Publication detail

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

ELIÁŠ, J. LE, J.

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

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

Authors

ELIÁŠ, J.; LE, J.

Released

17. 5. 2017

Location

Online

ISBN

1805-8248

Periodical

Engineering Mechanics ....

Year of study

2017

Number

1

State

Czech Republic

Pages from

302

Pages to

305

Pages count

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"
}