Detail publikačního výsledku

Damage behaviour of quasi-brittle composites: mathematical and computational aspects

VALA, J.; TOMÁŠ, J.

Originální název

Damage behaviour of quasi-brittle composites: mathematical and computational aspects

Anglický název

Damage behaviour of quasi-brittle composites: mathematical and computational aspects

Druh

Článek WoS

Originální abstrakt

In the present paper, an evaluation of the damage behaviour of quasi-brittle composites exposed to mechanical, thermal, and other loads is studied by means of viscoelastic and/or viscoplastic material models, applying some non-local regularisation techniques to the initiation and development of damages. The methods above are presented as a strong tool for a deeper understanding of material structures in miscellaneous engineering disciplines like civil, mechanical, and many others. Nevertheless, all of the software packages reflect certain compromises between the need for effective computational tools, with parameters obtained from inexpensive experiments, within the possibilities and the complexity of both physical and geometrical descriptions of structure deformation within processes. The article is devoted to the mathematical aspects regarding a considerably wide class of computational modelling problems, emphasising the following ones: (i) the existence and the uniqueness of solutions of engineering problems formulated in terms of the deterministic initial and boundary value problems of partial differential equations theory; (ii) the problems of convergence of computational algorithms applied to (i). Both aspects have numerous references to possible generalisations and investigations connected with open problems.

Anglický abstrakt

In the present paper, an evaluation of the damage behaviour of quasi-brittle composites exposed to mechanical, thermal, and other loads is studied by means of viscoelastic and/or viscoplastic material models, applying some non-local regularisation techniques to the initiation and development of damages. The methods above are presented as a strong tool for a deeper understanding of material structures in miscellaneous engineering disciplines like civil, mechanical, and many others. Nevertheless, all of the software packages reflect certain compromises between the need for effective computational tools, with parameters obtained from inexpensive experiments, within the possibilities and the complexity of both physical and geometrical descriptions of structure deformation within processes. The article is devoted to the mathematical aspects regarding a considerably wide class of computational modelling problems, emphasising the following ones: (i) the existence and the uniqueness of solutions of engineering problems formulated in terms of the deterministic initial and boundary value problems of partial differential equations theory; (ii) the problems of convergence of computational algorithms applied to (i). Both aspects have numerous references to possible generalisations and investigations connected with open problems.

Klíčová slova

quasi-brittle composites; damage evolution; computational modelling

Klíčová slova v angličtině

quasi-brittle composites; damage evolution; computational modelling

Autoři

VALA, J.; TOMÁŠ, J.

Rok RIV

2025

Vydáno

11.04.2025

Nakladatel

MDPI

Místo

Basel

ISSN

2076-3417

Periodikum

Applied Sciences-Basel

Svazek

15

Číslo

8

Stát

Švýcarská konfederace

Strany od

1

Strany do

21

Strany počet

21

URL

https://www.mdpi.com/2076-3417/15/8/4214

Plný text v Digitální knihovně

http://hdl.handle.net/11012/251052

BibTex

@article{BUT197646,
  author="Jiří {Vala} and Jiří {Tomáš}",
  title="Damage behaviour of quasi-brittle composites: mathematical and computational aspects",
  journal="Applied Sciences-Basel",
  year="2025",
  volume="15",
  number="8",
  pages="1--21",
  doi="10.3390/app15084214",
  url="https://www.mdpi.com/2076-3417/15/8/4214"
}