Deep-Penetrating Conical Cracks in Brittle Layers from Hydraulic
Cyclic Contact
Yu Zhang,* Jun-Kwang Song,
†
Brian R. Lawn
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg,
Maryland 20899
Received 13 August 2004; accepted 8 September 2004
Published online 25 January 2005 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/jbm.b.30195
Abstract: A study is made of fracture from cyclic loading of WC spheres on the top surfaces
of thick (1 mm) brittle layers on polymeric substrates, as representative of repetitive occlusal
contact on dental crown structures. The advantage of glass layers is that internal cracks can
be followed in situ during the entire cyclic loading process. The glass surfaces are first given
a surface-abrasion treatment to control the flaw state, such that the strengths match those of
dental porcelains. Cyclic contact tests are carried out at prescribed maximum loads and
frequencies, in water. In addition to conventional cone cracks that form outside the contact
circle, additional, inner cone cracks form within the contact in the water environment. These
inner cones are observed only in cyclic loading in water and are accelerated at higher
frequencies, indicating a strong mechanical driving force. They tend to initiate after the outer
cones, but subsequently catch up and penetrate much more rapidly and deeply, ultimately
intersecting the underlying coating/substrate interface. Comparative tests on glass/polymer
bilayers versus monolithic glass, in cyclic versus static loading, in water versus air environ-
ment, on abraded versus etched surfaces, and with glass instead of WC indenters, confirm the
existence of a dominant mechanical element in the inner-cone crack evolution. It is suggested
that the source of the mechanical driving force is hydraulic pressure from intrusion and
entrapment of liquid in surface fissures at the closing contact interface. This new type of cone
cracking may limit dental crown veneer lifetimes under occlusal fatigue conditions, especially
in thicker layers, where competing modes—such as undersurface radial cracks—are sup-
pressed. © 2005 Wiley Periodicals, Inc.* J Biomed Mater Res Part B: Appl Biomater 73B: 186 –193, 2005
Keywords: biomechanical ceramics; cone cracks; contact damage; cyclic fatigue; fracture
modes; hydraulic fracture; glass
INTRODUCTION
Ceramic-based layer systems are used in many engineering
and biomechanical applications. Important examples are all-
ceramic crowns (replacing enamel) on tooth dentin
1–3
and
ceramic acetabular liners in total hip replacements.
4,5
The
ceramic layers afford mechanical protection to compliant/soft
support underlayers. However, ceramics are subject to life-
time-threatening cracking from concentrated contact stresses,
especially in sustained and cyclic loading. There is a need to
understand how different modes of fracture and deformation
compete under such extenuating conditions.
Several damage modes induced by curved indenters in
ceramic layers on compliant substrates have been identified
and analyzed.
1,2,6 –10
These can be divided into two catego-
ries: top-surface damage from near-contact stresses, and bot-
tom-surface damage from flexural stresses. Generally, top-
surface modes dominate when the coating thickness d is large
and sphere radius r is small, especially in sharp-particle
contacts; conversely, bottom-surface modes dominate when d
is small and r is large. One of the most deleterious fracture
modes is radial cracking, usually at the bottom surface, but
also, especially in softer ceramics, from quasiplastic defor-
mation zones at the top surface. Such radial cracks are ori-
ented normal to the plate surface and are therefore susceptible
to any superposed tensile stresses generated during biome-
chanical function.
Another top-surface fracture mode associated with curved
indenters is that of classical Hertzian cone cracking.
11–16
In
single-cycle loading, ring cracks form just outside the con-
tact. Because they tend to remain shallow and at a low angle
Information of product names and suppliers in this article does not imply endorse-
ment by NIST
*On leave from: New York University College of Dentistry, 345 East 24th Street,
New York, NY 10010
†
On leave from: Machine & Material Center, Korea Testing Laboratory, Guro-
Dong, Guro-Gu, Seoul 152-848, Korea
Correspondence to: Brian R. Lawn (e-mail: brian.lawn@nist.gov)
Contract grant sponsor: National Institute of Dental and Craniofacial Research;
contract grant number: PO1 DE10976
Contract grant sponsor: Korea Institute S & T Evaluation and Planning (KISTEP)
through the National Research Laboratory
© 2005 Wiley Periodicals, Inc. *This article is a US Government work and, as
such, is in the public domain in the United States of America.
186