Abstract: The effects of coating/substrate modulus mismatch and margin geometry on contact
damage in bi-layer systems were investigated. Following an earlier study, convex specimens having
curvature of 12 mm inner coating diameter and 1mm thick brittle layer on a polymeric and dental
composite support bases were produced. Sample coating geometry at the margins was varied by
grinding the edge of the glass shells in various shapes. The specimens were tested by applying
single cycle load at the specimen’s axis of symmetry using flat indenter of low elastic modulus. The
effects of margin geometry and support layer modulus on radial crack initiation and damage
evolution was examined, with particular attention paid to the relevance of such damage to lifetimelimiting
failures of all- ceramic dental crowns. Finite element modeling was used to evaluate stress
distribution in the glass coating. Experimental trends interrupted with peak maximum principal
stresses at the margins. The results of this study illustrate that the fracture behaviour of brittle
layered structures is not dominated by certain variables. It is demonstrated that critical loads for
initiation of radial cracks are sensitive to support layer modulus as well as margin geometry.
Support layer modulus plays an important role in crack propagation and subsequent damage
patterns, especially at specimen side walls.
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Authors: Chris Ford, Tarek Qasim, Mark Bush, Xiao Zhi Hu
Abstract: This paper uses Finite Element Analysis to examine stresses in loaded curved bi-layer
structures. The model system consists of glass shells, both constant thickness and tapered, filled
with dental composite. These systems, simulating brittle crowns on tooth dentine, are loaded with
ultra-compliant disk indenters, and hard spherical indenters for comparison, along the (convex) axis
of symmetry. The resulting maximum principal stress patterns are analysed.
Previous studies have generally utilised hard spherical indenters of various radii indenting
constant thickness coatings, and examined stresses leading to crack initiation. However, the peak
stresses observed in this traditional contact problem – inducing surface cone cracking or flexureinduced
radial cracking - occurred close to or inside the (small) contact area, and do not explain the
margin failures in dental crowns commonly observed by dentists. Furthermore, the effect of
varying coating thickness, especially tapering towards thinner margins, has not previously been
examined. The use of an ultra-compliant indenter distributes the indentation force over a large
contact area, generating a compressive zone underneath the contact, and consequently, previously
insignificant stresses at the support margin become dominant, and the focus shifts to the support
margin, rather than the area close to the contact.
In this study, balsa wood is used as the disk indenter model material, with a modulus several
orders of magnitude lower than the indented materials. Stress patterns from the same systems
indented by hard spherical indenters are included for comparison. The specific focus is the effect of
tapered coatings, examining stress patterns from several geometries. Results confirm not only a
shift in the peak maximum principal stress from the near-contact area (under hard spherical
indenters) to the margin area (under ultra-compliant indenters), but also show that coating taper can
have a significant influence on the margin stress under a soft indenter. In the same systems indented
by a hard indenter, coating taper has very little effect on the more localised stresses induced.
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Authors: Tarek Qasim, Anne Whitton, Chris Ford, Mark Bush, Xiao Zhi Hu
Abstract: This paper explores the so-called “margin failures” observed in loaded curved bi-layer
structures. Hemispherical bi-layer model test specimens consisting of glass shells with varying
margin geometry filled with epoxy resin, simulating brittle crowns on tooth dentine, are loaded with
compliant indenters along the (convex) axis of symmetry. Using this unique setup, the influence of
margin geometry on margin failure is examined. Nearly all previous studies have utilised hard
spherical indenters of various radii, and examined crack initiation and evolution at the contact point.
However, the modes of fracture observed in this traditional contact problem, surface cone cracking
or flexure-induced radial cracking initiate close to or inside the (small) contact area, and thus not
explain the margin failures commonly observed by dentists. Crack growth at the margins distant
from the contact zone cannot be generated under indentation using hard spherical indenters. The use
of a compliant (soft) indenter distributes the indentation force over a large contact area, generating a
compressive zone underneath the contact, and effectively inhibiting the modes of fracture typically
observed using hard indenters (radial and cone cracking). Consequently, significant tensile stresses
at the support margin become dominant, and the focus shifts to fracture initiating at the support
margins. In this study, cylindrical indenters composed of PTFE Teflon, with a modulus several
orders of magnitude lower than the indented materials, are used to examine margin fracture in
brittle crown like structures. The specific focus is the effect of margin geometry – Chamfered;
Round; Shoulder margins are examined, and their influences on crack initiation and damage
evolution are reported.
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