Publication detail

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

VALA, J. TOMÁŠ, J.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

quasi-brittle composites; damage evolution; computational modelling

Authors

VALA, J.; TOMÁŠ, J.

Released

11. 4. 2025

Publisher

MDPI

Location

Basel

ISBN

2076-3417

Periodical

Applied Sciences - Basel

Year of study

15

Number

8

State

Swiss Confederation

Pages from

1

Pages to

21

Pages count

21

URL

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

Full text in the Digital Library

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",
  issn="2076-3417",
  url="https://www.mdpi.com/2076-3417/15/8/4214"
}