d e n t a l m a t e r i a l s 2 9 ( 2 0 1 3 ) 626–634
Available online at www.sciencedirect.com
jo ur nal ho me pag e: www.intl.elsevierhealth.com/journals/dema
Endodontic access cavity simulation in ceramic dental
crowns
Mitchell Cuddihy
a
, Catherine M. Gorman
b
, Francis M. Burke
c
, Noel J. Ray
c
,
Denis Kelliher
d,∗
a
Department of Materials, Royal School of Mines, Imperial College London, London SW7 2AZ, United Kingdom
b
Restorative Dentistry and Periodontology, Trinity College Dublin, Dublin 2, Ireland
c
Restorative Dentistry, Cork University Dental School and Hospital, University College Cork, Ireland
d
Department of Civil and Environmental Engineering, University College Cork, Ireland
a r t i c l e i n f o
Article history:
Received 28 March 2012
Received in revised form
14 December 2012
Accepted 4 March 2013
Keywords:
Finite element analysis
Simulation
Endodontics
Restorative dentistry
a b s t r a c t
Objectives. It is proposed that a non-uniform rational B-spline (NURBS) based solid geometric
model of a ceramic crown would be a flexible and quick approach to virtually simulate root
canal access cavities. The computation of strain components orthogonal to surface flaws
generated during the drilling would be an appropriate way of comparing different access
cavity configurations.
Methods. A CT scan is used to develop a full 3D NURBS geometric solid model of a ceramic
crown. Three different access cavity configurations are created virtually in the geometric
model and there are then imported into proprietary finite element software. A linear analysis
of the each crown is carried out under appropriate in vivo loading and the results are post-
processed to carry out a quantitative comparison of the three configurations
Results. The geometric model is shown to be a flexible and quick way of simulation access
cavities. Preliminary indications are that post processed strain results from the finite ele-
ment analysis are good comparators of competing access cavity configurations.
Significance. The generation of geometric solid models of dental crowns from CT scans
is a flexible and efficient methodology to simulate a number of access cavity configura-
tions. Furthermore, advanced post-processing of the primary finite element analysis results
is worthwhile as preliminary results indicate that improved quantitative comparisons
between different access cavity configurations are possible.
© 2013 Academy of Dental Materials. Published by Elsevier Ltd. All rights reserved.
1. Introduction
Classical structural mechanics fails to produce an adequate
elucidation of the stresses and strains developed in a system
as geometrically complex as a grinding tooth. Naturally, the
boundary of such a surface cannot be described by a singu-
lar component such as a beam or a plate, and therefore a
∗
Corresponding author. Tel.: +353 21 490 2308.
E-mail address: d.kelliher@ucc.ie (D. Kelliher).
computer simulation must be carried out. All physical
phenomena are modeled mathematically as partial differen-
tial equations. It is rare that the solutions for these partial
differential equations are trivial [1], but since the development
of the computer, numerical solutions are now mainstream. For
boundary value field problems, including structural mechan-
ics, the finite element method (FEM) is the standard numerical
approach. The ability of the FEM to accurately compute stress
0109-5641/$ – see front matter © 2013 Academy of Dental Materials. Published by Elsevier Ltd. All rights reserved.
http://dx.doi.org/10.1016/j.dental.2013.03.001