Publication 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

journal article in Scopus

Language

en

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;

Released

20.10.2020

Publisher

NAUN

Location

Salem (Oregon, USA)

ISBN

1998-4448

Periodical

International Journal of Mechanics

Year of study

14

Number

1

State

US

Pages from

185

Pages to

197

Pages count

13

URL

Documents

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",
  annote="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.",
  address="NAUN",
  chapter="167385",
  doi="10.46300/9104.2020.14.25",
  howpublished="online",
  institution="NAUN",
  number="1",
  volume="14",
  year="2020",
  month="october",
  pages="185--197",
  publisher="NAUN",
  type="journal article in Scopus"
}