Detail publikačního výsledku

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

Anglický název

Application of J-Integral to a Random Elastic Medium

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

elasticity; flow and fracture; stress analysis

Autoři

ELIÁŠ, J.; MARTINÁSEK, J.; LE, J.

Vydáno

01.03.2025

ISSN

0733-9399

Periodikum

JOURNAL OF ENGINEERING MECHANICS

Svazek

92

Číslo

3

Stát

Spojené státy americké

Strany od

031006

Strany počet

6

URL

https://asmedigitalcollection.asme.org/appliedmechanics/article/92/3/031006/1211151/Application-of-J-Integral-to-a-Random-Elastic

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"
}