Application of J-Integral to a Random Elastic Medium
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Application of J-Integral to a Random Elastic Medium
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20102 - Construction engineering, Municipal and structural engineering
Result continuities
Project
<a href="/en/project/GA24-11845S" target="_blank" >GA24-11845S: Smart modeling of inelastic behavior in heterogeneous materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of applied mechanics
ISSN
0021-8936
e-ISSN
1528-9036
Volume of the periodical
92
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
031006-1-031006-6
UT code for WoS article
001414175600007
EID of the result in the Scopus database
2-s2.0-105001364438