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  • Integral-type nonlocal damage models describe the fracture process zones by regular strain profiles insensitive to the size of finite elements, which is achieved by incorporating weighted spatial averages of certain state variables into the stress strain equations. However, there is no consensus yet how the influence of boundaries should be taken into account by the averaging procedures. In the present study, nonlocal damage models with different averaging procedures are applied to the modelling of fracture in specimens with various boundary types. Firstly, the nonlocal models are calibrated by fitting load displacement curves and dissipated energy profiles for direct tension to the results of mesoscale analyses performed using a discrete model. These analyses are set up so that the results are independent of boundaries. Then, the models are applied to two-dimensional simulations of three-point bending tests with a sharp notch, a V-type notch, and a smooth boundary without a notch. The performance of the nonlocal approaches in modelling of fracture near nonconvex boundaries is evaluated by comparison of load displacement curves and dissipated energy profiles along the beam ligament with the results of mesoscale simulations. As an alternative approach, elastoplasticity combined with nonlocal and over-nonlocal damage is also included in the comparative study.
  • Integral-type nonlocal damage models describe the fracture process zones by regular strain profiles insensitive to the size of finite elements, which is achieved by incorporating weighted spatial averages of certain state variables into the stress strain equations. However, there is no consensus yet how the influence of boundaries should be taken into account by the averaging procedures. In the present study, nonlocal damage models with different averaging procedures are applied to the modelling of fracture in specimens with various boundary types. Firstly, the nonlocal models are calibrated by fitting load displacement curves and dissipated energy profiles for direct tension to the results of mesoscale analyses performed using a discrete model. These analyses are set up so that the results are independent of boundaries. Then, the models are applied to two-dimensional simulations of three-point bending tests with a sharp notch, a V-type notch, and a smooth boundary without a notch. The performance of the nonlocal approaches in modelling of fracture near nonconvex boundaries is evaluated by comparison of load displacement curves and dissipated energy profiles along the beam ligament with the results of mesoscale simulations. As an alternative approach, elastoplasticity combined with nonlocal and over-nonlocal damage is also included in the comparative study. (en)
Title
  • Evaluation of Nonlocal Approaches for Modelling Fracture Near Nonconvex Boundaries
  • Evaluation of Nonlocal Approaches for Modelling Fracture Near Nonconvex Boundaries (en)
skos:prefLabel
  • Evaluation of Nonlocal Approaches for Modelling Fracture Near Nonconvex Boundaries
  • Evaluation of Nonlocal Approaches for Modelling Fracture Near Nonconvex Boundaries (en)
skos:notation
  • RIV/68407700:21110/14:00220032!RIV15-GA0-21110___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP108/11/1243)
http://linked.open...iv/cisloPeriodika
  • 18
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 15401
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  • RIV/68407700:21110/14:00220032
http://linked.open...riv/jazykVysledku
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  • Concrete; Lattice; Fracture; Damage mechanics; Nonlocal (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [328ED7B0C2F6]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Solids and Structures
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 51
http://linked.open...iv/tvurceVysledku
  • Horák, Martin
  • Jirásek, Milan
  • Grassl, P.
  • Xenos, D.
http://linked.open...ain/vavai/riv/wos
  • 000340141100022
issn
  • 0020-7683
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.ijsolstr.2014.05.023
http://localhost/t...ganizacniJednotka
  • 21110
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