Detail publikace
Application of J-Integral to a Random Elastic Medium
ELIÁŠ, J. MARTINÁSEK, J. LE, J.
Originální název
Application of J-Integral to a Random Elastic Medium
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
elasticity; flow and fracture; stress analysis
Autoři
ELIÁŠ, J.; MARTINÁSEK, J.; LE, J.
Vydáno
1. 3. 2025
ISSN
0733-9399
Periodikum
Journal of Engineering Mechanics
Ročník
92
Číslo
3
Stát
Spojené státy americké
Strany od
031006
Strany do
31011
Strany počet
6
URL
BibTex
@article{BUT197964,
author="Jan {Eliáš} and Josef {Martinásek} and Jia-Liang {Le}",
title="Application of J-Integral to a Random Elastic Medium",
journal="Journal of Engineering Mechanics",
year="2025",
volume="92",
number="3",
pages="6",
doi="10.1115/1.4067597",
issn="0733-9399",
url="https://asmedigitalcollection.asme.org/appliedmechanics/article/92/3/031006/1211151/Application-of-J-Integral-to-a-Random-Elastic"
}