JIRÁSEK, M. and O. ALLIX. Analysis of self-similar rate-dependent interfacial crack propagation in mode II. International Journal of Fracture. 2019, 220(1), 45-83. ISSN 0376-9429. DOI 10.1007/s10704-019-00396-4.
The present study analyzes the fundamental properties of a rate-dependent cohesive model applied to
the description of dynamic mode-II crack propagation. To make a semi-analytical treatment possible, the idealised
problem of a crack along the interface between a semi-infinite elastic layer and a rigid substrate is considered. Solutions
corresponding to the propagation of the crack tip at a constant speed are constructed. Using asymptotic properties
of the solution far from the crack tip allows obtaining the complete solution of the boundary value problem by
direct integration without iterations, using a specific form of the shooting method. By conversion of the problem
to dimensionless variables, the behavior of the system for all possible crack velocities and arbitrary combinations of
material and geometric parameters can be characterized. The dependence of fracture energy and other important
characteristics on model parameters and the crack speed can then be analyzed. Even if the approach is applied to
a specific form of damage rate dependence and motivated by the analysis of delamination propagation, the same
technique could be used for other classes of interfacial cohesive rate-dependent models.
eng
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.relation.ispartof
International Journal of Fracture
dc.subject
rate-dependent damage model
eng
dc.subject
mode-II interfacial crack
eng
dc.subject
dynamic self-similar propagation
eng
dc.subject
shooting method
eng
dc.title
Analysis of self-similar rate-dependent interfacial crack propagation in mode II