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TECHNICAL PAPERS

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
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References

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.

Figures

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

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