Publication detail

Asymptotic solutions for interface cracks between two dissimilar flexoelectric materials

PROFANT, T. SLÁDEK, J. SLÁDEK, V.

Original Title

Asymptotic solutions for interface cracks between two dissimilar flexoelectric materials

Type

journal article in Web of Science

Language

English

Original Abstract

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 represents 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.

Keywords

Dielectric material; gradient theory; flexoelectricity; asymptotic solution; mixed FEM

Authors

PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.

Released

1. 5. 2023

Publisher

TAYLOR & FRANCIS INC

Location

PHILADELPHIA

ISBN

1537-6494

Periodical

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES

Number

22.6.2023

State

United Kingdom of Great Britain and Northern Ireland

Pages from

112194

Pages to

112194

Pages count

15

URL

https://www.tandfonline.com/doi/full/10.1080/15376494.2023.2226136

BibTex

@article{BUT184018,
  author="Tomáš {Profant} and Ján {Sládek} and Vladimír {Sládek}",
  title="Asymptotic solutions for interface cracks between two dissimilar flexoelectric materials",
  journal="MECHANICS OF ADVANCED MATERIALS AND STRUCTURES",
  year="2023",
  number="22.6.2023",
  pages="15",
  doi="10.1080/15376494.2023.2226136",
  issn="1537-6494",
  url="https://www.tandfonline.com/doi/full/10.1080/15376494.2023.2226136"
}