Publication detail
Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity: Amplitude factor evaluation
PROFANT, T. SLÁDEK, J. SLÁDEK, V. KOTOUL, M.
English title
Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity: Amplitude factor evaluation
Type
journal article in Web of Science
Language
en
Original abstract
The procedure of assessing the amplitude factors in the asymptotic solution for the interface crack between the materials obeying the isotropic gradient elasticity is developed. The boundary conditions at tip of the crack are applied to assemble the eigenvalue problem from which the stress exponents with the appropriate eigenvectors of the regular and auxiliary solutions are evaluated. The amplitude factors of the asymptotic solution are computed from the two-state integrals in which the regular, auxiliary and particular finite element solution represent the independent equilibrium states. The concept of the two-state integral method is based on Betti's reciprocal theorem, which is frequently utilized in classical fracture mechanics. The present work extends its application to the general fracture problem in strain gradient elasticity.
English abstract
The procedure of assessing the amplitude factors in the asymptotic solution for the interface crack between the materials obeying the isotropic gradient elasticity is developed. The boundary conditions at tip of the crack are applied to assemble the eigenvalue problem from which the stress exponents with the appropriate eigenvectors of the regular and auxiliary solutions are evaluated. The amplitude factors of the asymptotic solution are computed from the two-state integrals in which the regular, auxiliary and particular finite element solution represent the independent equilibrium states. The concept of the two-state integral method is based on Betti's reciprocal theorem, which is frequently utilized in classical fracture mechanics. The present work extends its application to the general fracture problem in strain gradient elasticity.
Keywords in English
dipolar gradient elasticity, asymptotic solution, interface crack, amplitude factor evaluation
Released
01.08.2022
Publisher
ELSEVIER
Location
AMSTERDAM
ISSN
0167-8442
Volume
120
Number
8
Pages from–to
103378–103378
Pages count
17
BIBTEX
@article{BUT178315,
author="Tomáš {Profant} and Ján {Sládek} and Vladimír {Sládek} and Michal {Kotoul},
title="Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity: Amplitude factor evaluation",
year="2022",
volume="120",
number="8",
month="August",
pages="103378--103378",
publisher="ELSEVIER",
address="AMSTERDAM",
issn="0167-8442"
}