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Creep induced rate effects on radial cracks in multilayered structures

  • M. Huang
  • X. Niu
  • W. O. SoboyejoEmail author
Article

Abstract

This paper considers foundation and epoxy creep induced loading rate effects on radial cracks in multilayered structures. These include top layers of glass or silicon that are bonded to polycarbonate foundations with epoxy. The creep properties of the epoxy join and the polycarbonate foundation are determined using compression experiments and spring-dashpot models. The measured creep parameters are then incorporated into an analytical mechanics model, and finite element simulations are used to predict the effects of creep on the critical loads for radial cracking at different loading rates. The models suggest that the combined effects of creep and slow crack growth must be considered in the predictions of the critical loads required for radial cracking in the systems containing glass top layers. Since slow crack growth does not occur in silicon, the model considering the creep effect is used to predict the critical loads for radial cracking in the systems containing silicon top layers. In both of the structures, analytical solutions are obtained for bi-layer structures and finite element simulations are used for tri-layer structures. Our results show that the analytical solutions obtained by bi-layer structures provide good estimations for tri-layer structures when the epoxy thickness is less than 100 μm. The predictions obtained for both systems are shown to provide improved predictions by comparing with experimental results reported by Lee et al. [J. Am. Ceram. Soc., 2002, 85(8), 2019–2024]. In both systems, the modeling of join/substrate creep is shown to be important for the accurate prediction of loading rate effects on radial cracking.

Keywords

Critical Load Radial Crack Slow Crack Growth Creep Model Subcritical Crack Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. C.-S. LEE, D. K. KIM, J. SÁNCHEZ, P. MIRANDA, A. PAJARES and B. R. LAWN, J. Am. Ceram. Soc. 85(8) (2002) 2019.CrossRefGoogle Scholar
  2. M. HUANG, X. NIU, P. SHROTRIYA, V. P. THOMPSON, E. D. REKOW and W. O. SOBOYEJO, “Contact damage of dental multilayers: viscous deformation and fatigue mechanisms.” Trans. ASME, J. Eng. Mater. Tech. 127 (2005) 33.CrossRefGoogle Scholar
  3. B. R. LAWN, D. B. MARSHALL and P. CHANTIKUL, J. Mater. Sci. 16(7) (1981) 1769.CrossRefGoogle Scholar
  4. B. R. LAWN, K. S. LEE, H. CHAI, A. PAJARES, D. K. KIM, S. WUTTIPHAN, I. M. PETERSON and X. HU, Adv. Eng. Mater. 2(11) (2000) 745.CrossRefGoogle Scholar
  5. S. TIMOSHENKO and S. WOINOWSKY-KRIEGER, in “Theory of Plates and Shells,” 2nd edn, (McGraw-Hill, New York, 1959) p. 275.Google Scholar
  6. C. ZENER, in “Elasticity and Anelasticity of Metals” (Chicago Press, 1948).Google Scholar
  7. S. M. WIEDERHORN and L. H. BOLZ 53(10) (1970) 543.CrossRefGoogle Scholar
  8. T. P. DABBS, B. R. LAWN and P. L. KELLY Phys. Chem. Glasses 23(2) (1982) 58.Google Scholar
  9. S. M. WIEDERHORN, “Subcritical crack growth in ceramics,” in “Fracture Mechanics of Ceramics”, edited by R. C. Bradt, F. F. Lange and D. P. H. Hasselman, vol. 2 (Plenum, New York, 1974).Google Scholar

Copyright information

© Springer Science + Business Media, LLC 2006

Authors and Affiliations

  1. 1.Silicon Technology DevelopmentTexas Instruments Inc.DallasUSA
  2. 2.The Princeton Institute of Science and Technology of Materials (PRISM)Princeton
  3. 3.The Department of Mechanical and Aerospace EngineeringPrinceton UniversityPrincetonUSA

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