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PROFANT, T. SLÁDEK, J. SLÁDEK, V.
Originální název
Asymptotic solutions for interface cracks between two dissimilar flexoelectric materials
Typ
článek v časopise ve Web of Science, Jimp
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 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.
Klíčová slova
Dielectric material; gradient theory; flexoelectricity; asymptotic solution; mixed FEM
Autoři
PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.
Vydáno
1. 5. 2023
Nakladatel
TAYLOR & FRANCIS INC
Místo
PHILADELPHIA
ISSN
1537-6494
Periodikum
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Číslo
22.6.2023
Stát
Spojené království Velké Británie a Severního Irska
Strany od
112194
Strany do
Strany počet
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" }