Asymptotic Analysis of the Stress Field in Adhering Dental Restorations

[+] Author and Article Information
P. F. Hübsch, J. Middleton

University of Wales College of Medicine, Dental School, Department of Basic Dental Science, Heath Park, Cardiff CF4 4XY, Wales, United Kingdom

J Biomech Eng 122(4), 408-415 (Feb 28, 2000) (8 pages) doi:10.1115/1.1286564 History: Received June 22, 1999; Revised February 28, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Davidson,  C. L., Feilzer,  A. J., and De Gee,  A. J., 1984, “The Competition Between the Composite-Dentin Bond Strength and the Polymerization Contraction Stress,” J. Dent. Res., 63, No. 12, pp. 1396–1399.
Destuynder,  P., Michiavila,  F., Santos,  A., and Ousset,  Y., 1992, “Some Theoretical Aspects in Computational Analysis of Adhesive Lap Joints,” Int. J. Numer. Methods Eng., 35, pp. 1237–1264.
Iancu,  O. T., 1989, “Non-singular Wedge Combinations at the Free Edge of a Brazed Ceramic-Metal Joint,” Comput. Struct., 33, pp. 873–878.
Muskhelishvili, N. I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, 3rd ed., P. Noordhoff Ltd.
Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, 2nd ed., McGraw-Hill.
Hubsch, P. F., 1995, “A Numerical and Analytical Investigation Into Some Mechanical Aspects of Adhesive Dentistry,” Ph.D. thesis, University of Wales Swansea, C/Ph/189/95.
Theocaris,  P. S., 1974, “The Order of Singularity at a Multiwedge Corner of a Composite Plate,” Int. J. Eng. Sci., 12, pp. 107–120.
Muller,  D. E., 1956, “A Method for Solving Algebraic Equations Using an Automatic Computer,” Math. Tables Aids Comput., 10, pp. 208–215.
Bogy,  D. B., and Wang,  K. C., 1971, “Stress Singularities at Interface Corners in Bonded Dissimilar Isotropic Elastic Materials,” Int. J. Solids Struct., 7, pp. 993–1005.
Akinmade, A. O., 1994, “Evaluation of the Moduli and Poisson’s Ratio of Bracket Cements,” Tech. rept. Laboratory of the Governments Chemist; private communication.
Akinmade,  A. O., and Nicholson,  J. W., 1995, “Poisson’s Ratio of Glass Polyalkenoate (‘Glass-Ionomer’) Cements Determined by an Ultrasonic Pulse Method,” J. Mater. Sci.: Mater. Med., 6, pp. 483–485.
Porte,  A., Lutz,  F., Lund,  M. R., Swartz,  M. L., and Cochran,  M. A., 1984, “Cavity Designs for Composite Resins,” Opera. Dentistry, 9, pp. 50–56.


Grahic Jump Location
Geometry of restored tooth and location of possible singularities
Grahic Jump Location
Local geometry at the point of geometric discontinuity at a material interface
Grahic Jump Location
Geometry considered by Bogy and Wang 9
Grahic Jump Location
Geometry used in the validation example together with the associated finite element mesh
Grahic Jump Location
Displacement versus radial coordinate plot in logarithmic coordinates (case 1)
Grahic Jump Location
Order of the singularity around a dental restoration; dependence on Young’s modulus (case 1)
Grahic Jump Location
Order of the singularity around a dental restoration; dependence on Poisson’s ratio (case 1)
Grahic Jump Location
Angular dependence of the order of singularity in the case of a sharp corner in the interior of the domain
Grahic Jump Location
Dependence of the order of singularity on the piercing angle; variation with Poisson’s ratio
Grahic Jump Location
Dependence of the order of singularity on the piercing angle; variation with Young’s modulus
Grahic Jump Location
Curved cavity wall avoiding the singularities at the dentino-enamel junction and at the free surface
Grahic Jump Location
Cavity shapes analyzed by Porte et al. 12 in an experimental investigation



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In