Application of J-Integral to a Random Elastic Medium

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F26%3A0197964" target="_blank" >RIV/00216305:26110/26:0197964 - isvavai.cz</a>

Výsledek na webu

<a href="https://asmedigitalcollection.asme.org/appliedmechanics/article/92/3/031006/1211151/Application-of-J-Integral-to-a-Random-Elastic" target="_blank" >https://asmedigitalcollection.asme.org/appliedmechanics/article/92/3/031006/1211151/Application-of-J-Integral-to-a-Random-Elastic</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1115/1.4067597" target="_blank" >10.1115/1.4067597</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of J-Integral to a Random Elastic Medium

Popis výsledku v původním jazyce

This study investigates the use of the J-integral to compute the statistics of the energy release rate of a random elastic medium. The spatial variability of the elastic modulus is modeled as a homogeneous lognormal random field. Within the framework of Monte Carlo simulation, a modified contour integral is applied to evaluate the first and second statistical moments of the energy release rate. These results are compared with the energy release rate calculated from the potential energy function. The comparison shows that, if the random field of elastic modulus is homogenous in space, the path independence of the classical J-integral remains valid for calculating the mean energy release rate. However, this path independence does not extend to the higher order statistical moments. The simulation further reveals the effect of the correlation length of the spatially varying elastic modulus on the energy release rate of the specimen.

Název v anglickém jazyce

Application of J-Integral to a Random Elastic Medium

Popis výsledku anglicky

This study investigates the use of the J-integral to compute the statistics of the energy release rate of a random elastic medium. The spatial variability of the elastic modulus is modeled as a homogeneous lognormal random field. Within the framework of Monte Carlo simulation, a modified contour integral is applied to evaluate the first and second statistical moments of the energy release rate. These results are compared with the energy release rate calculated from the potential energy function. The comparison shows that, if the random field of elastic modulus is homogenous in space, the path independence of the classical J-integral remains valid for calculating the mean energy release rate. However, this path independence does not extend to the higher order statistical moments. The simulation further reveals the effect of the correlation length of the spatially varying elastic modulus on the energy release rate of the specimen.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GA24-11845S" target="_blank" >GA24-11845S: Chytré modelování neelastického chování heterogenních materiálů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Journal of applied mechanics

ISSN

0021-8936

e-ISSN

1528-9036

Svazek periodika

92

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

031006-1-031006-6

Kód UT WoS článku

001414175600007

EID výsledku v databázi Scopus

2-s2.0-105001364438