Micromechanical model of nacre tested in tension

Kotha, S. P.; Li, Y.; Guzelsu, N.

Affiliations

¹University of Medicine and Dentistry of New Jersey—SOM, Biomechanics, Tr. #4, 675 Hoes Lane, Piscataway, NJ 08854, USA

²Biomedical Engineering Department, Rutgers University, 617 Bowser Road, Piscataway, NJ 08854, USA

³Ceramic and Materials Science Engineering Department, Rutgers University, 607 Taylor Road, Piscataway, NJ 08854, USA

Abstract

A modified shear lag theory is used to model the tensile behavior of Pinctada nacre. A two-dimensional model is used to analyze the stress transfer between the aragonite platelets of nacre assuming that the ends of the platelet are not bonded with the organic matrix. Elastic-perfectly plastic behavior of the organic matrix is assumed. A model for stress transfer between the platelets when the matrix between the platelets starts behaving plastically is developed. It is assumed that nacre fails when the matrix breaks after the ultimate shear strain in the matrix is exceeded. This theory can be used to model the stress transfer in platelet reinforced composites at high volume fractions.

Links

DOI: 10.1023/A:1017526830874

WoS: 000168253000021

History

Received: 2000-01-09

Accepted: 2000-10-10

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Cited By (9)

Year	Entry
2010	Rabiei R, Bekah S, Barthelat F. Failure mode transition in nacre and bone-like materials. Acta Biomater. October 2010;6(10):4081-4089.
2007	Barthelat F, Espinosa HD. An experimental investigation of deformation and fracture of nacre–mother of pearl. Exp Mech. 2007;47(3):311-324.
2007	Kotha SP, Guzelsu N. Tensile behavior of cortical bone: dependence of organic matrix material properties on bone mineral content. J Biomech. 2007;40(1):36-45.
2005	Bruet BJF, Qi H., Boyce MC, Panas R, Tai K, Frick L, Ortiz C. Nanoscale morphology and indentation of individual nacre tablets from the gastropod mollusc Trochus niloticus. J Mater Res. September 2005;20(9):2400-2419.
2011	Barthelat F, Zhua D. A novel biomimetic material duplicating the structure and mechanics of natural nacre. J Mater Res. 2011;26(10):1203-1215.
2011	Rim JE, Zavattieri P, Juster A, Espinosa HD. Dimensional analysis and parametric studies for designing artificial nacre. J Mech Behav Biomed Mater. February 2011;4(2):190-211.
2007	Barthelat F, Tang H, Zavattieri PD, Li C-M, Espinosa HD. On the mechanics of mother-of-pearl: a key feature in the material hierarchical structure. J Mech Phys Solids. February 2007;55(2):306-337.
2011	Barthelat F, Rabie R. Toughness amplification in natural composites. J Mech Phys Solids. April 2011;59(4):829-840.
2009	Espinosa HD, Rim JE, Barthelat F, Buehler MJ. Merger of structure and material in nacre and bone: perspectives on de novo biomimetic materials. Prog Mater Sci. November 2009;54(8):1059-1100.