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PROFANT, T. SLÁDEK, J. SLÁDEK, V.
Originální název
The flexoelectric effect for interface cracks between two dissimilar materials
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
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.
Klíčová slova
Dielectric Material, Gradient Theory, Flexoelectricity, Asymptotic Solution, Mixed FEM
Autoři
PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.
Vydáno
1. 9. 2023
Nakladatel
Materials Research Forum LLC
Místo
Millersville, PA
ISBN
9781644902585
Kniha
Advanced Topics in Mechanics of Materials, Structures and Construction AToMech1-2023
Edice
Materials Research Proceedings
Číslo edice
31
ISSN
2474-3941
Periodikum
Ročník
Stát
Spojené státy americké
Strany od
99
Strany do
108
Strany počet
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/" }