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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU144851" target="_blank" >RIV/00216305:26210/22:PU144851 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0167844222001264" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167844222001264</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.tafmec.2022.103378" target="_blank" >10.1016/j.tafmec.2022.103378</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20302 - Applied mechanics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Theoretical and Applied Fracture Mechanics

ISSN

0167-8442

e-ISSN

1872-7638

Svazek periodika

120

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

17

Strana od-do

103378-103378

Kód UT WoS článku

000803883500004

EID výsledku v databázi Scopus

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