Analytical solutions of the displacement and stress fields of the nanocomposite structure of biological materials

Composites Science and Technology

Volumn 71, Issue 9, 2011, Pages 1190-1195

  Liu, Gang ^a,c   Ji, Baohua ^a,b   Hwang, Keh Chih ^a   Khoo, Boo Cheong ^c  

^a TSINGHUA UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

A. Nanocomposite; A. Polymer matrix composites (PMCs); B. Mechanical properties; Biological materials; C. Modeling

Indexed keywords

A. NANOCOMPOSITE; A. POLYMER-MATRIX COMPOSITES (PMCS); ANALYTICAL SOLUTIONS; B. MECHANICAL PROPERTIES; BASIC BUILDING BLOCK; C. MODELING; FRACTURE BEHAVIOR; GENERIC STRUCTURE; NANO-COMPOSITE STRUCTURE; NON-DIMENSIONAL PARAMETERS; PERTURBATION METHOD; PROTEIN MATRIX; SOLID BASIS; STAGGERED ALIGNMENT; STRESS AND STRAIN; STRESS FIELD; STRUCTURAL COMPLEXITY; UNIAXIAL TENSIONS; UNIFORM SHEAR;

ASPECT RATIO; BUCKLING; FRACTURE; MATERIALS PROPERTIES; MECHANICAL PROPERTIES; NANOCOMPOSITES; PERTURBATION TECHNIQUES; POLYMER MATRIX COMPOSITES; PROTEINS; SHEAR STRESS; SILICATE MINERALS; STRESS CONCENTRATION;

BIOLOGICAL MATERIALS;

EID: 79957625548     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2011.03.011     Document Type: Article

References (25)

1. Menig R., Meyers M.H., Meyers M.A., Vecchio K.S. Quasi-static and dynamic mechanical response of haliotis rufescens shells. Acta Mater 2000, 48:2383-2398.
2. Menig R., Meyers M.H., Meyers M.A., Vecchio K.S. Quasi-static and dynamic mechanical response of strombus gigas(conch) shells. Mater Sci Eng A 2001, 297:203-211.
3. Currey J.D. Mechanical properties of mother of pearl in tension. Proc R Soc London B Biol Sci 1977, 196:443-463.
4. Jackson A.P., Vincent J.F.V., Turner R.M. The mechanical design of nacre. Proc R Soc London B Biol Sci 1988, 234:415-440.
5. Kamat S., Su X., Ballarini R., Heuer A.H. Structural basis for the fracture toughness of the shell of the conch strombus gigas. Nature 2000, 405:1036-1040.
6. Landis W.J. The strength of a calcified tissue depends in part on the molecular structure and organization of its constituent mineral crystals in their organic matrix. Bone 1995, 16:533-544.
7. Ji B.H., Gao H.J. Mechanical principles of biological nanocomposites. Annu Rev Mater Res 2010, 40:77-100.
8. Okumura K., de Gennes P.-G. Why is nacre strong? Elastic theory and fracture mechanics for biocomposites with stratified structures. Eur Phys J E 2001, 4:121-127.
9. Wang R.Z., Suo Z., Evans A.G., Yao N., Aksay I.A. Deformation mechanisms in nacre. J Mater Res 2001, 16:2485-2493.
10. Gao H., Ji B. Modeling fracture in nanomaterials via a virtual internal bond method. Eng Fract Mech 2003, 70:1777-1791.
11. Jager I., Fratzl P. Mineralized collagen fibrils: a mechanical model with a staggered arrangement of mineral particles. Biophys J 2000, 79:1737-1746.
12. Gao H.J., Ji B., Jaeger I.L., Arzt E., Fratzi P. Materials become insensitive to flaws at nanoscale: Lessons from nature. Proc Natl Acad Sci. 2003, 100:5597-5600.
13. Gao H., Ji B., Buehler M.J., Yao H. Flaw tolerant bulk and surface nanostructures of biological systems. Mech Chem Biosyst 2004, 1:37-52.
14. Ji B., Gao H. Elastic properties of nanocomposite structure of bone. Compos Sci Technol 2006, 66:1212-1218.
15. Ji B.H., Gao H.J. A study of fracture mechanisms in biological nano-composites via the virtual internal bond model. Mater Sci Eng A 2004, 366:96-103.
16. Ji B.H., Gao H.J., Hsia K.J. How do slender mineral crystals resist buckling in biological materials?. Philos Mag Lett 2004, 84:631-641.
17. Ji B.H. An atomistic study of the strength of protein-mineral interface of biological materials with a biomimicking model system at nanoscale. J Comput Theor Nanosci 2010, 7:1265-1271.
18. Ji B.H. A study of the interface strength between protein and mineral in biological materials. J Biomech 2008, 41:259-266.
19. Zhang Z.Q., Liu B., Huang Y., Hwang K.C., Gao H. Mechanical properties of unidirectional nanocomposites with non-uniformly or randomly staggered platelet distribution. J Mech Phys Solids 2010, 58(10):1646-1660.
20. Gao H.J. Application of fracture mechanics concepts to hierarchical biomechanics of bone and bone-like materials. Int J Fract 2006, 138:101-137.
21. Zuo S.C., Wei Y.G. Effective elastic modulus of bone-like hierarchical materials. Acta Mech Solida Sin 2007, 20:198-205.
22. Chen B., Wu P.D., Gao H. A characteristic length for stress transfer in the nanostructure of biological composites. Compos Sci Technol 2009, 69:1160-1164.
23. Kotha S.P., Kotha S., Guzelsu N. A shear-lag model to account for interaction effects between inclusions in composites reinforced with rectangular platelets. Compos Sci Technol 2000, 60:2147-2158.
24. Dai Y., Mai Y.W., Ji X. Predictions of stiffness and strength of nylon 6/MMT nanocomposites with an improved staggered model. Compos Part B Eng 2008, 39(6):1062-1068.
25. Kotha S.P., Li Y., Guzelsu N. Micromechanical model of nacre tested in tension. J Mater Sci 2001, 36(8):2001-2007.