Detail publikačního výsledku

Mitigation of mesh dependency in probabilistic finite element simulation of quasibrittle fracture

ELIÁŠ, J.; LE, J.

Originální název

Mitigation of mesh dependency in probabilistic finite element simulation of quasibrittle fracture

Anglický název

Mitigation of mesh dependency in probabilistic finite element simulation of quasibrittle fracture

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The contribution introduces probabilistic variant of the crack band model to mitigate mesh dependency issues in probabilistic finite element simulations of quasibrittle fracture. The probabilistic crack band model is limited to the element size larger than the localization band. It introduces transition from the weakest link theory (crack may choose freely where to initiate and propagate within the element) to standard crack band model with only one possible crack band position within the element. The transition is driven by level of localization reached by the element and its surroundings. The probability density function of the elemental strength and energy dissipation is modified accordingly. The model is applied in simulations of prisms loaded under tension, bending and three-point-bending. The obtained statistical characteristics of the results are nearly mesh independent proving applicability of the probabilistic crack band model.

Anglický abstrakt

The contribution introduces probabilistic variant of the crack band model to mitigate mesh dependency issues in probabilistic finite element simulations of quasibrittle fracture. The probabilistic crack band model is limited to the element size larger than the localization band. It introduces transition from the weakest link theory (crack may choose freely where to initiate and propagate within the element) to standard crack band model with only one possible crack band position within the element. The transition is driven by level of localization reached by the element and its surroundings. The probability density function of the elemental strength and energy dissipation is modified accordingly. The model is applied in simulations of prisms loaded under tension, bending and three-point-bending. The obtained statistical characteristics of the results are nearly mesh independent proving applicability of the probabilistic crack band model.

Klíčová slova

Localization; Finite elements; Mesh dependency; Crack band; Spatial randomness

Klíčová slova v angličtině

Localization; Finite elements; Mesh dependency; Crack band; Spatial randomness

Autoři

ELIÁŠ, J.; LE, J.

Rok RIV

2021

Vydáno

17.05.2017

Místo

Online

Kniha

Engineering Mechanics

ISSN

1805-8248

Periodikum

Engineering Mechanics

Svazek

2017

Číslo

1

Stát

Česká republika

Strany od

302

Strany do

305

Strany počet

4

BibTex

@inproceedings{BUT169983,
  author="Jan {Eliáš} and Jia-Liang {Le}",
  title="Mitigation of mesh dependency in probabilistic finite element simulation of quasibrittle fracture",
  booktitle="Engineering Mechanics",
  year="2017",
  journal="Engineering Mechanics",
  volume="2017",
  number="1",
  pages="302--305",
  address="Online",
  issn="1805-8248"
}