An asymptotic analysis of crack initiation from an interfacial zone surrounding the circular inclusion

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081723%3A_____%2F19%3A00509917" target="_blank" >RIV/68081723:_____/19:00509917 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26210/19:PU130261

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0263822318304847?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0263822318304847?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruct.2018.10.020" target="_blank" >10.1016/j.compstruct.2018.10.020</a>

Result language

angličtina

Original language name

An asymptotic analysis of crack initiation from an interfacial zone surrounding the circular inclusion

Original language description

A geometrically simplified plane elasticity problem of a finite small crack emanating from a thin interfacial zone surrounding the circular inclusion situated in the finite bounded domain is investigated. The inclusion can model a particle in a composite material. The crack is modelled using the distribution dislocation technique, which represents the so called inner solution or boundary layer of the studied problem. Its application is conditioned by the knowledge of the fundamental solution of the dislocation interacting with the inclusion and its interfacial zone. The fundamental solution is based on the application of Muskhelishvili complex potentials in the form of the Laurent series. The coeficients of the series are evaluated from the compatibility conditions along the interfaces of the inclusion, the interfacial zone and the matrix. Another supplement of the fundamental solution is its utilization for the so-called outer solution, which is the solution of the boundary integral method approximating the stress and strain relations along the external boundary of the domain containing the inclusion. The asymptotic analysis is introduced at the point of crack initiation to control the mismatch between the outer and the inner solutions along the external boundary of the studied domain. The asymptotic analysis results in the evaluation of the stress intensity factors as the leading terms of the asymptotic series expressed from the stress distribution near the crack tip, which lies in the matrix. The topological derivative is used to approximate the energy release rate field associated with the perturbing of the matrix by the finite small crack emanating from the interfacial zone. The assessed values of the energy release rate allow one to study the influence of the interfacial zone dimension and elastic properties on crack initiation under the conditions of finite fracture mechanics.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20505 - Composites (including laminates, reinforced plastics, cermets, combined natural and synthetic fibre fabrics; filled composites)

Project

<a href="/en/project/LQ1601" target="_blank" >LQ1601: CEITEC 2020</a><br>

Continuities

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

Publication year

2019

Confidentiality

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

Name of the periodical

Composite Structures

ISSN

0263-8223

e-ISSN

—

Volume of the periodical

208

Issue of the periodical within the volume

JAN

Country of publishing house

GB - UNITED KINGDOM

Number of pages

19

Pages from-to

479-497

UT code for WoS article

000451025300043

EID of the result in the Scopus database

2-s2.0-85055032451