Publication result detail

Numerical approaches to the modelling of quasi-brittle crack propagation

VALA, J.

Original Title

Numerical approaches to the modelling of quasi-brittle crack propagation

English Title

Numerical approaches to the modelling of quasi-brittle crack propagation

Type

WoS Article

Original Abstract

Computational analysis of quasi-brittle fracture in cement-based and similar composites, supplied by various types of rod, fibre, etc. reinforce-ment, is crucial for the prediction of their load bearing ability and durability, but rather difficult because of the risk of initiation of zones of microscopic defects, followed by formation and propagation of a large number of macro-scopic cracks. A reasonable and complete deterministic description of relevant physical processes is rarely available. Thus, due to significance of such mate-rials in the design and construction of buildings, semi-heuristic computational models must be taken into consideration. These models generate mathematical problems, whose solvability is not transparent frequently, which limits the credibility of all results of ad hoc designed numerical simulations. In this short paper such phenomena are demonstrated on a simple model problem, covering both micro-and macro-cracking, with references to needful generalizations and more realistic computational settings.

English abstract

Computational analysis of quasi-brittle fracture in cement-based and similar composites, supplied by various types of rod, fibre, etc. reinforce-ment, is crucial for the prediction of their load bearing ability and durability, but rather difficult because of the risk of initiation of zones of microscopic defects, followed by formation and propagation of a large number of macro-scopic cracks. A reasonable and complete deterministic description of relevant physical processes is rarely available. Thus, due to significance of such mate-rials in the design and construction of buildings, semi-heuristic computational models must be taken into consideration. These models generate mathematical problems, whose solvability is not transparent frequently, which limits the credibility of all results of ad hoc designed numerical simulations. In this short paper such phenomena are demonstrated on a simple model problem, covering both micro-and macro-cracking, with references to needful generalizations and more realistic computational settings.

Keywords

computational mechanics; quasi-brittle fracture; nonlocal elasticity; smeared damage; extended finite element method

Key words in English

computational mechanics; quasi-brittle fracture; nonlocal elasticity; smeared damage; extended finite element method

Authors

VALA, J.

RIV year

2024

Released

24.02.2023

Publisher

Masaryk University, Faculty of Science

Location

Brno

ISBN

0044-8753

Periodical

ARCHIVUM MATHEMATICUM

Volume

59

Number

3

State

Czech Republic

Pages from

295

Pages to

303

Pages count

9

URL

https://emis.de/journals/AM/23-3/Vala.pdf

BibTex

@article{BUT180708,
  author="Jiří {Vala}",
  title="Numerical approaches to the modelling of quasi-brittle crack propagation",
  journal="ARCHIVUM MATHEMATICUM",
  year="2023",
  volume="59",
  number="3",
  pages="295--303",
  doi="10.5817/AM2023-3-295",
  issn="0044-8753",
  url="https://emis.de/journals/AM/23-3/Vala.pdf"
}