Assessment of amplitude factors of asymptotic expansion at crack tip in flexoelectric solid under mode I and II loadings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU148519" target="_blank" >RIV/00216305:26210/23:PU148519 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0020768323000914?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020768323000914?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijsolstr.2023.112194" target="_blank" >10.1016/j.ijsolstr.2023.112194</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Assessment of amplitude factors of asymptotic expansion at crack tip in flexoelectric solid under mode I and II loadings

Popis výsledku v původním jazyce

The direct flexoelectric effect is a consequence of the polarization of the material, which is proportional to the strain gradients. The strain gradients are prominent near material defects, especially at the crack tips, where the flexoelectric effect redistributes the stress field and consequently influences the crack propagation. The flexoelectricity is a size dependent effect, i.e. it depends on an internal material length parameter as the additional material characteristic. This fact makes the equilibrium, constitutive, and boundary equations complicated as well as the asymptotic solution at the crack tip contrary to the asymptotic solution in the linear elastic fracture mechanics. The matched asymptotic expansion method is applied to derive the expressions for the amplitude factors that appear in the flexoelectric asymptotic solution for the crack as functions of the stress intensity factors in the loadings of mode I or mode II. The application of the matched asymptotic expansion method is conditioned by the knowledge of the so-called boundary layer, which is evaluated from the energetic criteria at the crack tip.

Název v anglickém jazyce

Assessment of amplitude factors of asymptotic expansion at crack tip in flexoelectric solid under mode I and II loadings

Popis výsledku anglicky

The direct flexoelectric effect is a consequence of the polarization of the material, which is proportional to the strain gradients. The strain gradients are prominent near material defects, especially at the crack tips, where the flexoelectric effect redistributes the stress field and consequently influences the crack propagation. The flexoelectricity is a size dependent effect, i.e. it depends on an internal material length parameter as the additional material characteristic. This fact makes the equilibrium, constitutive, and boundary equations complicated as well as the asymptotic solution at the crack tip contrary to the asymptotic solution in the linear elastic fracture mechanics. The matched asymptotic expansion method is applied to derive the expressions for the amplitude factors that appear in the flexoelectric asymptotic solution for the crack as functions of the stress intensity factors in the loadings of mode I or mode II. The application of the matched asymptotic expansion method is conditioned by the knowledge of the so-called boundary layer, which is evaluated from the energetic criteria at the crack tip.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

ISSN

0020-7683

e-ISSN

1879-2146

Svazek periodika

269

Číslo periodika v rámci svazku

1.5.2023

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

22

Strana od-do

112194-112194

Kód UT WoS článku

000971280400001

EID výsledku v databázi Scopus

2-s2.0-85149903937