Debonding of a circular inclusion: Asymmetric propagation of a pair of cracks

Crack propagation associated with two initially symmetrical cracks located at the interface between an inclusion and the surrounding matrix, subjected to remote traction, is studied by means of Griffith’s energy criterion within the framework of linear elastic fracture mechanics. Using Muskhelishvil...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 167; pp. 71 - 78
Main Authors Le, V.H.T., Brisard, S., Pouya, A.
Format Journal Article
LanguageEnglish
Published New York Elsevier Ltd 01.08.2019
Elsevier BV
Elsevier
Subjects
Complex potentials
Crack propagation
Crack tips
Energy release rate
Engineering Sciences
Fracture mechanics
Griffith’s energy criterion
Interfacial crack
Linear elastic fracture mechanics
Mathematical analysis
Mechanics
Mechanics of materials
Propagation
Propagation modes
Stress intensity factor
Stress intensity factors
Energy release rate
Interfacial crack
Stress intensity factor
Griffith’s energy criterion
Complex potentials
Griffith's energy criterion
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Summary:Crack propagation associated with two initially symmetrical cracks located at the interface between an inclusion and the surrounding matrix, subjected to remote traction, is studied by means of Griffith’s energy criterion within the framework of linear elastic fracture mechanics. Using Muskhelishvili’s method of complex potentials, we derive semi-analytical expressions of the stress intensity factor and energy release rate at the crack-tip. Based on these results, we discuss the mode of propagation of the cracks. Our analysis points at the possibility of a single-sided, rather than simultaneous, symmetric crack growth, even if both initial configuration and loading are symmetric.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2019.03.004