Detail publikačního výsledku

Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity: Amplitude factor evaluation

PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.; KOTOUL, M.

Originální název

Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity: Amplitude factor evaluation

Anglický název

Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity: Amplitude factor evaluation

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

dipolar gradient elasticity, asymptotic solution, interface crack, amplitude factor evaluation

Klíčová slova v angličtině

dipolar gradient elasticity, asymptotic solution, interface crack, amplitude factor evaluation

Autoři

PROFANT, T.; SLÁDEK, J.; SLÁDEK, V.; KOTOUL, M.

Rok RIV

2022

Vydáno

01.08.2022

Nakladatel

ELSEVIER

Místo

AMSTERDAM

ISSN

0167-8442

Periodikum

THEORETICAL AND APPLIED FRACTURE MECHANICS

Svazek

120

Číslo

8

Stát

Nizozemsko

Strany od

103378

Strany do

103378

Strany počet

17

URL

https://www.sciencedirect.com/science/article/pii/S0167844222001264

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",
  journal="THEORETICAL AND APPLIED FRACTURE MECHANICS",
  year="2022",
  volume="120",
  number="8",
  pages="103378--103378",
  doi="10.1016/j.tafmec.2022.103378",
  issn="0167-8442",
  url="https://www.sciencedirect.com/science/article/pii/S0167844222001264"
}