Publication detail

Assessment of amplitude factors of asymptotic expansion at crack tip in flexoelectric solid under mode I and II loadings

PROFANT, T. SLÁDEK, J. SLÁDEK, V. KOTOUL, M.

Original Title

Assessment of amplitude factors of asymptotic expansion at crack tip in flexoelectric solid under mode I and II loadings

Type

journal article in Web of Science

Language

English

Original Abstract

The direct flexoelectric effect is a consequence of the polarization of the material, which is proportional to the strain gradients. The strain gradients are prominent near material defects, especially at the crack tips, where the flexoelectric effect redistributes the stress field and consequently influences the crack propagation. The flexoelectricity is a size dependent effect, i.e. it depends on an internal material length parameter as the additional material characteristic. This fact makes the equilibrium, constitutive, and boundary equations complicated as well as the asymptotic solution at the crack tip contrary to the asymptotic solution in the linear elastic fracture mechanics. The matched asymptotic expansion method is applied to derive the expressions for the amplitude factors that appear in the flexoelectric asymptotic solution for the crack as functions of the stress intensity factors in the loadings of mode I or mode II. The application of the matched asymptotic expansion method is conditioned by the knowledge of the so-called boundary layer, which is evaluated from the energetic criteria at the crack tip.

Keywords

Direct flexoelectricity; Gradient theory; Crack; Asymptotic expansion; And amplitude factors

Authors

PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.; KOTOUL, M.

Released

1. 5. 2023

Publisher

PERGAMON-ELSEVIER SCIENCE LTD

Location

OXFORD

ISBN

1879-2146

Periodical

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Year of study

269

Number

1.5.2023

State

United Kingdom of Great Britain and Northern Ireland

Pages from

112194

Pages to

112194

Pages count

22

URL

https://www.sciencedirect.com/science/article/pii/S0020768323000914?via%3Dihub

BibTex

@article{BUT184016,
  author="Tomáš {Profant} and Ján {Sládek} and Vladimír {Sládek} and Michal {Kotoul}",
  title="Assessment of amplitude factors of asymptotic expansion at crack tip in flexoelectric solid under mode I and II loadings",
  journal="INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES",
  year="2023",
  volume="269",
  number="1.5.2023",
  pages="22",
  doi="10.1016/j.ijsolstr.2023.112194",
  issn="1879-2146",
  url="https://www.sciencedirect.com/science/article/pii/S0020768323000914?via%3Dihub"
}