Initiation of fluid-induced fracture in a thick-walled hollow permeable sphere

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F19%3A00330870" target="_blank" >RIV/68407700:21110/19:00330870 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.euromechsol.2019.04.004" target="_blank" >https://doi.org/10.1016/j.euromechsol.2019.04.004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.euromechsol.2019.04.004" target="_blank" >10.1016/j.euromechsol.2019.04.004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Initiation of fluid-induced fracture in a thick-walled hollow permeable sphere

Popis výsledku v původním jazyce

The initiation of fluid-induced fracture in formations of permeable geomaterials subjected to quasi-stationary flow processes (drained response) can be strongly affected by Biot’s coefficient and the size of the formation. The aim of this paper is to analyse the influence of these parameters on the initial fracture process of a thick-walled hollow permeable sphere subjected to fluid injection in the hole. Assuming that fracture patterns are distributed uniformly during the hardening stage of the fracture initiation process, the coupled fluid-solid problem is described by a nonlinear ordinary differential equation, which is solved numerically by means of finite differences combined with shooting and Newton methods. The finite difference code has also been validated in the elastic range, i.e., before initiation of fracture, against an original closed-form analytical solution of the above differential equation. The results show that the nominal strength of the sphere increases with increasing Biot’s coefficient and decreases with increasing size.

Název v anglickém jazyce

Initiation of fluid-induced fracture in a thick-walled hollow permeable sphere

Popis výsledku anglicky

The initiation of fluid-induced fracture in formations of permeable geomaterials subjected to quasi-stationary flow processes (drained response) can be strongly affected by Biot’s coefficient and the size of the formation. The aim of this paper is to analyse the influence of these parameters on the initial fracture process of a thick-walled hollow permeable sphere subjected to fluid injection in the hole. Assuming that fracture patterns are distributed uniformly during the hardening stage of the fracture initiation process, the coupled fluid-solid problem is described by a nonlinear ordinary differential equation, which is solved numerically by means of finite differences combined with shooting and Newton methods. The finite difference code has also been validated in the elastic range, i.e., before initiation of fracture, against an original closed-form analytical solution of the above differential equation. The results show that the nominal strength of the sphere increases with increasing Biot’s coefficient and decreases with increasing size.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

Projekt

<a href="/cs/project/GC17-04150J" target="_blank" >GC17-04150J: Robustní dvojúrovňové simulace založené na Fourierově metodě a metodě konečných prvků: Odhady chyb, redukované modely a stochastika</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

European Journal of Mechanics - A/Solids

ISSN

0997-7538

e-ISSN

1873-7285

Svazek periodika

76

Číslo periodika v rámci svazku

July

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

123-134

Kód UT WoS článku

000472691600011

EID výsledku v databázi Scopus

2-s2.0-85064136459