Numerical Study on Helical Fiber Fragmentation in Chiral Biological Materials

Abstract

Chiral microstructures exist widely in natural biological materials such as wood, bone, and climbing tendrils. The helical shape of such microstructures plays an important role in stress transfer between fiber and matrix, and in the mechanical properties of biological materials. In this paper, helical fiber fragmentation behavior is studied numerically using the finite-element method (FEM), and then, the effects of helical shape on fiber deformation and fracture, and the corresponding mechanical mechanisms are investigated. The results demonstrate that, to a large degree, the initial microfibril angle (MFA) determines the elastic deformation and fracture behavior of fibers. For fibers with a large MFA, the interfacial area usually has large values, inducing a relatively low fragment density during fiber fragmentation. This work may be helpful in understanding the relationship between microstructure and mechanical property in biological materials, and in the design and fabrication of bio-inspired advanced functional materials.

Keywords

Chiral biological materials / Helical fiber / Fiber fragmentation / Deformation / Dissipated energy

References

[1] Meyers MA, Chen PY, Lin AYM, et al. Biological materials: structure and mechanical properties. Prog Mater Sci, 2008, 53(1): 1-206.

[2] Shao Y, Zhao HP, Feng XQ, et al. Discontinuous crack-bridging model for fracture toughness analysis of nacre. J Mech Phys Solids, 2012, 60(8): 1400-1419.

[3] Zhao ZL, Zhao HP, Li BW, et al. Biomechanical tactics of chiral growth in emergent aquatic macrophytes. Scientific Report, 2015, 5: 12610

[4] Ji B, Gao H. Mechanical principles of biological nanocomposites. Annu Rev Mater Res, 2010, 40(1): 77-100.

[5] Song F, Zhou JB, Xu XH, et al. Effect of a negative Poisson ratio in the tension of ceramics. Phy Rev Lett, 2008, 100(24): 245502-1-4.

[6] Wang JS, Wang G, Feng XQ, et al. Hierarchical chirality transfer in the growth of towel gourd tendrils. Sci Rep, 2013, 3: 3102

[7] Wang JS, Cui YH, Shimada T, et al. Unusual winding of helices under tension. Appl Phys Lett, 2014, 105(4): 043702-043705.

[8] Neville AC. Biology of fibrous composites: development beyond the cell membrane, 1993, London: Cambridge University

[9] Zhu HJ, Shimada T, Wang JS, et al. Mechanics of fibrous biological materials with hierarchical chirality. J Appl Mech, 2016, 83(10): 101010

[10] Zhao ZL, Li B, Feng XQ. Handedness-dependent hyperelasticity of biological soft fibers with multilayered helical structures. Int J Nonlinear Mech, 2016, 81: 19-29.

[11] Wang LX, Cui YH, Qin QH, et al. Helical fiber pull-out in biological materials. Acta Mech Solida Sin, 2016, 29(3): 245-256.

[12] Liu JL. The analogy study method in engineering mechanics. Int J Mech Eng Educ, 2013, 41(2): 136-145.

[13] Fratzl P, Misof K, Zizak I, et al. Fibrillar structure and mechanical properties of collagen. J Struct Biol, 1998, 122(1–2): 119-122.

[14] Liu XN, Huang GL, Hu GK. Chiral effect in plane isotropic micropolar elasticity and its application to chiral lattices. J Mech Phys Solids, 2012, 60(11): 1907-1921.

[15] Lakes RS, Benedict RL. Noncentrosymmetry in micropolar elasticity. Int J Eng Sci, 1982, 20(10): 1161-1167.

[16] Slepyan L, Krylov V, Parnes R. Helical inclusion in an elastic matrix. J Mech Phys Solids, 2000, 48(4): 827-865.

[17] Adler DC, Buehler MJ. Mesoscale mechanics of wood cell walls under axial strain. Soft Matter, 2013, 9(29): 7138-7144.

[18] Chen XY, Beyerlein JI, Brinson LC. Curved-fiber pull-out model for nanocomposites. Part 2: interfacial debonding and sliding. Mech Mater, 2009, 41(3): 293-307.

[19] Chen YL, Liu B, He XQ, et al. Failure analysis and the optimal toughness design of carbon nanotube-reinforced composites. Compos Sci Technol, 2010, 70(9): 1360-1367.

[20] Fu SY, Zhou BL, Lung CW. On the pull-out of fibres with a branched structure and the inference of strength and fracture toughness of composites[J]. Compos Sci Technol, 1993, 47(3): 245-250.

[21] Kagawa Y, Nakata E, Yoshida S. Fracture behavior and toughness of helical fiber reinforced composite metals. Progress in science and engineering of composites, 1982, Tokyo: ICCM-IV 1457-1464.

[22] Sørensen BF. Micromechanical model of the single fiber fragmentation test. Mech Mater, 2016, 104: 38-48.

[23] Lee S, Nguyen T, Chin J, et al. Analysis of the single-fiber fragmentation test. J Mater Sci, 1998, 33(21): 5221-5228.

[24] Wang XH, Zhang B, Du SY, et al. Monte Carlo simulation of single fiber composite fragmentation process based on the elastic-plastic shear-lag theory. Acta Mater Compos Sin, 2010, 27(5): 1-6 (in Chinese)

[25] Hibbit K (1995) Hibbitt, Karlsson & Sorenson, Inc., ABAQUS/Standard Users Manual, i–iii. Karlsson & Sorenson, Inc., USA