Detail publikace

Non-local damage modelling of quasi-brittle composites

VALA, J. KOZÁK, V.

Originální název

Non-local damage modelling of quasi-brittle composites

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

VALA, J.; KOZÁK, V.

Vydáno

1. 7. 2021

Nakladatel

Springer Nature

Místo

London

ISSN

0862-7940

Periodikum

APPLICATIONS OF MATHEMATICS

Ročník

66

Číslo

6

Stát

Česká republika

Strany od

815

Strany do

836

Strany počet

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"
}