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An adaptive variational Quasicontinuum methodology for lattice networks with localized damage

Identifikátory výsledku

  • Kód výsledku v IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00313822" target="_blank" >RIV/68407700:21110/17:00313822 - isvavai.cz</a>

  • Výsledek na webu

    <a href="http://arxiv.org/abs/1604.04754" target="_blank" >http://arxiv.org/abs/1604.04754</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/nme.5518" target="_blank" >10.1002/nme.5518</a>

Alternativní jazyky

  • Jazyk výsledku

    angličtina

  • Název v původním jazyce

    An adaptive variational Quasicontinuum methodology for lattice networks with localized damage

  • Popis výsledku v původním jazyce

    Lattice networks with dissipative interactions can be used to describe the mechanics of discrete mesostructures of materials such as 3D-printed structures and foams. This contribution deals with the crack initiation and propagation in such materials and focuses on an adaptive multiscale approach that captures the spatially evolving fracture. Lattice networks naturally incorporate non-locality, large deformations and dissipative mechanisms taking place inside fracture zones. Because the physically relevant length scales are significantly larger than those of individual interactions, discrete models are computationally expensive. The Quasicontinuum (QC) method is a multiscale approach specifically constructed for discrete models. This method reduces the computational cost by fully resolving the underlying lattice only in regions of interest, while coarsening elsewhere. In this contribution, the (variational) QC is applied to damageable lattices for engineering-scale predictions. To deal with the spatially evolving fracture zone, an adaptive scheme is proposed. Implications induced by the adaptive procedure are discussed from the energy-consistency point of view, and theoretical considerations are demonstrated on two examples. The first one serves as a proof of concept, illustrates the consistency of the adaptive schemes and presents errors in energies. The second one demonstrates the performance of the adaptive QC scheme for a more complex problem.

  • Název v anglickém jazyce

    An adaptive variational Quasicontinuum methodology for lattice networks with localized damage

  • Popis výsledku anglicky

    Lattice networks with dissipative interactions can be used to describe the mechanics of discrete mesostructures of materials such as 3D-printed structures and foams. This contribution deals with the crack initiation and propagation in such materials and focuses on an adaptive multiscale approach that captures the spatially evolving fracture. Lattice networks naturally incorporate non-locality, large deformations and dissipative mechanisms taking place inside fracture zones. Because the physically relevant length scales are significantly larger than those of individual interactions, discrete models are computationally expensive. The Quasicontinuum (QC) method is a multiscale approach specifically constructed for discrete models. This method reduces the computational cost by fully resolving the underlying lattice only in regions of interest, while coarsening elsewhere. In this contribution, the (variational) QC is applied to damageable lattices for engineering-scale predictions. To deal with the spatially evolving fracture zone, an adaptive scheme is proposed. Implications induced by the adaptive procedure are discussed from the energy-consistency point of view, and theoretical considerations are demonstrated on two examples. The first one serves as a proof of concept, illustrates the consistency of the adaptive schemes and presents errors in energies. The second one demonstrates the performance of the adaptive QC scheme for a more complex problem.

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

    <a href="/cs/project/GA14-00420S" target="_blank" >GA14-00420S: Kvazikontuální metody pro diskrétní disipativní soustavy</a><br>

  • Návaznosti

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

Ostatní

  • Rok uplatnění

    2017

  • Kód důvěrnosti údajů

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

Údaje specifické pro druh výsledku

  • Název periodika

    International Journal for Numerical Methods in Engineering

  • ISSN

    0029-5981

  • e-ISSN

    1097-0207

  • Svazek periodika

    112

  • Číslo periodika v rámci svazku

    2

  • Stát vydavatele periodika

    US - Spojené státy americké

  • Počet stran výsledku

    27

  • Strana od-do

    174-200

  • Kód UT WoS článku

    000410680100004

  • EID výsledku v databázi Scopus

    2-s2.0-85016585949