Publication result detail

Probabilistic multiple cracking model of brittle-matrix composite based on a one-by-one crack tracing algorithm

CHUDOBA, R.; LI, Y.; RYPL, R.; SPARTALI, H.; VOŘECHOVSKÝ, M.

Original Title

Probabilistic multiple cracking model of brittle-matrix composite based on a one-by-one crack tracing algorithm

English Title

Probabilistic multiple cracking model of brittle-matrix composite based on a one-by-one crack tracing algorithm

Type

WoS Article

Original Abstract

The paper describes a probabilistic model capturing the multiple-cracking behavior of unidirectional brittle-matrix composites loaded in tension. The approach to modeling of composite fragmentation introduces two salient features that enhance both efficiency and flexibility compared to existing simulation methods: First, the algorithm identifies the emerging cracks one by one within a minimum number of load increments. Second, the crack-tracing algorithm is based on an abstract description of a crack bridge behavior. As a result, it is possible to combine the crack-tracing algorithm with a wide variety of crack bridge models, i.e. non-linear, deterministic or probabilistic. In this way, specific phenomena of bond behavior in different types of composites can be accounted for. The random nature of matrix cracking is reproduced using a random field simulation of the matrix strength. The model is verified by reproducing analytical results available for constant bond-slip law. The feasibility and robustness of the algorithm is demonstrated using an interactive web application that is directly executable from within a public github.com repository. (c) 2020 Elsevier Inc. All rights reserved.

English abstract

The paper describes a probabilistic model capturing the multiple-cracking behavior of unidirectional brittle-matrix composites loaded in tension. The approach to modeling of composite fragmentation introduces two salient features that enhance both efficiency and flexibility compared to existing simulation methods: First, the algorithm identifies the emerging cracks one by one within a minimum number of load increments. Second, the crack-tracing algorithm is based on an abstract description of a crack bridge behavior. As a result, it is possible to combine the crack-tracing algorithm with a wide variety of crack bridge models, i.e. non-linear, deterministic or probabilistic. In this way, specific phenomena of bond behavior in different types of composites can be accounted for. The random nature of matrix cracking is reproduced using a random field simulation of the matrix strength. The model is verified by reproducing analytical results available for constant bond-slip law. The feasibility and robustness of the algorithm is demonstrated using an interactive web application that is directly executable from within a public github.com repository. (c) 2020 Elsevier Inc. All rights reserved.

Keywords

Probabilistic modeling; Strain hardening; Matrix fragmentation; Uniaxial tensile test; Brittle-matrix composite

Key words in English

Probabilistic modeling; Strain hardening; Matrix fragmentation; Uniaxial tensile test; Brittle-matrix composite

Authors

CHUDOBA, R.; LI, Y.; RYPL, R.; SPARTALI, H.; VOŘECHOVSKÝ, M.

RIV year

2022

Released

01.07.2021

Publisher

ELSEVIER SCIENCE INC

Location

NEW YORK

ISBN

0307-904X

Periodical

APPLIED MATHEMATICAL MODELLING

Volume

92

Number

1

State

United States of America

Pages from

315

Pages to

332

Pages count

18

URL

https://doi.org/10.1016/j.apm.2020.10.041

BibTex

@article{BUT175179,
  author="Rostislav {Chudoba} and Yingxiong {Li} and Rostislav {Rypl} and Homam {Spartali} and Miroslav {Vořechovský}",
  title="Probabilistic multiple cracking model of brittle-matrix composite based on a one-by-one crack tracing algorithm",
  journal="APPLIED MATHEMATICAL MODELLING",
  year="2021",
  volume="92",
  number="1",
  pages="315--332",
  doi="10.1016/j.apm.2020.10.041",
  issn="0307-904X",
  url="https://doi.org/10.1016/j.apm.2020.10.041"
}

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