Scopus

    2-s2.0-85186539675