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Mesh objective stochastic simulations of quasibrittle fracture

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F22%3APU144468" target="_blank" >RIV/00216305:26110/22:PU144468 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0022509621003501" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022509621003501</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmps.2021.104745" target="_blank" >10.1016/j.jmps.2021.104745</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Mesh objective stochastic simulations of quasibrittle fracture

  • Original language description

    Continuum finite element (FE) modeling of damage and failure of quasibrittle structures suffers from the spurious mesh sensitivity due to strain localization. This issue has been addressed for deterministic analysis through the development of localization limiters. This study proposes a mechanism-based model to mitigate the mesh sensitivity in stochastic FE simulations of quasibrittle fracture. The interest is placed on the analysis of large-size structures, where the mesh size is conveniently chosen to be larger than the width of the fracture process zone as well as the correlation length of the random fields of constitutive properties. The present model is formulated within the framework of continuum damage mechanics. Two localization parameters are introduced to describe the evolution of the damage pattern of each finite element. These parameters are used to guide the energy regularization of the constitutive law, as well as to formulate the mesh-dependent probability distributions of constitutive properties. Depending on the prevailing damage pattern, different energy regularization schemes and mesh dependence of the probability distribution functions are used in the constitutive law. The model is applied to simulate the stochastic failure behavior of quasibrittle structures of different geometries featuring different failure processes including damage initiation, localization, and propagation. It is shown that using fixed probability distribution functions of constitutive properties could lead to strong mesh dependence of the prediction of the mean and variance of the structural load capacity. The probability distribution functions of constitutive properties must be linked to the damage pattern, which may evolve during the failure process. Such a mechanism-based modeling of the probability distributions of constitutive properties is essential for mitigating the spurious mesh sensitivity in stochastic FE analysis of quasibrittle fracture.

  • 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

    20102 - Construction engineering, Municipal and structural engineering

Result continuities

  • Project

    <a href="/en/project/GA19-12197S" target="_blank" >GA19-12197S: Coupled Discrete Meso-scale Model for Mechanics and Transport Phenomena in Concrete</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of the Mechanics and Physics of Solids

  • ISSN

    0022-5096

  • e-ISSN

    1873-4782

  • Volume of the periodical

    159

  • Issue of the periodical within the volume

    104745

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    „104745-1“-„104745-16“

  • UT code for WoS article

    000780428800003

  • EID of the result in the Scopus database

    2-s2.0-85122592525