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.

Original 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

English

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.

Keywords

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

Authors

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

Released

1. 8. 2022

Publisher

ELSEVIER

Location

AMSTERDAM

ISBN

0167-8442

Periodical

Theoretical and Applied Fracture Mechanics

Year of study

120

Number

8

State

Kingdom of the Netherlands

Pages from

103378

Pages to

103378

Pages count

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="17",
  doi="10.1016/j.tafmec.2022.103378",
  issn="0167-8442",
  url="https://www.sciencedirect.com/science/article/pii/S0167844222001264"
}