Publication detail

The flexoelectric effect for interface cracks between two dissimilar materials

PROFANT, T. SLÁDEK, J. SLÁDEK, V.

Original Title

The flexoelectric effect for interface cracks between two dissimilar materials

Type

conference paper

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 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.

Keywords

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

Authors

PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.

Released

1. 9. 2023

Publisher

Materials Research Forum LLC

Location

Millersville, PA

ISBN

9781644902585

Book

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

Edition

Materials Research Proceedings

Edition number

31

ISBN

2474-3941

Periodical

Materials Research Proceedings

Year of study

31

State

United States of America

Pages from

99

Pages to

108

Pages count

10

URL

https://www.mrforum.com/product/9781644902592-11/

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",
  series="Materials Research Proceedings",
  journal="Materials Research Proceedings",
  volume="31",
  number="31",
  pages="99--108",
  publisher="Materials Research Forum LLC",
  address="Millersville, PA",
  doi="10.21741/9781644902592-11",
  isbn="9781644902585",
  issn="2474-3941",
  url="https://www.mrforum.com/product/9781644902592-11/"
}