Detail publikace

The flexoelectric effect for interface cracks between two dissimilar materials

PROFANT, T. SLÁDEK, J. SLÁDEK, V.

Anglický název

The flexoelectric effect for interface cracks between two dissimilar materials

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

en

Originální abstrakt

It is developed the procedure of the assessment of the amplitude factors in the asymptotic solution for the interface crack between two flexoelectric materials. The stress exponents with the appropriate eigenvectors of the regular and auxiliary solutions are evaluated from the eigenvalue problem assembled from the boundary conditions prevailing at the tip of the crack. The amplitude factors of the asymptotic solution are computed from the two-state integrals in which the regular, auxiliary, and finite element solution represent the independent equilibrium states. The obtained results show the capability of the two-state integrals to extract the dominant terms of the asymptotic solution from the weak solution of the fracture problem represented by the finite element method. The amplitude factors representing the most singular terms of the asymptotic solution at the crack tip are quantities playing an important role in the problems of crack stability criterions.

Anglický abstrakt

It is developed the procedure of the assessment of the amplitude factors in the asymptotic solution for the interface crack between two flexoelectric materials. The stress exponents with the appropriate eigenvectors of the regular and auxiliary solutions are evaluated from the eigenvalue problem assembled from the boundary conditions prevailing at the tip of the crack. The amplitude factors of the asymptotic solution are computed from the two-state integrals in which the regular, auxiliary, and finite element solution represent the independent equilibrium states. The obtained results show the capability of the two-state integrals to extract the dominant terms of the asymptotic solution from the weak solution of the fracture problem represented by the finite element method. The amplitude factors representing the most singular terms of the asymptotic solution at the crack tip are quantities playing an important role in the problems of crack stability criterions.

Klíčová slova anglicky

Dielectric Material, Gradient Theory, Flexoelectricity, Asymptotic Solution, Mixed FEM

Vydáno

01.09.2023

Nakladatel

Materials Research Forum LLC

Místo

Millersville, PA

ISBN

9781644902585

ISSN

2474-3941

Kniha

Advanced Topics in Mechanics of Materials, Structures and Construction AToMech1-2023

Ročník

31

Číslo edice

31

Strany od–do

99–108

Počet stran

10

BIBTEX


@inproceedings{BUT184689,
  author="Tomáš {Profant} and Ján {Sládek} and Vladimír {Sládek},
  title="The flexoelectric effect for interface cracks between two dissimilar materials",
  booktitle="Advanced Topics in Mechanics of Materials, Structures and Construction
AToMech1-2023",
  year="2023",
  volume="31",
  month="September",
  pages="99--108",
  publisher="Materials Research Forum LLC",
  address="Millersville, PA",
  isbn="9781644902585",
  issn="2474-3941"
}