Publication result detail

Non-local damage modelling of quasi-brittle composites

VALA, J.; KOZÁK, V.

Original Title

Non-local damage modelling of quasi-brittle composites

English Title

Non-local damage modelling of quasi-brittle composites

Type

WoS Article

Original Abstract

Most building materials can be characterized as quasi-brittle composites with a cementitious matrix, reinforced by some stiffening particles or elements. Their massive exploitation motivates the development of numerical modelling and simulation of behaviour of such material class under mechanical, thermal, etc. loads, including the evaluation of the risk of initiation and development of micro- and macro-fracture. This paper demonstrates the possibility of certain deterministic prediction, applying the dynamical approach using the Kelvin viscoelastic model and cohesive interface properties. The existence and convergence results rely on the semilinear computational scheme coming from the method of discretization in time, using several types of Rothe sequences, coupled with the extended finite element method (XFEM) for practical calculations. Numerical examples refer to cementitious samples reinforced by short steel fibres, with increasing number of applications as constructive parts in civil engineering.

English abstract

Most building materials can be characterized as quasi-brittle composites with a cementitious matrix, reinforced by some stiffening particles or elements. Their massive exploitation motivates the development of numerical modelling and simulation of behaviour of such material class under mechanical, thermal, etc. loads, including the evaluation of the risk of initiation and development of micro- and macro-fracture. This paper demonstrates the possibility of certain deterministic prediction, applying the dynamical approach using the Kelvin viscoelastic model and cohesive interface properties. The existence and convergence results rely on the semilinear computational scheme coming from the method of discretization in time, using several types of Rothe sequences, coupled with the extended finite element method (XFEM) for practical calculations. Numerical examples refer to cementitious samples reinforced by short steel fibres, with increasing number of applications as constructive parts in civil engineering.

Keywords

quasi-brittle composite; steel fibre concrete; micro- and macro-fracture; nonlocal viscoelasticity; cohesive interface; partial differential equations of evolution; method of discretization in time; extended finite element method

Key words in English

quasi-brittle composite; steel fibre concrete; micro- and macro-fracture; nonlocal viscoelasticity; cohesive interface; partial differential equations of evolution; method of discretization in time; extended finite element method

Authors

VALA, J.; KOZÁK, V.

RIV year

2022

Released

01.07.2021

Publisher

Springer Nature

Location

London

ISBN

0862-7940

Periodical

Applications of Mathematics

Volume

66

Number

6

State

Czech Republic

Pages from

815

Pages to

836

Pages count

22

URL

https://link.springer.com/article/10.21136/AM.2021.0281-20

BibTex

@article{BUT176080,
  author="Jiří {Vala} and Vladislav {Kozák}",
  title="Non-local damage modelling of quasi-brittle composites",
  journal="Applications of Mathematics",
  year="2021",
  volume="66",
  number="6",
  pages="815--836",
  doi="10.21136/AM.2021.0281-20",
  issn="0862-7940",
  url="https://link.springer.com/article/10.21136/AM.2021.0281-20"
}