A fracture toughness model for brittle coating on ductile substrate under indentation loading

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DOIResolve DOI: http://doi.org/10.1016/j.engfracmech.2011.11.018
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TypeArticle
Journal titleEngineering Fracture Mechanics
ISSN0013-7944
Volume82
Pages1728; # of pages: 12
SubjectBrittle coating; Ductile substrate; Indentation; Elliptical crack; Fracture toughness; Composite hardness; Interface correction factor
AbstractThis paper presents an analytical fracture toughness model for brittle coating/ductile substrate systems. The model considers a well-developed radial/median crack of semi-elliptical shape in proximity of the coating/substrate interface. It incorporates three critical factors to correct Lawn et al.’s formalism for monolithic materials: (i) an elliptical crack shape factor introduced by adopting Borodachev’s solution for an elliptical crack under a concentrated force at the crack center, which represents the residual plastic component due to expansion of the plastic zone under indentation; (ii) an interface correction factor obtained by analyzing Noda et al.’s results for an elliptical crack near a bi-material interface, which expresses explicitly its dependence on the distance ratio, h/a, and Young’s modulus ratio, Es/Ec, and (iii) the composite system hardness incorporated in the formula to take into account the influence of the substrate material. Overall, the model shows a non-linear relationship between the radial crack length, c³/², and indentation load, P, for brittle coating on ductile substrate systems. A series of indentation experiments have been carried out on a WC/10Co/4Cr coating/1080 low carbon steel substrate system to validate the model.
Publication date
LanguageEnglish
AffiliationNRC Institute for Aerospace Research; National Research Council Canada
Peer reviewedYes
IdentifierS0013794411004267
NPARC number21268749
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Record identifier087e7298-968c-4433-a454-9ae8b28396e7
Record created2013-11-12
Record modified2016-05-09
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