Detail publikace

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.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

1. 5. 2023

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

OXFORD

ISSN

1879-2146

Periodikum

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Ročník

269

Číslo

1.5.2023

Stát

Spojené království Velké Británie a Severního Irska

Strany od

112194

Strany do

112194

Strany počet

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"
}