Publication result detail

On a computational approach to micro- and macro-modelling of damage in brittle and quasi-brittle materials

VALA, J.; KOZÁK, V.; JAROŠOVÁ, P.

Original Title

On a computational approach to micro- and macro-modelling of damage in brittle and quasi-brittle materials

English Title

On a computational approach to micro- and macro-modelling of damage in brittle and quasi-brittle materials

Type

Scopus Article

Original Abstract

Computational modelling of damage in brittle and quasi-brittle materials needs some coupling between micro- and macroscopic crack initiation and evolution, up to their non-negligible softening behaviour. Most such ap-proaches contain ad hoc evaluations, with some physical and engineering motivations, namely those connected with massive application of steelfibre-reinforced concrete and similar composites in building projects, but without any propermathematical existence and convergence analysis for the time development of damage. This paper presents a possibility of such deterministic anal-ysis on a selected model problem of structural dynamics, supplied by comments to useful direc-tions of generalization. Several application examples document the feasibility of such approach, up to its software implementation and real data validation.

English abstract

Computational modelling of damage in brittle and quasi-brittle materials needs some coupling between micro- and macroscopic crack initiation and evolution, up to their non-negligible softening behaviour. Most such ap-proaches contain ad hoc evaluations, with some physical and engineering motivations, namely those connected with massive application of steelfibre-reinforced concrete and similar composites in building projects, but without any propermathematical existence and convergence analysis for the time development of damage. This paper presents a possibility of such deterministic anal-ysis on a selected model problem of structural dynamics, supplied by comments to useful direc-tions of generalization. Several application examples document the feasibility of such approach, up to its software implementation and real data validation.

Keywords

nonlocal viscoelasticity; brittle and quasi-brittle materials; micro- and macro-fracture; extended finite element method; method of discretization in time; Rothe sequences;

Key words in English

nonlocal viscoelasticity; brittle and quasi-brittle materials; micro- and macro-fracture; extended finite element method; method of discretization in time; Rothe sequences;

Authors

VALA, J.; KOZÁK, V.; JAROŠOVÁ, P.

RIV year

2021

Released

20.10.2020

Publisher

NAUN

Location

Salem (Oregon, USA)

ISBN

1998-4448

Periodical

International Journal of Mechanics

Volume

14

Number

1

State

United States of America

Pages from

185

Pages to

197

Pages count

13

URL

https://www.naun.org/cms.action?id=23199

Full text in the Digital Library

http://hdl.handle.net/11012/196684

BibTex

@article{BUT167385,
  author="Jiří {Vala} and Vladislav {Kozák} and Petra {Jarošová}",
  title="On a computational approach to micro- and macro-modelling of damage in brittle and quasi-brittle materials",
  journal="International Journal of Mechanics",
  year="2020",
  volume="14",
  number="1",
  pages="185--197",
  doi="10.46300/9104.2020.14.25",
  issn="1998-4448",
  url="https://www.naun.org/cms.action?id=23199"
}

Documents

a502003-dah