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Finite element modeling of nanoindentation response of elastic fiber-matrix composites

Published online by Cambridge University Press:  26 July 2018

Pengfei Duan Open the ORCID record for Pengfei Duan [Opens in a new window] ,
Yuqing Xia ,
Steve Bull  and
Jinju Chen
Pengfei Duan
Affiliation:
School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, U.K.
Yuqing Xia
Affiliation:
School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, U.K.
Steve Bull
Affiliation:
School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, U.K.
Jinju Chen*
Affiliation:
School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, U.K.
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

A thorough investigation of nanoindentation response of fiber/matrix composites by using a Berkovich indenter and its equivalent conical counterpart was carried out. Three-dimensional finite element models were developed to study how fiber orientations and the axial distance between the fiber and nanoindenter affect the nanoindentation response of fiber/matrix composites. This demonstrates that the indenter geometry and its orientation have little effect on the nanoindentation response when the fiber is horizontally aligned to the surface. However, when the fiber is vertically embedded in the matrix, the apparent modulus measured by using the Berkovich indenter (depending on the indenter orientation) can be significantly different from its conical counterpart. The results demonstrate that when the ratio of fiber-to-indenter distance over fiber diameter is relatively small, nanoindentation response strongly depends on fiber orientation and distance between fiber and indenter as well as indenter geometry.

Keywords

compositefibernanoindentation
Type
Article
Information
Journal of Materials Research , Volume 33 , Issue 17 , 14 September 2018 , pp. 2494 - 2503
Copyright
Copyright © Materials Research Society 2018 

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References

REFERENCES

Venugopal, J. and Ramakrishna, S.: Applications of polymer nanofibers in biomedicine and biotechnology. Appl. Biochem. Biotechnol. 125, 147 (2005).CrossRefGoogle ScholarPubMed
Rezwan, K., Chen, Q.Z., Blaker, J.J., and Boccaccini, A.R.: Biodegradable and bioactive porous polymer/inorganic composite scaffolds for bone tissue engineering. Biomaterials 27, 3413 (2006).CrossRefGoogle ScholarPubMed
Soloviev, M.: Nanoparticles in Biology and Medicine: Methods and Protocols (Humana Press, New York, 2012).CrossRefGoogle Scholar
Hull, D. and Clyne, T.W.: An Introduction to Composite Materials (Cambridge University Press, Cambridge, 1996).CrossRefGoogle Scholar
Matthews, F.L. and Rawlings, R.D.: Composite Materials: Engineering and Science (Woodhead Publishing, Cambridge, 1999).Google Scholar
Barbero, E.J.: Introduction to Composite Materials Design (CRC Press, Boca Raton, 2010).Google Scholar
Reichert, J.C., Quent, V.M.C., Burke, L.J., Stansfield, S.H., Clements, J.A., and Hutmacher, D.W.: Mineralized human primary osteoblast matrices as a model system to analyse interactions of prostate cancer cells with the bone microenvironment. Biomaterials 31, 7928 (2010).CrossRefGoogle ScholarPubMed
Herruzo, E.T., Perrino, A.P., and Garcia, R.: Fast nanomechanical spectroscopy of soft matter. Nat. Commun. 5, 3126 (2014).CrossRefGoogle ScholarPubMed
Chen, J., Birch, M.A., and Bull, S.J.: Nanomechanical characterization of tissue engineered bone grown on titanium alloy in vitro. J. Mater. Sci.: Mater. Med. 21, 277 (2010).Google ScholarPubMed
Lim, Y.Y., Chaudhri, M.M., and Enomoto, Y.: Accurate determination of the mechanical properties of thin aluminum films deposited on sapphire flats using nanoindentations. J. Mater. Res. 14, 2314 (1999).CrossRefGoogle Scholar
Chakraborty, H. and Bhowmik, N.: Quasi-static and dynamic nanoindentation and scratch behavior of multifunctional titania/poly(methyl methacrylate) composite. Polym. Compos. 35, 1372 (2014).CrossRefGoogle Scholar
Li, X. and Bhushan, B.: Measurement of fracture toughness of ultra-thin amorphous carbon films. Thin Solid Films 315, 214 (1998).CrossRefGoogle Scholar
De Silva, R.T., Pasbakhsh, P., Goh, K.L., Chai, S.P., and Chen, J.: Synthesis and characterisation of poly(lactic acid)/halloysite bionanocomposite films. J. Compos. Mater. 48, 3705 (2014).CrossRefGoogle Scholar
Duan, P. and Chen, J.: Nanomechanical and microstructure analysis of extracellular matrix layer of immortalized cell line Y201 from human mesenchymal stem cells. Surf. Coat. Technol. 284, 417 (2015).CrossRefGoogle Scholar
Chen, J.: On the determination of coating toughness during nanoindentation. Surf. Coat. Technol. 206, 3064 (2012).CrossRefGoogle Scholar
Duan, P., Toumpaniari, R., Partridge, S., Birch, M.A., Genever, P.G., Bull, S.J., Dalgarno, K.W., McCaskie, A.W., and Chen, J.: How cell culture conditions affect the microstructure and nanomechanical properties of extracellular matrix formed by immortalized human mesenchymal stem cells: An experimental and modelling study. Mater. Sci. Eng., C 89, 149 (2018).CrossRefGoogle ScholarPubMed
Argatov, I.I. and Sabina, F.J.: Small-scale indentation of a hemispherical inhomogeneity in an elastic half-space. Eur. J. Mech., A Solids 53, 151 (2015).CrossRefGoogle Scholar
Cao, Y-P. and Chen, K-L.: Theoretical and computational modelling of instrumented indentation of viscoelastic composites. Mech. Time-Depend. Mater. 16, 1 (2012).CrossRefGoogle Scholar
Duan, P., Bull, S., and Chen, J.: Modeling the nanomechanical responses of biopolymer composites during the nanoindentation. Thin Solid Films 596, 277 (2015).CrossRefGoogle Scholar
Clifford, C.A. and Seah, M.P.: Modelling of nanomechanical nanoindentation measurements using an AFM or nanoindenter for compliant layers on stiffer substrates. Nanotechnology 17, 5283 (2006).CrossRefGoogle Scholar
ISO14577: Metallic Materials—Instrumented Indentation Test for Hardness and Materials Parameters—Part 4. Test Method for Metallic and Non-Metallic Coatings (International Standards Organisation, Geneva, Switzerland, 2007).Google Scholar
Clifford, C.A. and Seah, M.P.: Modelling of surface nanoparticle inclusions for nanomechanical measurements by an AFM or nanoindenter: Spatial issues. Nanotechnology 23, 165704 (2012).CrossRefGoogle ScholarPubMed
Chen, J. and Bull, S.J.: On the factors affecting the critical indenter penetration for measurement of coating hardness. Vacuum 83, 911 (2009).CrossRefGoogle Scholar
Low, T.F., Pun, C.L., and Yan, W.: Theoretical study on nanoindentation hardness measurement of a particle embedded in a matrix. Philos. Mag. 95, 1573 (2015).CrossRefGoogle Scholar
Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
Chen, J. and Bull, S.J.: Relation between the ratio of elastic work to the total work of indentation and the ratio of hardness to Young’s modulus for a perfect conical tip. J. Mater. Res. 24, 590 (2009).CrossRefGoogle Scholar
Guo, Y.B. and Yen, D.W.: A FEM study on mechanisms of discontinuous chip formation in hard machining. J. Mater. Process. Technol. 155, 1350 (2004).CrossRefGoogle Scholar
Walter, C., Antretter, T., Daniel, R., and Mitterer, C.: Finite element simulation of the effect of surface roughness on nanoindentation of thin films with spherical indenters. Surf. Coat. Technol. 202, 1103 (2007).CrossRefGoogle Scholar
Bull, S.J.: Modelling the hardness response of bulk materials, single and multilayer coatings. Thin Solid Films 398, 291 (2001).CrossRefGoogle Scholar
G-Berasategui, E., Bull, S.J., and Page, T.F.: Mechanical modelling of multilayer optical coatings. Thin Solid Films 447, 26 (2004).CrossRefGoogle Scholar
Sawa, T., Akiyama, Y., Shimamoto, A., and Tanaka, K.: Nanoindentation of a 10 nm thick thin film. J. Mater. Res. 14, 2228 (1999).CrossRefGoogle Scholar
Wang, M., Liechti, K.M., White, J.M., and Winter, R.M.: Nanoindentation of polymeric thin films with an interfacial force microscope. J. Mech. Phys. Solid. 52, 2329 (2004).CrossRefGoogle Scholar
Chen, J. and Bull, S.J.: A critical examination of the relationship between plastic deformation zone size and Young’s modulus to hardness ratio in indentation testing. J. Mater. Res. 21, 2617 (2006).CrossRefGoogle Scholar
Lichinchi, M., Lenardi, C., Haupt, J., and Vitali, R.: Simulation of Berkovich nanoindentation experiments on thin films using finite element method. Thin Solid Films 312, 240 (1998).CrossRefGoogle Scholar
Bolshakov, A., Oliver, W.C., and Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation: Part II. Finite element simulations. J. Mater. Res. 11, 760 (1996).CrossRefGoogle Scholar
Bei, H., George, E.P., Hay, J.L., and Pharr, G.M.: Influence of indenter tip geometry on elastic deformation during nanoindentation. Phys. Rev. Lett. 95, 045501 (2005).CrossRefGoogle ScholarPubMed
Min, L., Wei-Min, C., Nai-Gang, L., and Ling-Dong, W.: A numerical study of indentation using indenters of different geometry. J. Mater. Res. 19, 73 (2004).CrossRefGoogle Scholar
Swaddiwudhipong, S., Hua, J., Tho, K.K., and Liu, Z.S.: Equivalency of Berkovich and conical load-indentation curves. Modell. Simul. Mater. Sci. Eng. 14, 71 (2006).CrossRefGoogle Scholar
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