Modeling of contact-induced radial cracking in ceramic bilayer coatings on compliant substrates

2003 ◽  
Vol 18 (5) ◽  
pp. 1275-1283 ◽  
Author(s):  
Chun-Hway Hsueh ◽  
Pedro Miranda
Keyword(s):  
Flexural Rigidity ◽  
Ceramic Coatings ◽  
Analytical Expression ◽  
Bilayer Coating ◽  
Compliant Substrates ◽  
Dental Crowns ◽  
Plates On Elastic Foundation ◽  
Radial Cracks ◽  
Good Agreement ◽  
Bilayer Coatings

Contact-induced radial cracking in ceramic coatings on compliant substrates was analyzed recently. Radial cracks initiate at the coating/substrate interface beneath the contact where maximum flexural tension occurs, and an analytical expression for the onset of radial cracking in monolayer coatings was formulated on the basis of the classical solution for flexing plates on elastic foundation. In the present study, the analytical expression was derived for the case of ceramic bilayer coatings on compliant substrates, which have significant applications in the structure of dental crowns. It was found that the analytical solution for bilayer-coating/substrate systems can be obtained from that of monolayer-coating/substrate systems by replacing the neutral surface position and the flexural rigidity of monolayer coating with those of bilayer coating. The predicted critical loads for initiating radial cracking were found to be in good agreement with existing measurements and finite element results for glass/alumina, glass/glass-ceramic, and glass/Y2O3-stabilized ZrO2polycrystal bilayers on polycarbonate substrates. Limitations of the present analysis are discussed.

Competing Damage Modes in All-Ceramic Crowns: Fatigue and Lifetime

2005 ◽  
Vol 284-286 ◽  
pp. 697-700 ◽  
Author(s):  
Yu Zhang ◽  
Brian R. Lawn
Keyword(s):  
Cyclic Loading ◽  
Cone Crack ◽  
Occlusal Contact ◽  
Compliant Substrates ◽  
Dental Crowns ◽  
All Ceramic ◽  
Ceramic Crowns ◽  
Radial Cracks ◽  
Brittle Layers ◽  
Dental Crown

A study is made of fracture from cyclic loading of WC spheres on the surfaces of brittle layers on compliant substrates, as representative of repetitive occlusal contact on dental crowns. Several damage modes—radial cracks at both top surface and cementation interface, and classical cone cracks as well as deep penetrating cone cracks from the top surface—have been identified and analyzed. The most dangerous fractures are radial cracks that initiate from either the top or bottom surfaces of the brittle layers and spread laterally to failure. In fatigue, these cracks are driven by chemical forces associated with the intrusion of water into the crack. Also dangerous are deep penetrating cone cracks which, unlike their classical cone crack counterparts, are mechanically driven by hydraulic pumping and can evolve rapidly with cyclic loading, threatening the lifetime of a dental crown veneer.

scholarly journals Failure of Ceramic Coatings on Soft Substrates

2000 ◽  
Author(s):  
Brian R. Lawn
Keyword(s):  
Failure Modes ◽  
Ceramic Coatings ◽  
Design Concept ◽  
Weak Interface ◽  
Brittle Coating ◽  
Direct Relevance ◽  
Dental Crowns ◽  
Bonded Interface ◽  
Resistant Ceramic

Abstract A design concept for potentially hard damage-resistant ceramic coatings on relatively soft substrates is proposed. Such coating structures are of direct relevance to biomechanical structures, especially teeth and dental crowns. In this study failure modes in bilayers and trilayers with relatively hard, brittle coating outerlayers on soft, tough substrate underlayers are evaluated. Coating/substrate systems of interest include ceramic/ceramic, ceramic/metal, and ceramic/polymer. A key element of these structures is a well-bonded interface, to prevent delamination during stressing. The objective is to arrest intrusive coating cracks in a tough sublayer, rather than merely to deflect them along a weak interface.

Study on Dynamic Characteristics and Parameter Sensitivity of Three Spans Prestressed Continuous Beam

2013 ◽  
Vol 351-352 ◽  
pp. 386-391
Author(s):  
Lu Ning Shi ◽  
Hao Xiang He ◽  
Wei Ming Yan ◽  
Yan Jiang Chen ◽  
Da Zhang
Keyword(s):  
Finite Element ◽  
Natural Frequency ◽  
Frequency Equation ◽  
Dynamic Parameters ◽  
Continuous Beam ◽  
Analytical Expression ◽  
Beam Dynamic ◽  
Frequency Sensitivity ◽  
The Impact ◽  
Good Agreement

Established the three spans prestressed continuous beam dynamic equation, obtained analytical expression of frequency equation. To solve the frequency equation for natural frequency, and compared with the finite element numerical analysis results, the frequency both with analytical expression and with finite element are in good agreement. The formula can be obtained accurately the dynamic parameters of three spans prestressed continuous beam such as frequency. At the same time, the paper also studied the natural frequency sensitivity analysis of three spans prestressed continuous beam, and focuses on the impact on the frequency with effective prestress and prestressed eccentricity.

Viscous Dissipation in Laminar Water Flows in Micro-Tubes

2007 ◽  
Author(s):  
In-Hwan Yang ◽  
Mohamed S. El-Genk
Keyword(s):  
Experimental Data ◽  
Viscous Dissipation ◽  
Temperature Rise ◽  
Experimental Results ◽  
Numerical Calculations ◽  
Analytical Expression ◽  
Water Flows ◽  
Good Agreement

Numerical calculations are performed to investigate the effect of viscous dissipation on the temperature rise and friction numbers for laminar water flows in micro-tubes. The calculated values are compared with those determined from reported experimental data for glass and diffused silica micro-tubes (D = 16 – 101 μm and L/D = 625 – 1479). The results confirm a definite slip at the wall with slip lengths of ∼ 0.7 μm and 1.0 μm, which decrease the friction number and the temperature rise in the micro-tubes, but their effect gradually diminishes as either D or L/D increases. The friction number decreases exponentially as D decreases and, to a lesser extent, as L/D increases. The effect of L/D on the friction number is insignificant for micro-tube diameters ≤ 20 μm. For D > 400 μm, the friction number approaches that of Hagen-Posieuille of 64 for macro-tubes when L/D > 1500, but approaches higher values at smaller L/D. The dimensionless analytical expression developed for calculating the friction number and the temperature rise for water flows in micro-tubes is in good agreement with both the numerical and experimental results.

In-Vitro Hertzian Fatigue Properties of Glass Infiltrated Ceramic Composites for Dental Crowns

2005 ◽  
Vol 486-487 ◽  
pp. 225-228 ◽  
Author(s):  
Yo Seung Song ◽  
Il Seok Park ◽  
Ju-Woong Jang ◽  
Deuk Yong Lee ◽  
Se Jong Lee
Keyword(s):  
Artificial Saliva ◽  
Cyclic Fatigue ◽  
Ceramic Composites ◽  
Strength Degradation ◽  
Fatigue Properties ◽  
Dental Crowns ◽  
Contact Loads ◽  
Large Numbers ◽  
Radial Cracks

Hertzian cyclic fatigue properties of the glass-infiltrated alumina and spinel were evaluated using a WC sphere of radius of 3.18 mm in exact in vitro environment (artificial saliva) at contact loads from 200 N to 1000 N to investigate indentation damage and strength degradation. At 200 N, no strength degradation was observed up to 106 contact cycles. As the load increased from 200 N to 1000 N, the reduction in strength was found when the transition from ring to radial cracking occurred. The degree of strength degradation after critical cycling was more pronounced probably owing to the chemical reaction of the artificial saliva with the glass phase along the radial cracks introduced during the large numbers of contact cycles.

Buckle Propagation Pressure for Submarine Pipelines

1993 ◽  
Vol 115 (3) ◽  
pp. 162-166 ◽  
Author(s):  
G. D. Hahn ◽  
M. She ◽  
J. F. Carney
Keyword(s):  
Experimental Data ◽  
Design Practice ◽  
Offshore Pipelines ◽  
Analytical Expression ◽  
Geometrical Nonlinearities ◽  
Main Factors ◽  
Buckle Propagation ◽  
Good Agreement

A new analytical expression is proposed for the prediction of the buckle propagation pressure for deepwater offshore pipelines. The expression accounts for the influences of the main factors involved, including the effects of material and geometrical nonlinearities. Predictions of the proposed expression are shown to be in good agreement with available experimental data, and valuable information is developed that can guide applications of the expression in design practice. In addition, a discussion is presented which outlines the derivation of the proposed expression.

Coating/Substrate Modulus Mismatches and Margin Geometry Effects on Contact Damage in Curved Brittle Coating Systems

2008 ◽  
Vol 41-42 ◽  
pp. 49-55
Author(s):  
Tarek Qasim
Keyword(s):  
Dental Composite ◽  
Contact Damage ◽  
Principal Stresses ◽  
Composite Support ◽  
Dental Crowns ◽  
Low Elastic Modulus ◽  
Brittle Layer ◽  
All Ceramic ◽  
Side Walls ◽  
Radial Cracks

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.

Prediction Laser Sealed Advanced Ceramic Coatings Dimensions by Using Finite Element Model and Computational Method

2011 ◽  
Vol 264-265 ◽  
pp. 1444-1449
Author(s):  
K.M. Adel ◽  
E.K. Ekhlas ◽  
S.H. Shaker
Keyword(s):  
Heat Affected Zone ◽  
Three Dimensional ◽  
Element Model ◽  
Melting Zone ◽  
Ceramic Coatings ◽  
Experimental Results ◽  
Computational Method ◽  
Zone Model ◽  
Good Prediction ◽  
Good Agreement

A three dimensional FE modeling of the laser surface modification is presented. The design capabilities of the ANSYS (11) software were employed for this purpose. The model calculates the dimensions of melting zone and heat affected zone. Model simulations are compared with experimental results that showed very good agreement. A one dimensional model in V.B language was presented too. The model based on conduction of heat in one dimension neglecting the other losses of heat. The results of VISUAL BASIC were compared with experimental results which showed a very good agreement. The two methods were compared with each other to showing which method have a good prediction compared with experimental results in calculating of fusion zone and heat affected zone "HAZ".

Matching Ability of Dental Shaded Zirconia Ceramics and Veneering Porcelain

2012 ◽  
Vol 512-515 ◽  
pp. 1751-1755
Author(s):  
Li Min Dong ◽  
Chen Wang ◽  
Ning Wen ◽  
Yuan Fu Yi ◽  
Qing Feng Zan ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Flexural Strength ◽  
Porcelain Body ◽  
Dental Restoration ◽  
Zirconia Ceramics ◽  
Posterior Teeth ◽  
Dental Crowns ◽  
Shock Resistance ◽  
Radial Cracks ◽  
Shade Guide

The matching properties of ceramics and veneering porcelain play an important role for the overall color and mechanical properties of dental crowns. The Vita VM9 veneering porcelain was coated on the surfaces of two zirconia, three-point flexural strength, heat shock resistance and the overall color after veneered with porcelain were tested. The results showed that the interlayer cracks, radial cracks or porcelain body cracks were not appeared in all samples during thermal shock experiments at 60~220°C. Their flexural strength was all above 700MPa and the overall color covered the common color of VITA-3D Master shade guide. There is good thermal compatibility between the two dental shaded zirconia ceramics and Vita VM9 veneering porcelain. The mechanical properties are suitable for clinical posterior teeth area restorative, and the overall color is also suitable for the requirements on the color and brightness of clinical dental restoration.

The formation of a dip on the surface of a liquid draining from a tank

1967 ◽  
Vol 29 (2) ◽  
pp. 385-390 ◽  
Author(s):  
Barry T. Lubin ◽  
George S. Springer
Keyword(s):  
Experimental Data ◽  
Liquid Surface ◽  
Cylindrical Tank ◽  
Simple Analytical Expression ◽  
Analytical Expression ◽  
Stationary Liquid ◽  
Circular Orifice ◽  
Good Agreement

Experiments were performed studying the formation of a dip on the surface of an initially stationary liquid draining from a cylindrical tank through an axisym-metrically placed circular orifice. Based upon the information obtained from the experiments, a simple analytical expression was derived predicting the height of the liquid surface in the tank at which this dip forms. A comparison was made between the experimental data and the results of the analysis and good agreement was found between theory and data.

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