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Three Dimentional Finite Element Modeling of Microstructural Development of Nacre in Seashells and Implication on Mineralization of CaCO3

Published online by Cambridge University Press:  10 February 2011

D. R. Katti
Affiliation:
Department of Civil Engineering, North Dakota State University, Fargo, ND 58104
K. S. Katti
Affiliation:
Department of Civil Engineering, North Dakota State University, Fargo, ND 58104
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Abstract

Three dimensional finite element models of nacre were constructed based on reported microstructural studies on the ‘brick and mortar’ micro-architecture of nacre. 3D eight noded isoparametric brick elements were used to design the microarchitecture of nacre. Tensile tests were simulated using this model at stresses of 2 MPa which occur well within the elastic regime of nacre and thus effects related to locus and extent of damage were ignored. The reported values of elastic moduli of organic (0.005 GPa) and aragonitic platelets (205 GPa) were used in our simulations and the resulting displacements were found to be extremely large and corresponding to a very low modulus of 0.011 GPa. The reported elastic modulus of nacre is of the order of 50 GPa. The large displacements can possibly result from two possibilities. Firstly. the organic layer due to its multilayered structure is possibly composed of distinct layers of different elastic moduli. A significantly higher modulus of the organic phase may be possible near the organic-inorganic interface. Simulations using variable elastic moduli for the organic phase suggest that an elastic modulus of 15 GPa is consistent with the observed elastic behavior of nacre. A second possibility for the observed higher elastic modulus may arise from localized platelet-platelet contact. Since the observed modulus of nacre lies within the above two extremes (i.e. 15 GPa and 205 GPa) it is suggested that a combination of the two, i.e. a higher modulus of the organic phase near the organic-inorganic interface and localized platelet-platelet contact can result in the observed elastic properties of nacre.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

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References

1. CURREY, J. D., in "The Mechanical Properties of Biological Materials", edited by Vincent, J. F. V. and Currey, J. D. (Cambridge University Press, London, 1980) p. 75.Google Scholar
2. SARIKAYA, M., and AKSAY, I. A., in " Structure, Cellular Synthesis, and Assembly of Biopolvmcrs", edited by Case, S. (in Springer-Verlag, Berlin, 1995) p. 1.Google Scholar
3. HEUER, A. H., FINK, D. J., LARAJAI, D. J., ARIAS, J. L., CALVERT, P. D., KENDALL, K., MESSING, G.L., BLACKWELL, J., RIEKE, P. C., THOMPSON, D. H., WHEELER, A. P., VEIS, A. and KAPLAN, A. I., Science 255 (1992) 1098.Google Scholar
4. CALVERT, P., MRS Bull. 10 (1992) 37.Google Scholar
5. YASREBI, M., KIM, G. H., GUNNISON, K. E., MILIUS, D. L., SARIKAYA, M., and AKSAY, I. A., Mat. Res. Soc. Proc. 180 (1990) 625.Google Scholar
6. LIU, J., SARIKAYA, M. and AKSAY, I. A., Mat. Res Soc. Proc. 255 (1992) 9.Google Scholar
7. JACKSON, A.P., VINCENT, J. F. V. and TURNER, R. M., Proc. R. Soc. Lond. B234 (1988) 415.Google Scholar
8. MANN, S., in "Biomineralization: Chemical and Biological Perspectives", edited by Mann, S., Webb, J. and Williams, R. J. P. (VCH Verlagsgesselschaft, Weiheim, 1989) p. 35.Google Scholar
9. WANG, R. Z., WEN, H. B., CUI, F. Z., ZHANG, H. B. and Li, H. D., J. Mater. Sci. 30 (1995) 2299.Google Scholar
10. VINCENT, J. F. V., "Structural Biomaterial" (MacMillan Press, London, 1982) p. 171 J. F. V. VINCENT, "Structural Biomaterial" (MacMillan Press, London, 1982) p. 171Google Scholar
11. SARIKAYA, M. and AKSAY, I. A., "Design and Processing of Materials by Biomnimetics" (American Institute of Physics, Washington D. C., 1995) p. 1.Google Scholar
12. A. NBELCHER, I., WU, X. H., CHRISTENSEN, R. J., HANSAMA, P. K., STUCKY, G. D., MORSE, D. E., Nature, 381 (1996) 56.Google Scholar
13. ADDADI and, L. WEINER, S, Agnew Chem. Int. Ed Engl., 31 (1992) 153. J. F. V. VINCENT, "Structural Biomaterial" (MacMillan Press, London, 1982) p. 171 J. F. V. VINCENT, "Structural Biomaterial" (MacMillan Press, London, 1982) p. 171Google Scholar
14. BELCHER, A. N. M., HANSAMA, P. K., STUCKY, G. D. and MORSE, D. E., Acta Materialia 46 (1998)733.Google Scholar
15. MANN, S., Nature, 365 (1993) 499.Google Scholar
16. MANN, S., ARCHIBOLD, D. D., DIDYMUS, J. M., DOUGLAS, T., HEYWOOD, B., MELDRUM, F. C. and REEVES, N. J., Science, 261 (1993) 1286.Google Scholar
17. KATTI, K. S., QIAN, M., FRECH, D.W., and SARIKAYA, M., Microsc. Microanal,. 5 (1999) 358.Google Scholar
18. SHAPIRO, B., "Structural Scale Mechanical Characterization of Mollusc Shell- The Making of a Biological Armor", (M. S. Thesis, University of Washington, Seattle, 1996)Google Scholar
19. WEINER, S. and TRAUB, W., Phil. Trans. R. Soc. Lond. B 304 (1984) 425.Google Scholar